Original Titles
1 Constructio linearum isochronarum in medio quocunque resistente
2 Dissertatio physica de sono
3 Methodus inveniendi traiectorias reciprocas algebraicas
4 Meditationes super problemate nautico, quod illustrissima regia Parisiensis Academia scientarum proposuit
5 Problematis traiectoriarum reciprocarum solutio
6 Dissertatio de novo quodam curvarum tautochronarum genere
7 Tentamen explicationis phaenomenorum aeris
8 Solutio problematis de invenienda curva, quam format lamina utcunque elastica in singulis punctis a potentiis quibuscunque sollicitata
9 De linea brevissima in superficie quacunque duo quaelibet puncta iungente
10 Nova methodus innumerabiles aequationes differentiales secundi gradus reducendi ad aequationes differentiales primi gradus
11 Constructio aequationum quarundam differentialium, quae indeterminatarum separationem non admittunt
12 De innumerabilibus curvis tautochronis in vacuo
13 Curva tautochrona in fluido resistentiam faciente secundum quadrata celeritatum
14 Solutio problematis astronomici ex datis tribus stellae fixae altitudinibus et temporum differentiis invenire elevationem poli et declinationem stellae.
15 Mechanica, volume 1
16 Mechanica, volume 2
17 Rechenkunst
18
De Indorum anno solari astronomico
19
De progressionibus transcendentibus seu quarum termini generales algebraice dari nequeunt
20
De summatione innumerabilium progressionum
21
Quomodo data quacunque curva inveniri oporteat aliam quae cum data quodammodo iuncta ad tautochronismum producendum sit idonea
22
De communicatione motus in collisione corporum
23
De curvis rectificabilibus algebraicis atque traiectoriis reciprocis algebraicis
24
Solutio singularis casus circa tautochronismum
25
Methodus generalis summandi progressiones
26
Observationes de theoremate quodam Fermatiano aliisque ad numeros primos spectantibus
27
Problematis isoperimetrici in latissimo sensu accepti solutio generalis
28
Specimen de constructione aequationum differentialium sine indeterminatarum separatione
29
De solutione problematum diophanteorum per numeros integros
30
De formis radicum aequationum cuiusque ordinis coniectatio
31
Constructio aequationis differentialis axn dx = dy + y2 dx
32
Von der Gestalt der Erden
33
Tentamen novae theoriae musicae
34
Dissertatio de igne in qua ejus natura et proprietates explicantur
35
Einleitung zur Rechen-Kunst zum Gebrauch des Gymnasii bey der Kayserlichen Academie der Wissenschafften in St. Petersburg.
36
Solutio problematis arithmetici de inveniendo numero, qui per datos numeros divisus relinquat data residua
37
De motu planetarum et orbitarum determinatione
38
Orbitae solaris determinatio
39
Solutio problematum quorundam astronomicorum
40
De minimis oscillationibus corporum tam rigidorum quam flexibilium. Methodus nova et facilis.
41
De summis serierum reciprocarum
42
De linea celerrimi descensus in medio quocunque resistente
43
De progressionibus harmonicis observationes
44
De infinitis curvis eiusdem generis seu methodus inveniendi aequationes pro infinitis curvis eiusdem generis
45
Additamentum ad dissertationem de infinitis curvis eiusdem generis
46
Methodus universalis serierum convergentium summas quam proxime inveniendi
47
Inventio summae cuiusque seriei ex dato termino generali
48
Investigatio binarum curvarum, quarum arcus eidem abscissae respondentes summam algebraicam constituant
49
De oscillationibus fili flexilis quotcunque pondusculis onusti
50
Methodus computandi aequationem meridiei.
51
De constructione aequationum ope motus tractorii aliisque ad methodum tangentium inversam pertinentibus
52
Solutio problematum rectificationem ellipsis requirentium
53
Solutio problematis ad geometriam situs pertinentis
54
Theorematum quorundam ad numeros primos spectantium demonstratio
55
Methodus universalis series summandi ulterius promota
56
Curvarum maximi minimive proprietate gaudentium inventio nova et facilis
57
Inquisitio physica in causam fluxes ac refluxus maris
58
Determinatio orbitae cometae qui mense Martio huius anni 1742 potissimum fuit observatus
59
Theoremata circa reductionem formularum integralium ad quadraturam circuli
60
De inventione integralium, si post integrationem variabili quantitati determinatus valor tribuatur
61
De summis serierum reciprocarum ex potestatibus numerorum naturalium ortarum dissertatio altera, in qua eaedem summationes ex fonte maxime diverso derivantur
62
De integratione aequationum differentialium altiorum graduum
63
Demonstration de la somme de cette suite 1 + 1/4 + 1/9 + 1/16 …
64
Leonhardus Eulerus mathematicus acutissimus ad auctorem
65
Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
66
Theoria motuum planetarum et cometarum
67
Beantwortung verschiedener Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen.
68
Fortgesetzte Beantwortung der Fragen uber die Beschaffenheit, Bewegung und Wurckung der Cometen.
69
De communicatione motus in collisione corporum sese non directe percutientium
70
De constructione aequationum
71
De fractionibus continuis dissertatio
72
Variae observationes circa series infinitas
73
Solutio Problematis geometrici circa lunulas a circulis formatas
74
De variis modis circuli quadraturam numeris proxime exprimendi
75
Solutio problematis in Novorum Actorum Eruditorum mense novembri A. 1743 propositi
76
Novae et correctae tabulae ad loca lunae computanda
77
Neue Grundsatze der Artillerie
78
Dissertation sur la meilleure construction du cabestan
79
Problema geometricum propositum publice ab Anonymo Geometra
80
Opuscula varii argumenti.
81
Gedancken von den Elementen der Corper
82
De la force de percussion et de sa veritable mesure
83
Sur quelques proprietes des Sections coniques qui conviennent a un infinite d'autres lignes courbes
84
Leonhardi Euleri animadversio ad libri praecedentis sec. 83 et seq. de curvis elasticis
85
Solutio problematis catoptrici in his actis A. 1745 Mense Septembri P. I pag. 523 propositi
86
De motu corporum in superficiebus mobilibus
87
Tabulae astronomicae solis et lunae
88
Nova theoria lucis et colorum
89
De relaxatione motus planetarum
90
Enodatio quaestionis utrum materiae facultas cogitandi tribui possit necne
91
Recherches physiques sur la nature des moindres parties de la matiere
92
Rettung der gottlichen Offenbahrung gegen die Einwurfe der Freygeister.
93
Disquitio de bilancibus
94
De motu cymbarum remis propulsarum in fluviis
95
De aequationibus differentialibus, quae certis tantum casibus integrationem admittunt
96
De machinarum tam simplicium quam compositarum usu maxime lucroso
97
De attractione corporum sphaeroidico-ellipticorum
98
Theorematum quorundam arithmeticorum demonstrationes
99
Solutio problematis cuiusdam a Celeberrimo Daniele Bernoullio propositi
100
De numeris amicabilibus
101
Introductio in analysin infinitorum, volume 1
102
Introductio in analysin infinitorum, volume 2
103
Recherches physiques sur la cause de la queue (!) des cometes, de la lumiere boreale, et de la lumiere zodiacale
104
Memoire sur l'effet de la propagation successive de la lumiere dans l'apparition tant des planetes que des cometes
105
Memoire sur la plus grande equation des planetes
106
Solutio problematis catoptrici in Novis Actis Eruditorum Lipsiensibus pro mense Novembri A. 1745 propositi
107
Extract of a letter from Mr. Leonhard Euler, Prof. Mathem. and Member of the Imperial Society at Petersburgh, to the Rev. Mr. Cha. Wetstein, Chaplain and Secretary to His Royal Highness the Prince of Wales, concerning the Discoveries of the Russians on the North-East Coast of Asia.
108
De observatione inclinationis magneticae dissertatio
109
Dissertatio de magnete.
110
Scientia Navalis, volume 1
111
Scientia Navalis, volume 2
112
Recherches sur le mouvement des corps celestes en general
113
Methode pour trouver les vrais momens tant des nouvelles que des pleines lunes, par Mr. Euler
114
Methode de trouver le vrai lieu geocentrique de la lune par l'observation de l'occultation d'une etoile fixe. Par Mr. Euler
115
Methode de determiner la longitude des lieux par l'observation d'occultations des etoiles fixes par la lune
116
Memoire sur la force des rames
117
Reflexions sur la derniere eclipse du Soleil du 25 julliet a. 1748. Par Mr. Euler
118
Sur la perfection des verres objectifs des lunettes
119
De vibratione chordarum exercitatio
120
Recherches sur la question des inegalites du mouvement de Saturne et de Jupiter
121
Opuscula Varii Argumenti, Bd. 2
122
De productis ex infinitis factoribus ortis
123
De fractionibus continuis observationes
124
Determinatio caloris et frigoris graduum pro singulis terrae locis ac temporibus.
125
Consideratio progressionis cuiusdam ad circuli quadraturam inveniendam idoneae
126
De novo genere oscillationum
127
Explicatio phaenomenorum quae a motu lucis successive oriuntur
128
Methodus facilis computandi angulorum sinus ac tangentes tam naturales quam artificiales
129
Investigatio curvarum quae evolutae sui similes producunt
130
De seriebus quibusdam considerationes
131
Emendatio tabularum astronomicarum per loca planetarum geocentrica
132
Methodus viri celeberrimi Leonhardi Euleri determinandi gradus meridiani pariter ac paralleli telluris, secundum mensuram a celeb. de Maupertuis cum sociis institutam
133
De superficie conorum scalenorum aliorumque corporum conicorum
134
Theoremata circa divisores numerorum
135
Variae demonstrationes geometriae
136
De propagatione pulsuum per medium elasticum
137
Examen artificii navis a principio motus interno propellendi
138
De motu nodorum lunae eiusque inclinationis ad eclipticam variatione
139
Quantum motus terrae a luna perturbetur accuratius inquiritur
140
Sur la vibration des cordes (Traduit du Latin)
141
Sur l'accord des deux dernieres eclipses du soleil et de la lune avec mes tables, pour trouver les vrais momens des pleni-lunes et novi-lunes, par M. Euler
142
Sur l'atmosphere de la lune prouvee par la derniere eclipse annulaire du soleil.
143
Sur le frottement des corps solides
144
Sur la diminution de la resistance du frottement
145
Recherches sur les plus grands et plus petits qui se trouvent dans les actions des forces
146
Reflexions sur quelques loix generales de la nature qui s'observent dans les effets des forces quelconques
147
Sur un contradiction apparente dans la doctrine des lignes courbes
148
Demonstration sur le nombre des points, ou deux lignes des ordres quelconques peuvent se couper.
149
Reflexions sur l'espace et le tems
150
Meditationes in quaestionem observationibus temporis momentum determinandi
151
Coniectura physica circa propagationem soni ac luminis
152
De numeris amicabilibus
153
Demonstratio gemina theorematis Neutoniani, quo traditur relatio inter coefficientes cuiusvis aequationis algebraicae et summas potestatum radicum eiusdem
154
Animadversiones in rectificationem ellipsis
155
Auszug eines Briefes von Hrn. Euler uber die Vorstellung der Sternenbilder auf der Himmelskugel
156
Opusculorum tomus III
157
De extractione radicum ex quantitatibus irrationalibus
158
Observationes analyticae variae de combinationibus
159
De motu oscillatorio corporum flexibilium
160
De descensu corporum super plano inclinato aspero
161
De motu corporum super plano horizontali aspero
162
Methodus integrandi formulas differentiales rationales unicam variabilem involventes
163
Methodus facilior atque expeditior integrandi formulas differentiales rationales
164
Theoremata circa divisores numerorum in hac forma paa ± qbb contentorum
165
De motu corporum flexibilium
166
De reductione linearum curvarum ad arcus circulares
167
Solutio problematis difficillimi a Fermatio propositi
168
De la controverse entre Mrs. Leibniz et Bernoulli sur les logarithmes des nombres negatifs et imaginaires
169
Sur le point de rebroussement de la seconde espece de M. le Marquis de l'Hopital
170
Recherches sur les racines imaginaires des equations
171
Recherches sur la precession des equinoxes st sur la nutation de l'axe de la terre
172
De la parallaxe de la lune tant par rapport a sa hauteur qu'a son azimuth, dans l'hypothese de la terre spheroidique. Mar M. Euler
173
Nova methodus inveniendi traiectorias reciprocas algebraicas
174
De motu corporum flexibilium
175
Decouverte d'une loi tout extraordinaire des nombres par rapport a la somme de leurs diviseurs
176
Expose concernant l'examen de la lettre de M. de Leibnitz alleguee par M. le Professeur Koenig, dans le mois de mars, 1751 des Actes de Leipzig, a l'occasion du principe de la moindre action
177
Decouverte d'un nouveau principe de Mecanique
178
Reflexions sur les divers dégrés de lumière du soleil et des autres corps celestes
179
Recherches sur l'effet d'un machine hydraulique proposee par M. Segner, professeur a Goettingue
180
Avertissement au sujet des recherches sur la precession des equinoxes
181
Recherches sur l'origine des forces
182
Lettre de M. Euler a M. Merian
183
Part of a Letter from Leonard Euler, Prof. Math. at Berlin, and F.R.S. To the Rev. Mr. Caspar Wetstein, Chaplain to his Royal Highness the Prince of Wales, concerning the gradual Approach of the Earth to the Sun.
184
Part of a Letter from Mr. Professor Euler to the Reverend Mr. Wetstein, Chaplain to his Royal Highness the Prince, concerning the Contraction of the Orbits of the Planets.
185
Praefatio Euleri ad opus Examen temporum mediorum secundum principia astronomica et Chronologica institutum ab Henrico Guilielmo Clemm. Berolini 1752
186
Dissertation sur le principe de la moindre action, avec l'examen des objections de M. le Professeur Koenig faites contre ce principe. 186=198+199
187
Theoria motus lunae exhibens omnes eius inaequalitates. In additamento hoc idem argumentum aliter tractatur simulque …
188
Methodus aequationes differentiales altiorum graduum integrandi ulterius promota
189
De serierum determinatione seu nova methodus inveniendi terminos generales serierum
190
Consideratio quarumdam serierum, quae singularibus proprietatibus sunt praeditae
191
De partitione numerorum
192
Solutio problematis geometrici
193
De perturbatione motus planetarum ab eorum figura non sphaerica oriunda
194
De machinis in genere
195
De motu tautochrono pendulorum compositorum
196
Emendatio laternae magicae ac microscopii solaris
197
Harmonie entre les principes generaux de repos et de mouvement de M. de Maupertuis
198
Sur le principe de la moindre action
199
Examen de la dissertation de M. le Professeur Koenig, inseree dans les actes de Leipzig, pour le mois de mars 1751
200
Essay d'une demonstration metaphysique du principe general de l'equilibre
201
Calcul de la probabilite dans le jeu de rencontre
202
Application de la machine hydraulique de M. Segner a toutes sortes d'ouvrages et de ses avantages sur les autres machines hydrauliques dont on se sert ordinairement
203
Recherche sur une nouvelle maniere d'elever de l'eau proposee par m. de Mour
204
Extract of a Letter from Professor Euler, of Berlin, to the Rev. Mr. Caspar Wetstein, Chaplain to Her Royal Highness the Princess Dowager of Wales.
205
Atlas Geographicus, Praefatio
206
Sur le mouvement de l'eau par des tuyaux de conduite
207
Discussion plus particuliere de diverses manieres d'elever de l'eau par le moyen des pompes avec le plus grand avantage
208
Maximes pour arranger le plus avantageusement les machines destinees a elever de l'eau par le moyen des pompes
209
Essai d'une explication physique des couleurs engendrees sur des surfaces extremement minces
210
Letters relating to a Theorem of Mr. Euler, of the Royal Academy of Sciences at Berlin, and F.R.S. for correcting the Aberrations in the Object-Glasses of refracting Telescopes.
211
Problema, ad cuius solutionem geometrae invitantur; theorema, ad cuius demonstrationem geometrae invitantur
212
Institutiones calculi differentialis cum eius usu in analysi finitorum ac doctrina serierum, volume 1
213
Remarques sur les memoires precedens de M. Bernoulli
214
Principes de la trigonometrie spherique tires de la methode des plus grands et plus petits
215
Elemens de la trigonometrie spheroidique tires de la methode des plus grands et plus petits
216
Examen d'une controverse sur la loi de refraction des rayons de differentes couleurs par rapport a la diversite des milieux transparens par lesquels ils sont transmis
217
Recherches sur la veritable courbe que decrivent les corps jettes dans l'air ou dans un autre fluide quelconque
218
Brief von L. Euler an E Pontoppidan vom 11. Mai 1754
219
De la refraction de la lumiere en passant par l'atmosphere selon les divers degres tant de la chaleur que de l'elasticite de l'air
220
Reflexions sur un probleme de geometrie traite par quelques geometres et qui est neanmoins impossible
221
Recherches physiques sur la diverse refrangibilite des rayons de lumiere
222
Theorie plus complette des machines qui sont mises en mouvement par la reaction de l'eau
223
De la variation de la latitude des etoiles fixes et de l'obliquite de l'ecliptique
224
Avertissement
225
Principes generaux de l'etat d'equilibre des fluides
226
Principes generaux du mouvement des fluides
227
Continuation des recherches sur la theorie du mouvement des fluides
228
De numeris, qui sunt aggregata duorum quadratorum
229
De constructione aptissima molarum alatarum
230
Elementa doctrinae solidorum
231
Demonstratio nonnullarum insignium proprietatum, quibus solida hedris planis inclusa sunt praedita
232
De motu corporum coelestium a viribus quibuscunque perturbato
233
Recherches plus exactes sur l'effet des moulins a vent
234
Experiences pour determiner la refraction de toutes sortes de liqueurs transparentes
235
Sur l'action des scies
236
Exposition de quelques paradoxes dans le calcul integral
237
Recherches sur la declinaison de l'aiguille aimantee.
238
Sur la force des colonnes
239
Regles generales pour la construction des Telescopes et des Microscopes, de quelque nombre de verres qu'ils soient composes
240
Recherches sur les lunettes a trois verres qui representent les objets renverses
241
Demonstratio theorematis Fermatiani omnem numerum primum formae 4n+1 esse summam duorum quadratorum
242
Demonstratio theorematis Fermatiani omnem numerum sive integrum sive fractum esse summam quatuor pauciorumve quadratorum
243
Observatio de summis divisorum
244
Demonstratio theorematis circa ordinem in summis divisorum observatum
245
De methodo Diophanteae analoga in analysi infinitorum
246
Subsidium calculi sinuum
247
De seriebus divergentibus
248
De cochlea Archimedis
249
De aptissima figura rotarum dentibus tribuenda
250
Methodus inveniendi infinitas curvas isoperimetras aliave communi proprietate praeditas
251
De integratione aequationis differentialis (m dx)/√(1-x4) = (n dy)/√(1-y4)
252
Observationes de comparatione arcuum curvarum irrectificibilium
253
De problematibus indeterminatis, quae videntur plus quam determinata
254
De expressione integralium per factores
255
Solutio generalis quorundam problematum Diophanteorum, quae vulgo nonnisi solutiones speciales admittere videntur
256
Specimen de usu observationum in mathesi pura
257
De frictione corporum rotantium
258
Principia motus fluidorum
259
De motu et reactione aquae per tubos mobiles transfluentis
260
Tentamen theoriae de frictione fluidorum
261
Specimen alterum methodi novae quantitates transcendentes inter se comparandi; de comparatione arcuum ellipsis
262
Theoremata circa residua ex divisione potestatum relicta
263
Specimen novae methodi curvarum quadraturas et rectificationes aliasque quantitates transcendentes inter se comparandi
264
Demonstratio theorematis et solutio problematis in actis erud. Lipsiensibus propositorum
265
De aequationibus differentialibus secundi gradus
266
Constructio lentium obiectivarum ex duplici vitro quae neque confusionem a figura sphaerica oriundam neque dispersionem colorum pariant
267
Extrait d'une lettre de M. Euler ecrite a M. Du Hamel le 3 Fevrier 1756
268
Lettre de M. Euler a M. de la Grange
269
De integratione aequationum differentialium
270
Solutio problematis de investigatione trium numerorum, quorum tam summa quam productum nec non summa productorum ex binis sint numeri quadrati
271
Theoremata arithmetica nova methodo demonstrata
272
Supplementum quorundam theorematum arithmeticorum, quae in nonnullis demonstrationibus supponuntur
273
Consideratio formularum, quarum integratio per arcus sectionum conicarum absolvi potest
274
Constructio aequationis differentio-differentialis Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, sumto elemento du constante
275
Annotationes in locum quendam Cartesii ad circuli quadraturam spectantem
276
Dilucidationes de resistentia fluidorum
277
Principia theoriae machinarum
278
De motu et attritu lentium dum super catinis poliuntur
279
De resolutione formularum quadricarum indeterminatarum per numeros integros
280
De progressionibus arcuum circularium, quorum tangentes secundum certam legem procedunt
281
Specimen algorithmi singularis
282
De resolutione aequationum cuiusvis gradus
283
De numeris primis valde magnis
284
De resolutione aequationis dy + ayy dx = bxm dx
285
Investigatio functionum ex data differentialium conditione
286
De motu vibratorio fili flexilis, corpusculis quotcunque onusti
287
De motu vibratorio cordarum inaequaliter crassarum
288
Cogitationes de aggeribus construendis
289
Theoria motus corporum solidorum seu rigidorum
290
Geometrija dlja upotreblenija w akademitscheskoj gimnasii [russian]
291
Recherches sur la connoisance mechanique des corps
292
Du mouvement de rotation des corps solides autour d'un axe variable
293
Remarques generales sur le mouvement diurne des planetes
294
Remarques de M. Euler sur quelques passages qui se trouvent dans le troisieme volume des opuscules mathematiques de M. d'Alembert
295
De reductione formularum integralium ad rectificationem ellipsis ac hyperbolae
296
Elementa calculi variationum
297
Analytica explicatio methodi maximorum et minimorum
298
De insigni promotione methodi tangentium inversae
299
Dilucidationes de tautochronis in medio resistente
300
Demonstratio theorematis Bernoulliani quod ex evolutione curvae cuiuscunque rectangulae in infinitum continuata tandem cycloides nascantur
301
De motu corporis ad duo centra virium fixa attracti
302
De motu vibratorio tympanorum
303
Tentamen de sono campanarum
304
Considerationes de motu corporum coelestium
305
De la propagation du son
306
Supplement aux recherches sur la propagation du son
307
Continuation des recherches sur la propatation du son
308
Recherches sur le mouvement de rotation des corps celestes
309
Solution d'une question curieuse que ne paroit soumise a aucune analyse
310
Nouvelle methode d'eliminer les quantites inconnues des equations
311
Recherches sur les microscopes simples et les moyens de les perfectionner
312
Recherches sur les microscopes a trois verres et les moyens de les perfectionner
313
Sur l'avantage du banquier au jeu de Pharon
314
Conjecture sur la raison de quelques dissonances generalement recues dans la musique
315
Du veritable caractere de la musique moderne
316
Des lunettes a trois verres qui representent les objets debout
317
Eclaircissemens sur le mouvement des cordes vibrantes
318
Recherches sur le mouvement des cordes inegalement grosses
319
Recherches sur l'integration de l'equation (ddz/dt2)=aa(ddz/dx2)+(b/x)(dz/dx) + (c/xx)z
320
Recherches sur la construction des nouvelles lunettes a 6 et 6 verres et leur perfection ulterieure
321
Observationes circa integralia formularum ∫ xp-1dx(1-xn)q/n-1 posito post integrationem x = 1
322
De usu functionum discontinuarum in analysi
323
De usu novi algorithmi in problemate Pelliano solvendo
324
Proprietates triangulorum, quorum anguli certam inter se tenent rationem
325
Solutio facilis problematum quorundam geometricorum difficillimorum
326
Observationes analyticae
327
De motu rectilineo trium corporum se mutuo attrahentium
328
De motu corporis ad duo centra virium fixa attracti
329
De phaenomenis coeli per segmenta sphaerica diaphana spectati
330
Supplementum de figura dentium rotarum
331
De motu fluidorum a diverso caloris gradu oriundo
332
Recherches sur le mouvement des rivieres
333
Recherches sur la courbure des surfaces
334
Recherches generales sur la mortalite et la multiplication du genre humain
335
Sur les rentes viageres
336
Du mouvement d'un corps solide quelconque lorsq'il tourne autour d'un axe mobile
337
Probleme. Un corps etant attire en raison reciproque quarree des distances vers deux points fixes donnes trouver les cas ou la courbe decrite par ce corps sera algebrique, resolu par M. Euler
338
Sur la probabilte des sequences dans la lotterie Genoise
339
Sur le mouvement d'un corde, que au commencement n'a ete ebranlee que dans un partie
340
Éclaircissemens plus détaillés sur la génération et la propagation du son et sur la formation de l'écho
341
Nachricht von einem neuen Mittel zur Vermehrung des Getreides
342
Institutionum calculi integralis volumen primum
343
Lettres a un princesse d'Allemagne sur divers sujets de physique & de philosophie
344
Lettres a un princesse d'Allemagne sur divers sujets de physique & de philosophie
345
Integratio aequationis dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4)
346
De arcubus curvarum aeque amplis earumque comparatione
347
Evolutio generalior formularum comparationi curvarum inservientium
348
Methodus facilis motus corporum coelestium utcunque perturbatos ad rationem calculi astronomici revocandi
349
Disquitio de vera lege refractionis radiorum diversicolorum
350
De novo microscopiorum genere ex sex lentibus composito
351
De telescopiis quatuor lentibus instructis eorumque perfectione
352
Remarques sur un beau rapport entre les series des puissances tant directes que reciproques
353
Recherches sur la confusion des verres dioptriques causee par leur ouverture
354
Recherches sur les moyens de diminuer ou de réduire même à rien la confusion causée par l'ouverture des verres
355
Nouvelle manière de perfectionner les verres objectifs des lunettes
356
Détermination du champ apparent que découvrent tant les télescopes que les microscopes
357
Regles generales pour la construction des telescopes et des microscopes
358
Sur la perfection des lunettes astronomiques qui representent les objets renverses
359
Construction des objectifs composés de deux différentes sortes de verre qui ne produisent aucune confusion, ni par leur overture, ni par la différente réfrangibilité des rayons, avec la manière la plus advantageuse d'en faire des lunettes
360
Construction des objectifs composes propre a detruire toute la confusion dans les lunettes
361
Reflexions sur la maniere d'examiner la refraction du verre par le moyen des prismes
362
Corrections necessaires pour la theorie de la declinaison magnetique, proposee dans le XIII volume des Memoires.
363
Precis d'une theorie generale de la dioptrique
364
Lettre ecrite a l'academie royale des sciences de Berlin
365
Extraits de quelques lettres d'Euler a d'Alembert
366
Institutionum calculi integralis volumen secundum
367
Dioptricae pars prima continens lubrum primum de explicatione principiorum, ex quibus constructio tam telescopiorum quam microscopiorum est petenda
368
De curva hypergeometrica hac aequatione expressa y = 1*2*3*...*x
369
Quomodo numeri praemagni sint explorandi, utrum sint primi necne
370
Nova criteria radices aequationum imaginarias discoscendi
371
Considerationes de theoria motus Lunae perficienda et imprimis de eius variatione
372
Annotatio quarundam cautelarum in investigatione inaequalitatum quibus corpora coelestia in motu perturbantur observandarum
373
Investigatio accuratior phaenomenorum quae in motu terrae diurno a viribus coelestibus produci possunt
374
De aequilibrio et motu corporum flexuris elasticis iunctorum
375
Sectio prima de statu aequilibrii fluidorum
376
Considerations sur les difficultes qu'on rencontre dans l'execution des verres objectifs de toute confusion
377
Recherches sur les telescopes a reflexion et les moyens de les perfectionner
378
Recherches sur un autre construction des telescopes a reflexion
379
Sur la confusion que cause dans les instrumens dioptriques la diverse refrangibilite des rayons
380
Considérations sur les nouvelles lunettes d'Angleterre de Mr. Dollond et sur le principe qui en est le fondement
381
Sur les avantages des verres objectifs composes de deux verres simples
382
Remarques sur l'effet du frottement dans l'equilibre
383
Methode pour porter les verres objectifs des lunettes a un plus haut degre de perfection
384
Recherches sur les inegalites de Jupiter et de Saturne
385
Institutionum calculi integralis volumen tertium
386
Dioptricae pars secunda continens lubrum secundum de constructione telescopiorum dippticorum cum appendice de constructione telescopiorum catoptico-dioptricorum
387
Vollstandige Anleitung zur Algebra, book 1
388
Vollstandige Anleitung zur Algebra, book 2
389
Recherches et calculs sur la vraie orbite elliptique de le comete de l'an 1769 et son tems periodique
390
Considerationes de traiectoriis orthogonalibus
391
De formulis integralibus duplicatis
392
Evolutio insignis paradoxi circa aequalitatem superficierum
393
De summis serierum numeros Bernoullianos involventium
394
De partitione numerorum in partes tam numero quam specie datas
395
De inventione quotcumque mediarum proportionalium citra radicum extractionem
396
Sectio secunda de principiis motus fluidorum
397
Expositio methodorum, cum pro determinanda parallaxi solis ex observato transitu Veneris per solem, tum pro inveniendis longitudinibus locorum super terra, ex observationibus eclipsium solis, una cum calculis et conclusionibus inde deductis
398
Nouvelle methode de determiner les derangemens dans le mouvement des corps celestes, causes par leur action mutuelle.
399
Reflexions sur les diverses manieres dont on peut representer le mouvement de la lune
400
Considerations sur le probleme des trois corps.
401
Nouvelle maniere de comparer les observations de la lune avec la théorie.
402
Du mouvement des absides des satellites de Jupiter
403
Des Herrn Leonhard Eulers nothige Berechnung zur Einrichtung einer Witwencasse
404
Dioptricae pars tertia, continens librum tertium, de constructione microscopiorum tam simplicium, quam compositorum
405
Solutio problematis, quo duo quaeruntur numeri, quorum productum tam summa quam differentia eorum sive auctum sive minutum fiat quadratum
406
Observationes circa radices aequationum
407
Problema algebraicum ob affectiones prorsus singulares memorabile
408
De curva rectificabili in superficie sphaerica
409
Sectio tertia de motu fluidorum lineari potissimum aquae
410
Genuina principia doctrinae de statu aequilibrii et motu corporum tam perfecte flesibilium quam elasticorum
411
De ictu glandium contra tabulam explosarum
412
Solution d'une question très difficile dans le calcul des probabilités
413
De promotione navium sine vi venti (Memoire sur la manier de suppleer a l'action du vent)
414
Investigatio perturbationum quibus planetarum motus ob actionem eorum mutuam afficiuntur.
415
Sur le roulis et le tangage
416
Meditationes in quaestionem utrum motus medius planetarum semper maneat aeque velox, an successu temporis quampiam mutationem patiatur? & quaenam sit ejus causa? …
417
Lettres a une princess d'Allemagne sur divers sujets de physique & de philosophie Tome troisieme A Saint Petersbourg de l'imprimerie de l'academie imperiale des sciences MDCCLXXII
418
Theoria motuum lunae
419
De solidis quorum superficiem in planum explicare licet
420
Methodus nova et facilis calculum variationum tractandi
421
Evolutio formulae integralis ∫ x f-1 dx (lx)m/n integratione a valore x = 0 ad x = 1 extensa
422
Problematis cuiusdam geometrici prorsus singularis evolutio
423
Considerationes cyclometricae
424
Sectio quarta de motu aeris in tubis
425
De perturbatione motus terrae ab actione Veneris oriunda
426
Theorie complete de la construction et de la manoeuvre des vaisseaux
427
Problematis cuiusdam Diophantei evolutio
428
Observationes circa bina biquadrata, quorum summam in duo alia biquadrata resolvere liceat
429
De variis integrabilitatis generibus
430
Observationes circa aequationem differentialem y dy + My dx + N dx = 0
431
Consideratio aequationis differentio-differentialis (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx2/xx) = 0
432
Exercitationes analyticae
433
Digressio de traiectoriis tam orthogonalibus quam obliquangulis
434
De collisione corporum gyrantium
435
De collisione corporum pendulorum, tam obliqua, quam motu gyratorio perturbata
436
De vera tautochrona in fluido
437
De tautochrona in medio rarissimo, quod resistit in ratione multiplicata quacunque celeritatis
438
Dilucidationes de tautochronismo
439
De chordis vibrantibus disquisitio ulterior
440
Animadversiones in solutionem Bernoullianam de motu chordarum ex duabus partibus diversae crassitiei compositarum Tomo XVI Novorum Commentariorum
441
De motu vibratorio chordarum ex partibus quotcunque diversae crassitiei compositarum
442
De motu vibratorio chordarum crassitie utcunque variabili praeditarum
443
De motu vibratorio laminarum elasticarum, ubi plures novae vibrationum species hactenus non pertractatae evolvuntur
444
De motu gravium citissimo super curvis specie datis
445
Novae demonstrationes circa resolutionem numerorum in quadrata
446
Instruction detaillee pour porter les lunettes de toutes les differentes especes au plus haut degre de perfection dont elles sont susceptibles
447
Summatio progressionum
sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ);
cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ).
448
Nova series infinita maxime convergens perimetrum ellipsis exprimens
449
Demonstrationes circa residua ex divisione potestatum per numeros primos resultantia
450
Nova ratio quantitates irrationales proxime exprimendi
451
Solutio problematis de inveniendo triangulo, in quo rectae ex singulis angulis latera opposita bisecantes sint rationales
452
Resolutio aequationis Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros
453
Insignes proprietates serierum sub hoc termino generali contentarum x = (1/2)(a+b/√k)(p+q√k)n + (1/2)(a-b/√k)(p-q√k)n
454
De resolutione irrationalium per fractiones continuas, ubi simul nova quaedam et singularis species minimi exponitur
455
Determinatio motus oscillatorii in praecedente dissertatione pertracti, ex primis mechanicae principiis petita
456
De pressione ponderis in planum cui incumbit
457
De harmoniae veris principiis per speculum musicum repraesentatis
458
Nova methodus motus planetarum principalium ad tabulas astronomicas reducendi
459
Disquisitio de lentibus obiectivis triplicatis, quae vel nullam confusionem pariant vel etiam datam confusionem a reliquis lentibus ortam destruere valeant
460
De applicatione lentium obiectivarum compositarum ad omnis generis telescopia
461
Extrait d'un lettre de M. Euler le pere a M. Bernoulli concernant le memoire imprime parmi ceux de 1771 p 318
462
De valore formulae integralis ∫ (xm-1 ± zm-n-1)/(1 ± zn) dz casu quo post integrationem ponitur z = 1
463
De valore formulae integralis ∫ (zλ-ω ± zλ+ω)/(1 ± z2λ)(dz/z)(lz)μ casu quo post integrationem ponitur z = 1
464
Nova methodus quantitates integrales determinandi
465
Demonstratio theorematis Neutoniani de evolutione potestatum binomii pro casibus, quibus exponentes non sunt numeri integri
466
Problema Diophanteum singulare
467
De tabula numerorum primorum usque ad millionem et ultra continuanda, in qua simul omnium numerorum non primorum minimi divisores exprimantur
468
De oscillationibus minimis penduli quotunque pondusculis onusti
469
De motu oscillatorio binarum lancium ex libra suspensarum
470
Explicatio motus oscillatorii mirabilis in libra maiore observati
471
De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur
472
Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo
473
Eclarcissemens sur les etablissemens publics en faveur tant des veuves que des morts, avec la description d'une nouvelle espece de Tontine aussi favorable au Public qu'utile a l'Etat. …
474
Solutio quorundam problematum Diophanteorum
475
Speculationes analyticae
476
Observationes circa novum et singulare progressionum genus
477
Meditationes circa singulare serierum genus
478
Formulae generales pro translatione quacunque corporum rigidorum
479
Nova methodus motum corporum rigidorum degerminandi
480
Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli
481
De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu
482
De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …
483
De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli.
484
De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur.
485
Reponse a la question proposee par l'academie royale des sciences de Paris, pour l'annee 1770.
486
Reponse a la question proposee par l'academie royale des sciences de Paris, pour l'annee 1772.
487
Reflections de M. L. Euler sur quelques nouvelles experiences optiques, communiquees a l'academie des sciences, par Mr. Wilson
488
Observationes in praecedentem dissertationem illustris Bernoulli
489
De formulis exponentialibus replicatis
490
De repraesentatione superficiei sphaericae super plano
491
De proiectione geographica superficiei sphaericae
492
De proiectione geographica Deslisliana in mappa generali imperii russici usitata
493
Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata
494
De figura quam ventus fluido stagnanti inducere valet
495
Considerationes super problemate astronomico in tomo commentarior. veter. IV. Pertractato.
496
De figura apparente annuli Saturni pro eius loco quocunque respectu terrae.
497
De apparitione et disaparitione annuli Saturni.
498
Extrait d'un lettre de M. Euler a M. Beguelin en mai 1778
499
De integratione formulae ∫ (dx lx)/√(1-xx) ab x = 0 ad x = 1 extensa
500
De valore formulae integralis ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) a termino x = 0 usque ad x = 1 extensae
501
Considerationes circa brachystochronas
502
Sur l'effet de la refraction dans les observations terrestres
503
De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit
504
De Theoria Lunae ad maiorem perfectionis gradum evehenda
505
De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur
506
Dilucidationes super methodo elegantissima, qua illustris de la Grange usus est in integranda aequatione differentiali dx/√X = dy/√Y
507
De infinities infinitis gradibus tam infinite magnorum quam infinite parvorum
508
Determinatio onerum, quae columnae gestare valent
509
Examen insignis paradoxi in theoria columnarum occurentis
510
De altitudine columnarum sub proprio pondere corruentium
511
Reflexions sur les inegalites dans le mouvement de la Terre causees par l'action de Venus; avec un Table des corrections du Lieu de la Terre
512
Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum
513
De curvis triangularibus
514
De mensura angulorum solidorum
515
De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur
516
De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum
517
De problemate quodam mechanico, satis obvio, at solutu difficillimo
518
Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur
519
Nova methodus motum planetarum determinandi
520
Essai d'une theorie de la resistance qu'eprouve la proue d'un vaisseau dans son mouvement
521
Theoremes analytiques. Extraits de differents lettres de M. Euler a M. le Marquis de Condorcet
522
De formatione fractionum continuarum
523
De tribus numeris quadratis, quorum tam summa quam summa productorum ex binis sit quadratum
524
Trigonometria sphaerica universa, ex primis principiis breviter et dilucide derivata
525
De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum
526
Investigatio motuum, quibus laminae et virgae elasticae contremiscunt
527
Conjectura circa naturam aeris, pro explicandis phaenomenis in atmosphaera observatis.
528
Annotatio in praecendentem dissertationem.
529
Theoria parallaxeos, ad figuram terrae sphaeroidicam accomodata
530
Recherches sur un nouvelle espece de quarres magiques
531
Opuscula analytica. Tomus primus. Petropoli typis academiae imperialis scientiarum MDCCLXXXIII.
532
De serie Lambertine plurimisque eius insignibus proprietatibus
533
De motu oscillatorio pendulorum ex filo tenso dependentium
534
Dilucidationes super aliquot casus aequilibrii difficiliores
535
Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest
536
De proprietatibus triangulorum mechanicis
537
De figura curvae elasticae contra obiectiones quasdam Illustris d'Alembert
538
Cautiones necessariae in determinatione motus planetarum observandae
539
Supplementum calculi integralis pro integratione formularum irrationalium
540
Nova methodus fractiones quascumque rationales in fractiones simplices resolvendi
541
Evolutio producti infiniti (1-x)(1-xx)(1-x3)(1-x4)(1-x5) etc. in seriem simplicem
542
De mirabilibus proprietatibus numerorum pentagonalium
543
Problematis cuiusdam Pappi Alexandrini constructio
544
De motu libero plurium corporum filis colligatorum super plano horizontali
545
De vi fluminis ad naves sursum trahendas applicanda
546
De statu aequilibrii maris a viribus solis et lunae sollicitati.
547
Determinatio facilis orbitae cometae, cuius transitum per eclipticam bis observare licuit
548
De variis motuum generibus, qui in satellitibus planetarum locum habere possunt.
549
De motibus maxime irregularibus, qui in systemate mundano locum habere possent, una cum methodo hujusmodi motus per temporis spatium quantumvis magnum prosequendi.
550
De seriebus, in quibus producta ex minis terminis contiguis datam constituunt progressionem
551
Varia artificia in serierum indolem inquirendi
552
Observationes circa divisionem quadratorum per numeros primos
553
Observationes analyticae
554
Disquitio accuratior circa residua ex divisione quadratorum altiorumque potestatum per numeros primos relicta
555
De eximio usu methodi interpolationum in serierum doctrina
556
De criteriis aequationis fxx + gyy = hxx, utrum ea resolutionem admittat necne?
557
De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus
558
Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur
559
Nova subsidia pro resolutione formulae axx + 1 = yy
560
Miscellanea analytica
561
Variae observationes circa angulos in progressione geometrica progredientes
562
Quomodo sinus et cosinus angulorum multiplorum per producta exprimi queant
563
De ellipsi minima dato parallelogrammo rectangulo circumscribenda
564
Speculationes circa quasdam insignes proprietates numerorum
565
De plurimis quantitatibus transcendentibus, quas nullo modo per formulas integrales exprimere licet
566
De inductione ad plenam certitudinem evehenda
567
Dilucidationes de motu chordarum inaequaliter crassarum
568
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione
569
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Habita frictionis ratione
570
De inventione longitudinis locorum ex observata lunae distantia a quadam stella fixa cognita.
571
De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis.
572
Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum
573
De duplici genesi tam epicycloidum quam hypocycloidum
574
De curvis rectificabilibus in superficie coni recti ducendis
575
De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt
576
De oscillationibus minimis funis libere suspensi
577
De perturbatione motus chordarum ab earum pondere oriunda
578
De perturbatione motus planetarum et cometarum.
579
Calculs sur les ballons aerostatiques, faits par le feu M. Euler, tels qu'on les a trouves sur son ardoise, apres sa mort arrivee le 7 septembre 1783
580
Opuscula analytica. Tomus secundus. Petropoli typis academiae imperialis scientiarum MDCCLXXXV.
581
Plenior explicatio circa comparationem quantitatum in formula integrali ∫ (Z dz)/√(1+mzz+nz4) contentarum denotante Z functionem quamcunque rationalem ipsius zz
582
Uberior evolutio comparationis, quam inter arcus sectionum conicarum instituere licet
583
De numero memorabili in summatione progressionis harmonicae naturalis occurrente
584
De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis
585
De effectu frictionis in motu volutorio
586
Considerationes super theoremate Fermatiano de resolutione numerorum in numeros polygonales
587
Observation in aliquot theoremata illustrissimi de la Grange
588
Investigatio formulae integralis ∫ (xm-1 dx)/(1+xk)n casu, quo post intagrationem statuitur x = ¥
589
Investigatio valoris integralis ∫ (xm-1 dx)/(1-2xkcosθ+x2k) a termino x = 0 ad x = ¥ extensi
590
Theoremata quaedam analytica, quorum demonstratio adhuc desideratur
591
De relatione inter ternas pluresve quantitates instituenda
592
De resolutione fractionum transcendentium in infinitas fractiones simplices
593
De transformatione serierum in fractiones continuas, ubi simul haec theoria non mediocriter amplificatur
594
Methodus inveniendi formulas integrales, quae certis casibus datam inter se teneant rationem, ubi sumul methodus traditur fractiones continuas summandi
595
Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
596
De summa seriei ex numeris primis formatae 1/3 - 1/5 + 1/7 + 1/11 - 1/13 ... ubi numeri primi formae 4n-1 habent signum positivum, formae autem 4n+1 signum negativum
597
De seriebus potestatum reciprocis methodo nova et facillima summandis
598
De insigni promotione scientiae numerorum
599
Solutio quaestionis ad calculum probabilitatis pertinentis: Quantum duo coniuges persolvere debeant, ut suis haeredibus post utriusque mortem certa argenti summa persolvatur
600
Solutio quarundam quaestionum difficiliorum in calculo probabilium
601
De symptomatibus quatuor punctorum, in eodem plano sitorum
602
Methodus facilis omnia symptomata linearum curvarum non in eodem plano sitarum investigandi
603
De descensu baculi super hypomochlio cylindro fixo delabentis
604
De traiectoriis reciprocis tam rectangulis quam obliquangulis
605
De miris proprietatibus curvae elasticae sub aequatione y = ∫ (xx dx)/√(1-x4)
606
Speculationes super formula integrali ∫ (xndx)/√(aa-2bx+cxx), ubi simul egregiae observationes circa fractiones continuas occurrunt
607
De motu globi circa axem obliquum quemcunque gyrantis et super plano horizontali incedentis
608
Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum
609
Considerationes super traiectoriis tam rectangulis quam obliquangulis
610
Novae demonstrationes circa divisores numerorum formae xx + nyy
611
Investigatio curvarum quae similes sint suis evolutis vel primis vel secundis vel tertiis vel adeo ordinis cuiuscunque
612
De motu globi heterogenei super plano horizontali, una cum dilucidationibus necessariis super motu vacillatorio
613
Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus
614
Commentatio de curvis tractoriis
615
De curvis tractoriis compositis
616
De transformatione seriei divergentis 1 - mx + m(m+n)x2 - m(m+n)(m+2n)x3 + etc. in fractionem continuam
617
De summatione serierum, in quibus terminorum signa alternantur
618
Consideratio motus singularis, qui in filo perfecte flexili locum habere potest
619
Enodatio difficultatis super figura terrae a vi centrifuga oriunda.
620
Methodus facilis inveniendi integrali huius formulae ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) casu quo post integrationem ponitur vel x = 1 vel x = ¥
621
De summo usu calculi imaginariorum in analysi
622
Specimen singulare analyseos infinitorum indeterminatae
623
De lineis rectificabilibus in superficie sphaeroidica quacunque geometrice ducendis
624
De superficie coni scaleni, ubi imprimis intentes difficultates, quae in hac investigatione occurrunt, perpenduntur
625
De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
626
De motu trium corporum se mutuo attrahentium super eadem linea recta.
627
Solutio problematis mechanici
628
Eclaircissemens sur le memoire de Mr de La Grange insere dans le V volume des Melanges de Turin, concernant la methode de prendre le milieu entre les resultats de plusiers observations etc.
629
Evolutio formulae integralis ∫ dx(1/(1-x) + 1/(lx)) a termino x = 0 ad x = 1 extensae
630
Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi
631
Analysis facilis et plana ad eas series maxime abstrusas perducens, quibus omnium aequationum algebraicarum non solum radices ipsae sed etiam quaevis earum potestates exprimi possunt
632
De innumeris generibus serierum maxime memorabilium, quibus omnium aequationum algebraicarum non solum radices ipsae sed etiam quaecumque earum potestates exprimi possunt
633
De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales
634
De motu oscillatorio tabulae suspensae et a vento agitatae
635
Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur
636
De multiplicatione angulorum per factores expedienda
637
Nova demonstratio, quod evolutio potestatum binomii Newtoniana etiam pro exponentibus fractis valeat
638
De innumeris curvis algebraicis, quarum longitudinem per arcus parabolicos metiri licet
639
De innumeris curvis algebraicis, quarum longitudinem per arcus ellipticos metiri licet
640
Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae
641
De motu quodam maxime memorabili, satis quidem simplici, at solutu difficillimo
642
De singulari ratione differentiandi et intagrandi, quae in summis serierum occurrit
643
Methodus generalis investigandi radices omnium aequationum per approximationem
644
Innumerae aequationum formae ex omnibus ordinibus, quarum resolutio exhiberi potest
645
De curvis algebraicis, quarum longitudo exprimitur hac formula integrali ∫ (vm-1 dv)/√(1-v2n)
646
De duabus pluribusve curvis algebraicis in quibus si a terminis fixis aequales arcus abscindantur eorum amplitudines datam inter se teneant rationem
647
De methodo tangentium inversa ad theoriam solidorum translata
648
Solutio facilis problematis, quo quaeritur circulus, qui datos tres circulos tangat
649
De motu oscillatorio penduli circa axem cylindricum plano horizontali incumbentem
650
De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles
651
Quatuor theoremata maxime notatu digna in calculo integrali
652
De termino generali serierum hypergeometricarum
653
De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur
654
Methodus facilis investigandi radium osculi ex principio maximorum et minimorum petita
655
Observationes generales circa series, quarum termini secundum sinus vel cosinus angulorum multiplorum progrediuntur
656
De integrationibus maxime memorabilibus ex calculo imaginariorum oriundis
657
Supplementum ad dissertationem praecedentem circa integrationem vormulae ∫ (zm-1 dz)/(1-zn) casu quo ponitur z = v(cos(φ) + √(-1) sin(φ))
658
De momentis virium respectu axis cuiuscunque inveniendis; ubi plura insignia symptomata circa binas rectas, non in eodem plano sitas, explicantur
659
Methodus facilis omnium virium momenta respectu axis cuiuscunque determinandi
660
Institutionum calculi integralis volumen quartum, continens supplementa partim inedita partim jam in operibus academiae imperialis scientiarum Petropolitanae impressa.
661
Variae considerationes circa series hypergeometricas
662
De vero valore formulae integralis ∫ dx(l(1/x))n a termino x = 0 usque ad terminum x = 1 extensae
663
Plenior expositio serierum illarum memoragilium, quae ex unciis potestatum binomii formantur
664
Exercitatio analytica
665
Evolutio problematis cuius solutio analytica est difficillima dum synthetica per se est obvia
666
Problema geometricum ob singularia symptomata imprimis memorabile
667
De curvis hyperbolicis quae intra suas assymtotas spatium finitum includunt
668
De integratione formulae (dx √(1+x4))/(1-x4) aliarumque eiusdem generis per logarithmos et arcus circulares
669
Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet
670
De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur
671
De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet
672
Theorema maxime memoragile circa formulam integralem ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1
673
Disquitio coniecturalis super formula integrali ∫ (dφcos(iφ))/(α+βcos(φ))n
674
Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1
675
De valoribus integralium a termino variabilis x = 0 usque ad x = ¥ extensorum
676
Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi
677
Methodus singularis resolvendi aequationes differentiales secundi gradus
678
Methodus nova investigandi omnes casus quibus hance aequationem differentialem ddy(1-axx) - bx dx dy - cy dx2 = 0 resolvere licet
679
De formulis integralibus implicatis earumque evolutione et transformatione
680
De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
681
Specimen aequationum differentialium indefiniti gradus earumque integrationis
682
Von dem Drucke eines mit einem Gewuchte beschwerten Tisches auf einer Flache. Aus den Papieren des sel. Leonhard Euler gozogen von Jakob Bernoulli
683
De singulari genere quaestionum Diophantearum et methodo maxime recondita eas resolvendi
684
De radicibus aequationis infinitae 0 = 1 - (xx)/(n(n+1)) + (x4)/(n(n+1)(n+2)(n+3)) - (x6)/(n.....(n+5)) + etc.
685
Exercitatio analytica, ubi imprimis seriei maxime generalis summatio traditur
686
Dilucidationes super formulis, quibus sinus et cosinus angulorum multiplorum exprimi solent, ubi simul ingentes difficultates diluuntur
687
De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium
688
Specimen integrationis abstrusissimae hac formula ∫ dx/((1+x)*4√(2xx-1)) contentae
689
Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet
690
Evolutio formulae integralis ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) per logarithmos et arcus circulares
691
Problema geometricum quo inter omnes ellipses quae per data quatuor puncta traduci possunt ea quaeritur quae habet aream minimam
692
Solutio problematis maxime curiosi quo inter omnes ellipses quae circa datum triangulum circumscribi possunt ea quaeritur cuius area sit omnium minima
693
De centro simulitudinis
694
Ulterior disquisitio de formulis integralibus imaginariis
695
Integratio succincta formulae integralis maxime memorabilis ∫ dz/((3±zz)*3√(1±3zz))
696
De casibus quibus hanc formulam x4 + kxxyy + y4 ad quadratum reducere licet
697
Investigatio superficierum quarum normales ad datum planum productae sint omnes inter se aequales
698
Variae speculationes super area triangulorum sphaericorum
699
Utrum hic numerus 100009 sit primus necne inquiritur
700
De formulis differentialibus secundi gradus quae integrationem admittunt
701
Formae generales differentialium, quae, etsi nulla substitutione rationales reddi possunt. tamen integrationem per logarithmos et arcus circulares admittunt
702
De novo genere quaestionum arithmeticarum pro quibus solvendis certa methodus adhuc desideratur
703
Methodus facilis inveniendi series per sinus cosinusve angulorum multiplorum procedentes, quarum usus in universa theoria astronomiae est amplissimus
704
Disquisitio ulterior super seriebus secundum multipla cuiusdam anguli progredientibus
705
Investigatio quarundam serierum, quae ad rationem peripheriae circuli ad diametrum vero proxime definiendam maxime sunt accommodatae
706
De novo genere serierum rationalium et valde convergentium, quibus ratio peripheriae ad diametrum exprimi potest
707
De insigni usu calculi imaginariorum in calculo integrali
708
De formulis speciei mxx + nyy ad numeros primos explorandos idoneis earumque mirabilibus proprietatibus
709
De evolutione potestatis polynomialis cuiuscunque (1 + x + x2 + x3 + x4 + etc.)n
710
Specimen transformationis singularis serierum
711
Methodus nova ac facilis omnium aequationum algebraicarum radices non solum ipsas sed etiam quascumque earum potestates per series concinnas exprimendi
712
De corporibus cylindricis incurvatis
713
Investigatio trianguli in quo distantiae angulorum ab eius centro gravitatis rationaliter exprimantur
714
Exempla quarundam memorabilium aequationum differentialium, quas adeo algebraice integrare licet, etiamsi nulla via pateat variabiles a se invicem separandi
715
De variis modis numeros praegrandes examinandi, utrum sint primi necne?
716
Resolutio formulae Diophanteae ab(maa+nbb) = cd(mcc+ndd) per numeros rationales
717
Solutio problematis mechanici
718
Facillima methodus plurimos numeros primos praemagnos inveniendi
719
Methodus generalior numeros quosvis satis grandes perscrutandi utrum sint primi necne?
720
Observatio singularis circa aequationes differentiales lineares
721
De integrationibus difficillimis, quarum integralia tamen aliunde exhiberi possunt
722
Disquitiones analyticae super evolutione potestatis trinomialis (1+x+xx)n
723
Brief von Euler
724
Recherches sur quelques integrations remarquables dans l'analyse des fonctions a deux variables connues sous le nom de differences partielles
725
Illustratio paradoxi circa progressionem numerorum idoneorum sive congruorum
726
Demonstratio insignis theorematis numerici circa uncias potestatum binomialium
727
Accuratior evolutio problematis de linea brevissima in superficie quacunque ducenda
728
De resolutione fractionum compositarum in simpliciores
729
Dilucidationes super Problemate geometrico de quadrisectione trianguli a Iacobo Bernoulli olum tractato
730
Solutio completa problematis de quadrisectione trianguli per duas rectas inter se normales
731
Solutio problematis ob singularia calculi artivicia memorabilis
732
Solutio facilior problematis Diophantei circa triangulum, in quo rectae ex angulis latera opposita bisecantes rationaliter exprimantur
733
Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat
734
Integratio aequationis differentialis huius dy + yydx = (A dx)/(a+2bx+cxx)2
735
De insigni paradoxo, quod in analysi maximorum et minimorum occurrit
736
De summatione serierum in hac forma contentarum a/1 + a2/4 + a3/9 + a4/16 + a5/25 + a6/36 + etc.
737
De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur
738
Solutio quaestionis curiosae ex doctrina combinationum
739
Regula facilis problemata Diophantea per numeros integros expedite resolvendi
740
De lineis curvis non in eodem plano sitis, quae maximi minimive proprietate sunt praeditae
741
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
742
Observationes circa fractiones continuas in hac forma contentas S = n/(1+(n+1)/(2+(n+2)/(3+(n+3)/(4+etc.))))
743
De serie maxime memorabili, qua potestas binomialis quaecunque exprimi potest
744
De divisoribus numerorum in forma mxx + nyy contentorum
745
De fractionibus continuis Wallisii
746
Methodus succincta summas serierum infinitarum per formulas differentiales investigandi
747
De seriebus memorabilibus, quibus sinus et cosinus angulorum multiplorum exprimere licet
748
Investigatio quadrilateri, in quo singularum angulorum sinus datam inter se teneant rationem, ubi artificia prorsus singularia in Analysi Diophantea occurrunt
749
Geometrica et sphaerica quaedam
750
Commentatio in fractionem continuam, qua illustris La Grange potestates binomiales expressit
751
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
752
De integralibus quibusdam inventu difficillimis
753
Solution succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata
754
Probleme de geometrie resolu par l'analyse de Diophante
755
De casibus, quibus formulam x4 + mxxyy + y4 ad quadratum reducere licet
756
Solutio problematis mechanici non parum curiosi
757
De problemate traiectoriarum orthogonalium ad superficies translato
758
De binis formulis speciei xx + myy et xx + nyy inter se concordibus et discordibus
759
Investigatio accuratior circa brachystochronas
760
De vera brachystochrona seu linea celerrimi descensus in medio resistente
761
De brachystochrona in medio resistente, dum corpus ad centrum virium utunque attrahitur
762
Lettera inedita di Eulero a Lagrange
763
De tribus pluribusve numeris inveniendis, quorum summa sit quadratum, quadratorum vero summa biquadratum
764
Resolutio facilis quaestionis difficillimae, qua haec formula maxime generalis vvzz(axx+byy)2 + Δxxyy(avv+bzz)2 ad quadratum reduci postulatur
765
De problemate curvarum synchronarum, eiusque imprimis inverso
766
Methodus nova et generalis problema synchronarum inversum aliaque eiusdem generis resolvendi
767
De curvis quarum radii osculi tenent rationem duplicatam distantiae a puncto fixo earumque mirabilibus proprietatibus
768
De unciis potestatum binomii earumque interpolatione
769
Solutio problematis Fermatiani de duobus numeris, quorum summa sit quadratum, quadratorum vero summa biquadratum, ad mentem illustris La Grange adornata
770
Enodatio maximi paradoxi, in problemate quodam mechanico occurentis
771
Solutio trium problematum difficiliorum ad methodum tangentium inversam pertinentium
772
De insigni promotione Analysis Diophantaeae
773
Solutio problematis difficillimi, quo hae duae formulae aaxx + bbyy et aayy + bbxx quadrata reddi debent
774
Investigatio binorum numerorum formae xy(x4-y4), quorum productum sive quotus sit quadratum
775
De binis numeris, quorum summa sive aucta sive minuta tam unius quam alterius quadrato producat quadrata
776
Dilucidationes circa binas summas duorum biquadratorum inter se aequales
777
De resolutione huius aequationis 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy per numeros rationales
778
Methodus nova et facilis formulas cubicas et biquadriticas ad quadratum reducendi
779
Solutio problematis ad analysin infinitorum indeterminatorum referendi
780
De infinitis curvis algebraicis, quarum longitudo indefinita arcui elliptico aequatur
781
De infinitis curvis algebraicis, quarum longitudo arcui parabolico aequatur
782
De binis curvis algebraicis eadem rectificatione gaudentibus
783
De curvis algebraicis, quarum omnes arcus per arcus circulares metiri liceat
784
Solutio problematis analytici difficillimi
785
Integration d'une espece remarqable d'equation differentielle dans l'analyse des fonctions a deux variables
786
Oeuvres completes en francais de L. Euler
787
Solutio problematis in Actis Lipsiensibus A. 1745 propositi
788
Briefe von L. Euler an Chr. Goldbach 1729-1763
789
Einige Zeilen aus einem Brief von L. Euler an Albrecht von Haller vom 4 Juli 1744.
790
Commentatio de matheseos sublimioris utilitate
791
Commentationes arithmeticae collectae
792
Tractatus de numerorum doctrina capita sedecim, quae supersunt
793
Considerationes circa Analysin Diophanteam
794
Theorema arithmeticum eiusque demonstratio
795
De quadratis magicis
796
Recherches sur le problem de trois nombres carres tels que la somme de deux quelconques moins le troisieme fasse un nombre carre
797
Recherches ulterieures et tres curieuses sur le probleme de quatre nombres positifs et en proportion arithmetique tels que la somme de deux quelconques soit toujours un nombre carre
798
De numeris amicabilibus
799
Fragmenta commentationis cuiusdam maioris, de invenienda relatione enter latera triangulorum, quorum area rationaliter exprimi possit, et de triangulo in quo rectae ex singulis angulis latera opposita bisecantes sint rationales
800
Brief von L. Euler an Christoph Jezler vom 4 Mai 1765
801
Drei Briefe von L. Euler an Friedrich den Grossen 1743
802
Einige Zeilen aus Briefen von L. Euler an Johannes Schorndorf vom 27 April 1743 und vom 26 Mai 1750
803
Vierzehn Briefe oder Auszuge aus Briefen von L. Euler an W.J.G. Karsten 1758-1765
804
Zwei Briefe von L. Euler an G.B. Bulffinger 1738
805
Opera Postuma mathematica et physica
806
Fragmenta arithmetica ex Adversariis mathematicis depromta
807
Sur les logarithmes des nombres negativs et imaginaires
808
Problema algebraicum de inveniendis quatuor numeris ex datis totidem productis uniuscuiusque horum numerorum in summas trium reliquorum
809
Series maxime idoneae pro circuli quadratura proxime invenienda
810
Enodatio insignis cuiusdam paradoxi circa multiplicationem angulorum observati
811
Vera aestimatio sortis in ludis
812
Reflexions sur une espece singuliere de loterie, nommee Loterie Genoise
813
Analyse d'un probleme du calcul des probabilites
814
Institutionum calculi differentialis sectio III
815
Problematis ex theoria maximorum et minimorum solutio
816
Considerations sur quelques formules integrales dont les valeurs peuvent etre exprimees, en certains cas, par la quadrature du cercle
817
De lineis curvis, quarum rectificatio per datam quadraturam mensuratur
818
De comparatione arcuum curvarum irrectificabilium
819
Continuatio fragmentorum ex Adversariis mathematicis depromptorum
820
Sex litterae ad Nicolaum Bernoullium II (!), Basileensem, J.U.D. datae 1742 ad 1745
821
Duae litterae ad Fredericum II, Regem Borussorum, datae annis 1749 et 1763
822
Octodecim litterae ad cel. Lagrange datae annis 1755 ad 1775
823
Statica
824
Vera vires existimandi ratio
825
De motu corporum circa punctum fixum mobilium
826
De motu corporum super superficiebus mobilibus
827
De motu corporum in tubo rectilineo mobili circa axem fixum, per ipsum tubum transeuntem
828
Dissertation sur le mouvement des corps enfermes dans un tube droit, mobile autour d'un axe fixe
829
De motu corporum in tubis circa punctum fixum mobilibus
830
Recensio litterarum a Cl. D. Bernoullio basilea die 26. Oct. 1735 ad me datarum, una cum annotationibus meis
831
De oscillationibus annulorum elasticorum
832
Von der Kraft der Rammen, Pfahle einzuschlagen
833
Determination de l'effet d'un machine hydraulique inventee par M. Segner, professeur a Goettingue
834
Astronomia mechanica adjecta Digressione de cometa A. 1757
835
Solutio duorum problematum, Astronomiam mechanicam spectantium
836
Nouvelles Tables astronomiques pour calculer la place du soleil
837
De emendatione tabularum lunarium per observationes eclipsium lunae
838
Tria capita ex opere quodam majori inedito de theoria lunae
839
De atmosphaera lunae ex eclipsi colis annulari evicta
840
De motu cometarum in orbitis parabolicis, solem in foco habentibus
841
Recherche des inegalites causees au mouvement des planetes par des forces quelconques
842
Anleitung zur Naturlehre
843
Constructio manometri densitatem aeris quovis tempore accurate monstrantis
844
Theorie generale de la dioptrique
845
Sept chapitres d'un ouvrage de dioptrique
846
Recherche pour servir a la perfection des lunettes
847
De amplificatione campi apparentis in telescopiis
848
De la construction des microscopes
849
Reflexions sur la determination de la Declinaison de la Boussole
850
Recherches sur la decouverte des courants de la mer
851
Recensio Dissertationis de ventis
852
Meditatio de formatione vocum
853
Meditatio in experimenta explosione tormentorum nuper instituta
854
Differentes pieces sur les monades
855
Principia pro motu sanguinis per arterias determinando
856
Fragmentum ex adversariis mathematicis depromtum
857
Trois lettres inédites de Jean Ier Bernoulli à Léonard Euler
858
Lettres inédites d'Euler a d'Alembert
859
Several lines of a letter from Euler to Johann Bernoulli I from August 27, 1737
860
Fourteen letters from Euler to P. L. M. de Maupertuis, 1752-1759
861
Extracts of letters from Euler to Johann Bernoulli I, 1739-1740
862
Extracts of letters from Euler to Johann Bernoulli I, 1728-1729
863
Der Briefwechsel zwischen Leonhard Euler und Johann I Bernoulli, 1727-1740
864
Der Briefwechsel zwischen Leonhard Euler und Daniel Bernoulli
865
Several lines of a letter from Euler to the "Royal Society" dated October 21/November 1, 1768
866
Ein Brief Eulers an d'Alembert
English Titles
1
Construction of isochronous curves in a resistant medium
2
Physical dissertation on sound
3
On a method for algebraic reciprocal trajectories
4
Thoughts on a nautical problem, proposed by the illustrious Royal Academy of Sciences in Paris
5
Solution to the problem of reciprocal trajectories
6
Dissertation on a number of new types of tautochrone curves
7
Attempt at explanation of the phenomena of air
8
Solution to the problem of finding curves which is formed by an elastic strip when a force is applied to a single point
9
On the shortest line joining two points on a surface
10
A new method of reducing innumerable differential equations of the second degree to differential equations of the first degree
11
Solution of certain differential equations which do not admit separation of variables
12
On the innumerable tautochrone curves in a vacuum
13
Tautochrone curves in a fluid making a second resistance proportional to the square of the speed
14
Solution to problems of astronomy: given the altitudes and time differences for three fixed stars, to find the elevation of the pole and the declination of the star
15
Mechanics, volume 1
16
Mechanics, volume 2
17
The Art of Reckoning
18
On the Indian solar year
19
On transcendental progressions, that is, those whose general terms cannot be given algebraically
20
The summation of an innumerable progression
21
For some given curve, it is required to find another curve joined in a certain way with that given, which is suitable for producing a tautochrone curve
22
On the communication of motion in collisions
23
On rectifiable algebraic curves
24
Solution of a remarkable case concerning tautochronism
25
A general method for summing series
26
Observations on a theory of Fermat and others on looking at prime numbers
27
On isoperimetric problems in the widest sense
28
Example of the construction of equations
29
On the solution of a problem of Diophantus
30
Inferences on the forms of roots of equations and of their orders
31
Solution to differential equations of the form axn dx = dy + y2 dx
32
On the shape of the earth
33
An attempt at a new theory of music, exposed in all clearness, according to the most well-founded principles of harmony
34
Dissertation on fire
35
Introduction to the Art of Reckoning, for use in the Gymnasiums of the Imperial Academy of Sciences in St. Petersburg
36
Solution of problems of arithmetic of finding numbers which, when divided by given numbers, leave given remainders
37
On the motion of planets and orbits
38
Determination of orbits around the sun
39
Solution to a problem concerning astronomy
40
On the smallest oscillations of rigid and flexible bodies. A new and easy method.
41
On the sums of series of reciprocals
42
On the curve of fastest descent in whatever resistent medium
43
On harmonic progressions
44
On infinite(ly many) curves of the same type, that is, a method of finding equations for infinite(ly many) curves of the same type
45
Addendum to the dissertation on infinite(ly many) curves of the same type
46
Universal methods of series
47
Finding the sum of any series from a given general term
48
Investigation of pairs of curves whose arcs that correspond to the same abscissa constitute an algebraic sum
49
On the oscillations of a flexible wire weighted with arbitrarily many little weights (?)
50
A method for computing the equation of a meridian
51
On the construction of equations using dragged motion, and of other things pertinent to the inverse method of tangents
52
Solution of a problem requiring the rectification of an ellipse
53
The solution of a problem relating to the geometry of position
54
A proof of certain theorems regarding prime numbers
55
Universal method for summation of series, further developed
56
New and easy method of finding curves enjoying a maximal or minimal property
57
A physical inquiry into the cause of the ebb and flow of the sea
58
Determination of the motion of a comet which can be observed in March of this year, 1742
59
Theorems concerning the reduction of integral formulas to the quadrature of the circle
60
On the resolution of an integral, if after integration the value for the determined variable quantity is assigned
61
On sums of series of reciprocals from powers of natural numbers from another discussion, in which the sums are derived principally from another source
62
On the integration of differential equations of various degrees
63
Demonstration of the sum of the series 1 + 1/4 + 1/9 + 1/16 …
64
Leonhardus Eulerus mathematicus acutissimus ad auctorem
65
A method for finding curved lines enjoying properties of maximum or minimum, or solution of isoperimetric problems in the broadest accepted sense
66
Theory of the motions of planets and comets
67
Answers to various questions about the condition, motion, and effects of comets
68
Further answers to various questions about the condition, motion, and effects of comets
69
On the imparting of motion from a collision of bodies not striking each other directly
70
On the construction of equations
71
A dissertation on continued fractions
72
Various observations about infinite series
73
The solution to a geometric problem about circles shaped as moons
74
On various methods for expressing the quadrature of a circle with verging numbers
75
Solution of a problem proposed in the Nova Acta Eruditorum in November, 1743
76
New and correct tables for computing the location of the moon
77
New Principles of Gunnery
78
Essay on a better construction of a capstan
79
A problem of geometry proposed publicly by an anonymous geometer
80
Opuscula varii argumenti
81
Thoughts on the elements of bodies
82
Percussion and its true measurement
83
On several properties of the conic sections which intersect with an infinity of other curved lines
84
Observation by Leonhard Euler on sections 83 and following of the preceding book, concerning elastic curves
85
Solution to a catoptric problem proposed in this journal in September 1745 on page 523
86
On the movement of bodies on movable surfaces
87
Astronomical table of the sun and the moon
88
A new theory of light and colors
89
On the running down of the motion of the planets
90
Analysis of the question whether the faculty of thinking can be attributed to matter or not
91
Physical investigations on the nature of the smallest parts of matter
92
Defense of divine revelations against the objections of the freethinkers
93
An inquiry into balances
94
On the movement of a boat with oars propelled through running waters
95
On differential equations which admit integration only in certain cases
96
On the most profitable application of simple as well as composite machines
97
On the attraction of spherico-elliptical bodies
98
The proofs of some arithmetic theorems
99
The solution to a certain problem proposed by the celebrated Daniel Bernoulli
100
On Amicable Numbers
101
Introduction to the Analysis of the Infinite, volume 1
102
Introduction to the Analysis of the Infinite, volume 2
103
Physical Investigations on the tail of comets, the northern lights, and the zodiacal light
104
Memoir on the effect of the successive propagation of light in the appearance of the planets as well as the comets
105
Memoir on the Grand Equation of the Planets
106
Solution to the catoptric problem in Novis Actis Eruditorum Lipsiensibus proposed in November 1745
107
Extract of a letter from Mr. Leonhard Euler, Prof. Mathem. and Member of the Imperial Society at Petersburgh, to the Rev. Mr. Cha. Wetstein, Chaplain and Secretary to His Royal Highness the Prince of Wales, concerning the Discoveries of the Russians on the North-East Coast of Asia.
108
A dissertation on an observed tendency of magents
109
Dissertation on Magnets
110
Naval Science, volume 1
111
Naval Science, volume 2
112
Studies on the movement of celestial bodies in general
113
Method for finding the true moments of both the new and the full moon
114
Method of finding the true geocenter of the moon by the obsertvation of the occulation of a fixed star
115
Method of determining the longitude of the observation site by observation of the occulations of fixed stars by the moon
116
Memoir on the force of oars
117
Reflections on the last eclipse of the sun from July 25, 1748
118
On the perfection of objective lenses of telescopes
119
On vibrations of excited chords
120
Investigations on the question of the differences of the movement of Saturn and Jupiter
121
Physical conjectures on the propogation of sound and light with other dissertations: on amicable numbers, on natural equations, and on the rectification of ellipses
122
On products created from infinite factors
123
Observations on continued fractions
124
On the determination of the gradient of heat and cold at each point and time of a region
125
Consideration of a progression suitable for finding the quadrature of a circle
126
On a new type of oscillation
127
An explanation of the phenomena which proceed in turn from the movement of light
128
An easy method for computing the natural and artificial sines and tangents of angles
129
Investigation of curves which produce evolutes similar to themselves
130
Considerations on certain series
131
An emmendation to astronomical tables of locating the geocenters of planets
132
Method of the celebrated Leonhard Euler for determining a degree of the meridian, as well as of a parallel of the earth, based on the measurement undertaken by the celebrated de Maupertuis and his colleagues
133
On the surface of scalene cones and of other conic bodies
134
Theorems on divisors of numbers
135
Various geometric demonstrations
136
On the propagation of pulses in an elastic medium
137
Examination of a design for propelling a ship by an internal principle of motion
138
On the motion of the lunar nodes, and on the variation of their inclination to the ecliptic
139
To what degree the motion of the earth is perturbed by the moon, more accurately investigated
140
On the vibration of strings
141
On the agreement of the latest eclipses of the sun and moon with my tables, to find the true times of full and new moons
142
On the atmosphere of the moon as proved by the last ringed eclipse of the sun
143
On the friction of solid bodies
144
On the reduction of the resistance of friction
145
Research into the largest and the smallest which are found in the action of forces
146
Reflection on some general laws of nature which are observed in the effects of random forces
147
On the apparent contradiction in the rule of curved lines
148
Proof concerning the number on points where two lines of ordinary order can intersect
149
Reflections on space and time
150
Meditations on the question of determining the moment of time by observations
151
A physical conjecture on the propagation of sound and light
152
On amicable numbers
153
A double demonstration of a theorem of Newton, which gives a relation between the coefficient of an algebraic equation and the sums of the powers of its roots
154
Observations on the rectification of ellipses
155
Excerpt from a letter of Herr Euler about the concept of asterisms on the celestial sphere
156
Opusculorum tomus III. continens novam theoriam magnetis ab illustr. academia regia scient: Parisina praemio condecoratam a. 1744.
157
On the extraction of roots from irrational quantities
158
Various analytical observations about combinations
159
On the oscillating motion of flexible bodies
160
On the descent of bodies over an unevenly inclined plane
161
On the movement of bodies over an uneven horizontal plane
162
A method for integrating rational differential forms involving one variable
163
An easier and more expedient method for integrating rational differential forms
164
Theorems about the divisors of numbers contained in the form paa ± qbb
165
On the motion of fluids arising from different degrees of heat
166
On the reduction of curved lines to the arcs of circles
167
On the solution of a most difficult problem proposed by Fermat
168
On the controversy between Messrs Leibniz and Bernoulli concerning the logarithms of negative and imaginary numbers
169
On the cuspidal points of the second kind of Monsieur le Marquis de l'Hopital
170
Research on imaginary roots of equations
171
Research on the precession of the equinoxes and on the nutation of the earth's axis
172
On the parallax of the moon, with respect to its elevation and azimuth, under the hypothesis of a spherical earth
173
New method of finding reciprocal algebraic trajectories
174
On the motion of flexible bodies
175
Discovery of an extraordinary law of numbers in relation to the sum of their divisors
176
Exposé concerning the letter from Leibnitz to Koenig in the March, 1751 issue of the Acts of Leipzig on the occasion of his publication of the Principle of Least Action
177
Discovery of a new principle in Mechanics
178
Reflections of the different degrees of sunlight on other celestial bodies
179
Research concerning the effects of a hydraulic machine proposed by M. Segner, professor at Gottingen
180
Notice on the subject of Research on the precession of the equinoxes
181
Research on the origin of forces
182
Letter of Mr. Euler to M. Merian
183
Part of a Letter from Leonard Euler, Prof. Math. at Berlin, and F.R.S. To the Rev. Mr. Caspar Wetstein, Chaplain to his Royal Highness the Prince of Wales, concerning the gradual Approach of the Earth to the Sun
184
Part of a Letter from Mr. Professor Euler to the Reverend Mr. Wetstein, Chaplain to his Royal Highness the Prince, concerning the Contraction of the Orbits of the Planets
185
(Euler's preface to the work An examination of the Middle Ages, set forth according to astronomical and chronological principles, by Heinrich Wilhelm Clemm, Berlin 1752)
186
Essay on the principle of least action, with an examination of the objections of M. Professor Koenig made against this principle
187
Theory of the motion of the moon which exhibits all its irregularities
188
Method of integrating differential equations of higher degrees, further developed
189
On the determination of series, or a new method for finding the general terms of series
190
Consideration of certain series which are gifted with particular properties
191
On the partitions of numbers
192
Solution of a problem of geometry
193
On the perturbation of the movement of planets from a figure not arising from a sphere
194
On machines in general
195
On the tautochrone motion of pendulums
196
Improvement of the magic lantern and solar microscope
197
Harmony existing between the general principles of rest and movement by M. de Maupertuis
198
On the principle of least action
199
Examination of the dissertation of Professor Koenig inserted into the Acts of Leipzig for the month of March 1751
200
Essay concerning a metaphysical demonstration on the general principle of equilibrium
201
Calculation of the probability in the game of Rencontre
202
On the application of the hydraulic machine of Mr. Segner to all sorts of situations and its advantages over the other hydraulic machines which one typically uses
203
Research on a new method to raise water proposed by M. Mour
204
Extract of a Letter from Professor Euler, of Berlin, to the Rev. Mr. Caspar Wetstein, Chaplain to Her Royal Highness the Princess Dowager of Wales
205
Geographic Atlas - Preface
206
On the motion of water in conduits
207
In depth explanation concerning different methods in which to raise water through pumps with the greatest effectiveness
208
Maxims for the most advantageous arrangement of machines that raise water by use of pumps.
209
Essay concerning the physical explanation of colors which are issued from extremely thin surfaces
210
Letters relating to a Theorem of Mr. Euler, of the Royal Academy of Sciences at Berlin, and F.R.S. for correcting the Aberrations in the Object-Glasses of refracting Telescopes
211
Problema, ad cuius solutionem geometrae invitantur; theorema, ad cuius demonstrationem geometrae invitantur
212
Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 1
213
Remarks on the preceeding memories of M. Bernoulli
214
Principles of spherical trigonometry taken from the method of the maxima and minima
215
Elements of spheroidal trigonometry taken from the method of the maxima and minima
216
Examination of a controversy on the law of refraction of rays of different colors with respect to the different transparent media through which they pass
217
Examination of the true curve that bodies which are airborne or in any other fluid
218
A letter from L. Euler to E. Pontoppidan, dated 11 May 1754
219
Concerning the refraction of light while passing through the atmosphere and the different degrees dependent on heat as to the elaticity of the air
220
Reflections on a problem of geometry dealt with by certain geometers which nevertheless is impossible
221
Research into the physics of the different refrangibilities of light rays
222
A more complete theory of machines which are activated by their reaction to water
223
Concerning the variation of latitude of fixed stars and the obliquity of the ecliptic
224
Notice
225
General principles concerning the state of the equilibrium of fluids
226
General principles concerning the motion of fluids
227
Continuation into the research on the theory of the motion of fluids
228
On numbers which are the sum of two squares
229
On the construction of the best gears
230
Elements of the doctrine of solids
231
Proof of some of the properties of solid bodies enclosed by planes
232
On the movement of celestial bodies perturbed by any number of forces
233
Refined studies into the effect of windmills
234
Experiments to determine the refraction of all types of transparent liquors
235
On the action of saws
236
Explanation of certain paradoxes in integral calculus
237
Research concerning the declination of the magnetized needle
238
Concerning the strength of columns
239
General rules for the construction of telescopes and microscopes, using some general number of lenses.
240
Research into glasses with three lenses which represent inverted objects
241
Proof of a theorem of Fermat that every prime number of the form 4n+1 is the sum of two squares
242
Proof of a theorem of Fermat that every number whether whole or fraction is the sum of four or fewer squares
243
Observations on the sums of divisors
244
A demonstration of a theorem on the order observed in the sums of divisors
245
On a method analogous to that of Diophantus in the analysis of the infinites
246
A contribution to the calculations of sines
247
On divergent series
248
On the screw of Archimedes
249
On finding the best shape for gear teeth
250
A method for finding infinitely many isoperimetric curves predicated with a common property
251
On the integration of the differential equations (m dx)/√(1-x4) = (n dy)/√(1-y4)
252
Observations on the comparison of arcs of irrectifiable curves
253
On indeterminate problems which appear to be quite determinate
254
On the expression of integrals as factors
255
General solution of certain Diophantine problems, which are ordinarily thought to admit only special solutions
256
Example of the use of observation in pure mathematics
257
On friction of rotating bodies
258
Principles of the motion of fluids
259
On the motion and reaction of water flowing through moving tubes
260
Attempt at a theory of the friction of fluids
261
Example of another new methods for comparing transcendental quantities; on the comparison of the arcs of ellipses
262
Theorems about the remainders left by division by powers
263
An example of a new method for the quadrature and rectification of curves and of comparing other quantities which are transcendentally related to each other
264
Proof of a theorem and solution of a theorem proposed in the Acta Eruditorum of Leipzig
265
On differential equations of the second degree
266
A construction of objective lenses from two glasses which produces neither confusion of a spherical figure nor gives rise to the dispersion of colors
267
Extract of a letter of M. Euler written to M. Duhamel, 3 February 1756
268
Letter of Mr. Euler to Mr. de Lagrange
269
On the integration of differential equations
270
The solution of a problem about searching for three numbers, of which the sum and not only their product but the sum of their products two apiece, are square numbers
271
Demonstration of a new method in the Theory of Arithmetic
272
A reinforcement of some arithmetic theorems, supported by several demonstrations
273
Consideration of formulas, of which the integral can be obtained by sections of arcs of cones
274
Construction of the differentio-differential equation Ay du2 + (B+Cu)du dy + (D+Eu+Fuu)ddy = 0, assuming the element du to be constant
275
Annotations to a certain passage of Descartes for finding the quadrature of the circle
276
Clarifications into fluid resistance
277
Principal theory of machines
278
On the motion and grinding of lenses while they are polished upon curved plates
279
On the resolution of formulas of squares of indeterminates by integral numbers
280
On progressions of arcs of circles, of which the accompanying tangents proceed by a certain law
281
A specimen of a singular algorithm
282
On the resolution of equations of any order
283
On very large prime numbers
284
On the resolution of the equation dy + ayy dx = bxm dx
285
Investigation of functions from a given condition of differentials
286
On the vibrating motion of a flexible wire, weighted with however many small particles
287
On the vibrating motion of unevenly thick strings
288
Thoughts on constructing ramparts/walls
289
Theory of the motion of solid or rigid bodies
290
Geometria dalya ipotrevleniya v academycheskoi gymnazii [Russian]
291
Research into the science of mechanical bodies
292
On the movement of rotation of solid bodies around a variable axis
293
General remarks on the daily motion of the planets
294
Remarks by Mr. Euler on several passages which appeared in the third volume of mathematical works by Mr. d'Alembert
295
On the reduction of integral formulas for the rectification of the ellipse and hyperbola
296
The Elements of the Calculus of Variations
297
Explanation of the analytical method in the maxima and minima
298
On the notable advancement of the inverse method of tangents
299
Explanation of the tautochrone in a resistant medium
300
Demonstration of a Bernoullian theorem in which cycloids are ultimately produced from the evolution, continued to infinity, of any right-angled curve
301
De motu corporis ad duo centra virium fixa attracti
302
On the motion of vibrations in drums
303
Tentamen de sono campanarum
304
Considerationes de motu corporum coelestium
305
On the propagartion of sound
306
Supplement to the research on the propagation of sound
307
Continuation into the propagation of sound
308
Recherches sur le mouvement de rotation des corps celestes
309
Solution of a curious question which does not seem to have been subjected to any analysis
310
New method to eliminate the unknown quantities in equations
311
Research into simple microscopes and the methods to perfect them
312
Research on microscopes with three lenses and the methods by which to make them
313
On the advantage to the banker in the game of Pharaon
314
Conjecture into the reasons why flat tones are generally heard in music
315
Concerning the true character of modern music
316
On three lens glasses which represent upright objects
317
Clarifications on the movement of vibrating strings
318
Research into the motion of unequally thick strings
319
Research into the integration of the equation (ddz/dt2)=aa(ddz/dx2)+(b/x)(dz/dx) + (c/xx)z
320
Research into a new type of construction of six lens glasses and their improvement
321
Observations concerning the integrals of formulas ∫ xp-1dx(1-xn)q/n-1 setting x=1 after integration
322
The use of discontinued functions in analysis
323
Concerning the use of a new algorithm to solve the Pell problem
324
Properties of triangles for which certain angles have a ratio between themselves
325
Easy solutions to some difficult geometric problems
326
Analytical observations
327
On the rectilinear motion of three bodies mutually attracted to each other
328
On the motion of a body attracted to two fixed centers of forces
329
On the appearance of the heavens observed through transparent spherical segments
330
Supplement on the shape of the teeth of wheels [gear teeth]
331
On the motion of fluids arising from different degrees of heat
332
Research concerning the flow of rivers
333
Research into the curvature of surfaces
334
General research on the mortality and the propagation of the human race
335
Concerning annuity incomes
336
On the motion of a rotating solid round a mobile axis
337
Problem: A body is attracted by reason of the reciprocal square of the distance towards two given fixed points, find the case where the described curve by this body will be algebraic, solved by Mr. Euler
338
On the probability of series in the Genoese lottery
339
On the motion of a string which at the start has only been struck only in one area
340
Detailed clarifications concerning the generation and propagation of sound and on the formation of echo
341
Report concerning a new method for the propagation of grain
342
Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 2
343
Letters to a German Princess on various topics in physics and philosophy
344
Letters to a German Princess on various topics in physics and philosophy
345
On integrated equations of the type dx/√(A+Bx+Cx2+Dx3+Ex4) = dy/√(A+By+Cy2+Dy3+Ey4)
346
De arcubus curvarum aeque amplis earumque comparatione
347
More general development of formulas serving for the comparison of curves
348
Methodus facilis motus corporum coelestium utcunque perturbatos ad rationem calculi astronomici revocandi
349
Disquisition on the true law of refraction of rays of different colors
350
On a new type of microscope composed of six lenses
351
On a telescope made from four lenses and its perfection
352
Remarks on a beautiful relation between direct as well as reciprocal power series
353
Research into the confusion which exists in dioptic lenses caused by their aperture
354
Research into the methods to diminish or reduce the confusion caused by the opening of the lenses
355
New method to improve the objective lenses for glasses
356
Determination of the apparent field that is discovered by telescopes as well as by microscopes
357
General rules for the construction of telescopes and of microscopes
358
On the perfection of astronomic glasses which represent inverted objects
359
The manufacture of lenses composed of two different types of glass which does not present any confusion
360
The correct way to manufacture composes lenses which will reduce all confusion in the glasses
361
Reflections on the ways in which to examine the refraction of glass by the way of prisms
362
The necessary corrections to the theory of the magnetic declination which was proposed in Volume XIII of the Memoires
363
Notebook concerning a general theory of dioptrics
364
Letter written to the Royal Academy of Sciences in Berlin
365
Extracts from some letters by Euler to d'Alembert
366
Foundations of Differential Calculus, with Applications to Finite Analysis and Series, Volume 3
367
Optics, part 1
368
On a hyperbolic curve expressed by this equation y = 1*2*3*...*x
369
How very large numbers are to be tested for whether they are prime or not
370
A new criteria for acquiring the imaginary roots of equations
371
Considerations on completing the theory of the motion of the moon and especially of its variation
372
Note of certain precautions to be taken in the investigation of the inequalities by which the heavenly bodies are perturbed in their motion
373
More accurate investigation of the phenomena which can be produced in the diurnal motion of the earth by celestial forces
374
On the equilibrium and motion of bodies connected by flexible curves
375
First section on the state of equilibrium of fluids
376
Considerations on the difficulties that one encounters during the manufacture of objective lenses
377
Research into reflective telescopes and their perfection
378
Research on another construction of reflecting telescopes
379
Concerning the confusion which exists in dioptical instruments due to the diverse refrangibility of light rays
380
Concerning the new English glasses of Mr. Dolland and on the principle on which it is based
381
On the advantages of telescopic glasses built with two lenses
382
Remarks on the effect of friction on equilibrium
383
Methods to apply for improving the degree of perfection in the manufacture of telescopic lenses
384
Research on the inequalities of Jupiter and Saturn
385
Foundations of Integral Calculus, volume 3
386
Optics, part 2
387
Complete instruction in algebra, book 1
388
Complete instruction in algebra, book 2
389
Research and calculations on the true elliptical orbit of the comet of the year 1769 and its periodic time
390
(Considerations of orthogonal trajectories)
391
On double integral formulas
392
Development of a notable paradox concerning the equality of surfaces
393
On the sum of series involving the Bernoulli numbers
394
On the partition of numbers into a number of parts of a given type
395
On finding however many mean proportionals without regard to extraction of roots
396
Section two of Principles of Fluid Motion
397
Exposition of methods, not only for determining the parallax of the sun from an observed transit of Venus across the sun, but also for finding longitudes of places on the earth from observations of eclipses of the sun, together with calculations and conclusions deduced therefrom
398
New method to determine the perturbations during the motion of heavenly bodies caused by their mutual attraction
399
Reflections on the different ways that one can describe the movement of the moon
400
Thoughts on the three body problem
401
A new way to compare the observations of the moon with the theory
402
On the movement of the apsides of the moons of Jupiter
403
Herr Leonhard Euler's necessary computation for the establishment of a widows-fund
404
Optics, part 3
405
A solution of a problem about two numbers which are searched for, of which their product, increased or decreased by their sum or difference, will be a square
406
Observations about the roots of equations
407
An algebraic problem that is notable for some quite extraordinary relations
408
On rectifiable curves on spherical surfaces
409
The third chapter on the linear motion of fluids
410
Natural basic principles of the study of the state of equilibrium, and the motion, of bodies that are both perfectly flexible and elastic
411
On the impact of bullets exploded against a plate
412
Solution to a very difficult question in the calculus of probabilities
413
On the movement of ships without the force of the wind
414
An investigation of the perturbations by which the motions of the planets are---on account of their action upon one another---affected
415
Concerning pitching and rolling
416
Reflections on the question: Does the medial motion of the planets remain at constant speed, or does it, in the course of time, undergo some change? And what might be the cause of this?
417
Letters to a German Princess on various topics in physics and philosophy
418
Theory of lunar motion
419
On solids whose (entire) surface can be unfolded onto a plane
420
A new and easy method for treating the calculus of variations
421
Solution of a formula for the integral ∫ x f-1 dx (log x)m/n the integration being extended from the value x = 0 to x = 1
422
The solution of a certain altogether remarkable geometrical problem
423
Considerations on the measurement of circles
424
Section four of the motion of air in tubes
425
On the perturbation of the motion of the Earth due to an action arising from Venus
426
Complete theory of the construction and steering of ships
427
An investigation of a certain Diophantine problem
428
Observations about two biquadratics, of which the sum is able to be resolved into two other biquadratics
429
On various types of integrals
430
Observations on the differential equation y dy + My dx + N dx = 0
431
Consideration of the differential equation (a+bx)ddz + (c+ex)(dxdz/x) + (f+gx)(zdx2/xx) = 0
432
Analytical exercises
433
An aside on trajectories, both orthogonal and oblique-angled
434
On the collision of spinning bodies
435
On the collision of hanging bodies, both oblique and spinning
436
On the true tautochrone in fluids
437
On the tautochrone in a thin medium, where the resistance is directly proportional to the speed
438
Clarifications regarding the tautochrone
439
A further inquiry into vibrating chords
440
Inquiries into the Bernoulli solution, in Volume XVI of the New Commentaries, regarding the motion of strings composed of two parts of differing density
441
On the vibratory motion of strings composed of an arbitrary number of parts of differing density
442
On the vibratory motion of strings possessed of a density that varies arbitrarily
443
On the vibratory motion of elastic laminates, where many new types of vibrations, not treated heretofore, are solved
444
On the most rapid (descending) motion of weights along curves of a specified type
445
Proof that every integer is the sum of four squares
446
Detailed instructions to elevate any glasses to the highest level of perfection to which they are susceptible
447
The summation of the progressions
sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ);
cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ).
448
A new infinite series that expresses the perimeter of an ellipse, and which converges very rapidly
449
Demonstrations about the residues resulting from the division of powers by prime numbers
450
Nova ratio quantitates irrationales proxime exprimendi
451
A solution of the problem of finding a triangle, in which the lines from each angle bisecting the opposite sides are rational
452
The resolution of the equation Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 by rational and integral numbers
453
Eminent properties of series within which the general term is contained as x = (1/2)(a+b/√k)(p+q√k)n + (1/2)(a-b/√k)(p-q√k)n
454
On the resolution of irrationals by continued fractions, where a certain minor new and singular type is set forth
455
A determination, sought from the first principles of mechanics, of the oscillatory motion that was treated in the preceding article
456
On the pressure of a weight on the plane against which it leans
457
De harmoniae veris principiis per speculum musicum repraesentatis
458
A new method of reducing the motions of the principal planets to astronomical tables
459
A disquisition concerning three-fold objective lens, which either create no distortion or which are capable of removing a given distortion arising from the other lens
460
On the application of objective lenses to all types of telescopes
461
Extract of a letter by Mr. Euler to Mr. Bernoulli father concerning the memoire published by them in 1771, p. 318
462
On the value of the integral formula ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz in the case in which after integration it is put z = 1
463
On the value of the integral formula ∫ (zλ-ω ± zλ+ω)/(1 ± z2λ)(dz/z)(lz)μ casu quo post integrationem ponitur z = 1
464
A new method of determining integral qualities
465
A demonstration of a theorem of Newton on the expansion of the powers of a binomial by cases, in which the exponents are not integral numbers
466
A singular Diophantine problem
467
On the table of prime numbers continued up to one million and beyond, in which at once all the non-prime numbers are expressed by their smallest divisors
468
On the minimal oscillations of a pendulum laden with a given weight
469
On the oscillatory movement of two plates suspended from a balance
470
Explicatio motus oscillatorii mirabilis in libra maiore observati
471
De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur
472
Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo
473
Clarifications on the establishing of public which are as helpful to widows as to the deceased, with a description of a new type of Tontine as favorable to the public as it is useful to the state
474
A solution of several Diophantine problems
475
Analytical speculations
476
Observations about a new and singular type of progression
477
Meditations about a singular type of series
478
General formulas for the translation of arbitrary rigid bodies
479
A new method for generating the motion of a rigid body
480
Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli
481
De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu
482
De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …
483
De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli.
484
De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur.
485
Answer to the question proposed by the Paris Academy for 1770
486
Answer to the question proposed by the Paris Academy for 1772
487
Reflections of Mr. L. Euler on new experiments in optics, communicated to the academy of sciences by Mr. Wilson
488
Observations on the foregoing dissertation of Bernoulli
489
On unravelling exponential formulas
490
On the representation of spherical surfaces on a plane
491
On the geographical projections of spherical surfaces
492
On de Lisle's geographic projection and its use
493
Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata
494
On the figure that the wind can induce on a stagnant fluid
495
Considerationes super problemate astronomico in tomo commentarior. veter. IV. pertractato.
496
On the apparent figure of the ring of Saturn, according to the place of it from any perspective on earth
497
On the appearance and disappearance of the rings of Saturn
498
Extract of a letter from Mr. Euler to Mr. Beguelin from May 1778
499
On the integration of the formula ∫ (dx lx)/√(1-xx) from x = 0 to x = 1
500
On the value of the integral formula ∫ ((xa-1 dx)/lx)(1-xb)(1-xe)/(1-xn) bounded at x = 0 and extended to x = 1
501
Considerations about brachistochrones
502
On the effects of refraction during terrestrial observations
503
De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit
504
On the Theory of the Moon which is to be carried to a higher level of perfection
505
De corporibus regularibus per doctrinam sphaericam determinatis; ubi simul nova methodus globos sive coelestes sive terrestres charta obducendi traditur
506
(Elucidations about a most elegant method, which the illustrious la Grange used in the integration of the differential equation dx/√X = dy/√Y
507
On the infinity of infinities of orders of the infinitely large and infinitely small
508
The determination of the loads which columns are strong enough to bear
509
An examination of an outstanding paradox occurring in the theory of columns
510
De altitudine columnarum sub proprio pondere corruentium
511
Thoughts concerning the Earth's motional inequalities caused by Venus' action, accompanied with a table of the corrections of Earth's position
512
Investigatio perturbationum quae in motu terrae ab actione Veneris producunter: cum tabula perturbationum istarum
513
On triangular curves
514
On the measure of solid angles
515
De casibus quibusdam maxime memorabilibus in analysi indeterminata, ubi imprimis insignis usus calculi angulorum in analysi Diophantea ostenditur
516
De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum
517
On a certain problem in mechanics, obvious enough, but with a most difficult solution
518
Solutio gemina problematis, quo motus corporis, filo alicubi alligati, super plano horizontali quaeritur
519
New method to determine the motion of planets
520
Essay of the theory of resistance that a prow of a ship experiences throughout its motion
521
Analytical theories. Extracts of different letters of Mr. Euler to Mr. le Marquis de Condorcet
522
On the formation of continuous fractions
523
On three square numbers, of which the sum and the sum of products two apiece will be a square
524
A universal spherical trigonometry, derived briefly and from first principles
525
De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum
526
Investigatio motuum, quibus laminae et virgae elasticae contremiscunt
527
A conjecture about the nature of air, by which are to be explained the phenomenon which have been observed in the atmosphere
528
An annotation to the preceding dissertation
529
A theory of parallaxes, accommodating the spheroid shape of the Earth
530
Investigations on a new type of magic square
531
Brief analytical works, volume 1
532
On the remarkable properties of a series of Lambert and others
533
On the oscillating motion derived from a tense hanging thread
534
Elucidations about several rather difficult cases of equilibrium
535
Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest
536
On the properties of triangles in mechanics
537
On the figure of elastic curves against the objections of the illustrious d'Alembert
538
Necessary cautions in the determination of the motion of planets which are to be observed
539
A supplement to the calculation of integrals for the calculation of irrational formulas
540
A new method for resolving all rational fractions into simpler fractions
541
The expansion of the infinite product (1-x)(1-xx)(1-x3)(1-x4)(1-x5) etc. into a single series
542
On the remarkable properties of the pentagonal numbers
543
Problematis cuiusdam Pappi Alexandrini constructio
544
De motu libero plurium corporum filis colligatorum super plano horizontali
545
De vi fluminis ad naves sursum trahendas applicanda
546
De statu aequilibrii maris a viribus solis et lunae sollicitati.
547
Simple determination of the orbit of a comet, when it is possible to observe its transit across the ecliptic twice
548
De variis motuum generibus, qui in satellitibus planetarum locum habere possunt.
549
De motibus maxime irregularibus, qui in systemate mundano locum habere possent, una cum methodo hujusmodi motus per temporis spatium quantumvis magnum prosequendi.
550
On series in which the product of two consecutive terms make a given progression
551
Various methods for inquiring into the innate characters of series
552
Observations about the division of squares by prime numbers
553
Analytical observations
554
A more exact disquisition about the residues remaining from the division of squares and of higher powers by prime numbers
555
An examination of the use of interpolating methods in the doctrine of series
556
On the criteria of whether equation fxx + gyy = hxx admits a resolution or not
557
De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus
558
Proposita quacunque protressione ab unitate incipiente, quaeritur quot eius terminos a dminimum addi oporteat, ut omnes numeri producantur
559
New assistance for solving the formula axx + 1 = yy
560
Miscellaneous analyses
561
Various observations about angles proceeding in geometric progression
562
On how sines and cosines of multiplied angles may be expressed by products
563
On the smallest ellipse which is to circumsrcibe a given rectilinear parallelogram
564
Speculations about certain outstanding properties of numbers
565
On highly transcendental quantities, which may not be expressed in any way by integral formulas
566
De inductione ad plenam certitudinem evehenda
567
Dilucidationes de motu chordarum inaequaliter crassarum
568
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione
569
De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Habita frictionis ratione
570
On finding longitude of a place by observing the distance between the moon and a known fixed star
571
De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis.
572
Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum
573
De duplici genesi tam epicycloidum quam hypocycloidum
574
De curvis rectificabilibus in superficie coni recti ducendis
575
De mirabilibus proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrunt
576
De oscillationibus minimis funis libere suspensi
577
De perturbatione motus chordarum ab earum pondere oriunda
578
On the disturbance of motion concerning planets and comets
579
Calculations on aerostatic balloons made by the late Mr. Leonhard Euler, as they were found on his blackboard, after his death on September 7, 1783
580
Brief analytical works, volume 2
581
A more complete investigation into the relationship between those quantities contained in the integral formula ∫ (\Z dz)/√(1+mzz+nz4), where Z denotes a rational function of zz.
582
The fruitful development of a relation which may be established between the arcs of conic sections
583
De numero memorabili in summatione progressionis harmonicae naturalis occurrente
584
De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis
585
De effectu frictionis in motu volutorio
586
Considerations about a theorem of Fermat on the resolution of numbers into polygonal numbers
587
An observation on several theorems of the illustrious de la Grange
588
An investigation of the integral formula ∫ (xm-1 dx)/(1+xk)n in the case in which after integration it is set x = ∞
589
An investigation of the value of the integral ∫ (xm-1 dx)/(1-2xkcosθ+x2k) the term to be extended from x = 0 to x = ∞
590
Certain theorems in analysis, of which a demonstration is thus far desired
591
On the relation between three and more quantities which are to be instituted
592
On the resolution of transcendental fractions into infinitely many simple fractions
593
On the transformation of series into continued fractions, where at once this not mediocre theory is enlarged
594
A method for finding integral formulas, for which in certain cases a given rule holds between them, where at once a method is related for summing continued fractions
595
Summatio fractionis continuae cuius indices progressionem arithmeticam constituunt dum numeratores omnes sunt unitates ubi simul resolutio aequationis Riccatianae per huiusmodi fractiones docetur
596
On the sum of the series of numbers of the form 1/3 - 1/5 + 1/7 + 1/11 - 1/13 ... in which the prime numbers of the form 4n-1 have positive signs, and those of the form 4n+1 have negative signs
597
A new and most easy method for summing series of reciprocals of powers
598
De insigni promotione scientiae numerorum
599
Solution to a question concerning the calculation of probability: How much should be paid by a couple, so that a certain sum of money can be paid to the heir after the death of the other
600
The solution of certain difficult questions in the calculus of probabilities
601
De symptomatibus quatuor punctorum, in eodem plano sitorum
602
Methodus facilis omnia symptomata linearum curvarum non in eodem plano sitarum investigandi
603
De descensu baculi super hypomochlio cylindro fixo delabentis
604
On rectilinear and oblique reciprocal trajectories
605
On the remarkable properties of the elastic curves under the equation y = ∫ (xx dx)/√(1-x4)
606
Speculations concerning the integral formula ∫ (xndx)/√(aa-2bx+cxx), where at once occur exceptional observations about continued fractions
607
De motu globi circa axem obliquum quemcunque gyrantis et super plano horizontali incedentis
608
Accuratior evolutio formularum pro filorum flexibilium aequilibrio et motu inventarum
609
Considerations about rectilinear and oblique trajectories
610
New demonstrations about the divisors of numbers of the form xx + nyy
611
Investigatio curvarum quae similes sint suis evolutis vel primis vel secundis vel tertiis vel adeo ordinis cuiuscunque
612
De motu globi heterogenei super plano horizontali, una cum dilucidationibus necessariis super motu vacillatorio
613
Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus
614
Commentary on tractrix curves
615
De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
616
On the transformation of the divergent series 1 - mx + m(m+n)x2 - m(m+n)(m+2n)x3 + etc. into a continued fraction
617
On the summation of series, in which the signs of the terms alternate
618
Consideratio motus singularis, qui in filo perfecte flexili locum habere potest
619
Enodatio difficultatis super figura terrae a vi centrifuga oriunda.
620
An easy method for finding the integral of the formula ∫ (dx/x)(xn+p - 2xncosζ + xn-p)/(x2n - 2xncosθ + 1) in the case in which after integration it is put from x = 1 to x = ∞
621
On the greatest use of the calculus of imaginaries in analysis
622
Specimen singulare analyseos infinitorum indeterminatae
623
De lineis rectificabilibus in superficie sphaeroidica quacunque geometrice ducendis
624
De superficie coni scaleni, ubi imprimis intentes difficultates, quae in hac investigatione occurrunt, perpenduntur
625
De viribus centripetis, ad curvas non in eodem plano sitas describendas, requisitis
626
On the movement of three bodies mutually attracted above a straight line
627
Solutio problematis mechanici
628
Clarifications on the paper by Mr. de La Grange inserted into volume 5 of the Melanges de Turin, concerning the method of taking the mean of the results of various observations
629
The expansion of the integral formula ∫ dx(1/(1-x) + 1/(lx)) with the term extended from x = 0 to x = 1
630
Uberior explicatio methodi singularis nuper expositae integralia alias maxime abscondita investigandi
631
An easy and clear analysis for guiding those most abstruse series, by which not only the roots but even the powers of the roots of all algebraic equations are able to be expressed
632
On innumerable types of most remarkable series, by which not only the roots but even too any power of the roots of all algebraic equations are able to be expressed
633
De binis curvis algebraicis inveniendis, quarum arcus indefinite inter se sint aequales
634
De motu oscillatorio tabulae suspensae et a vento agitatae
635
Innumera theoremata circa formulas integrales, quorum demonstratio vires analyseos superare videatur
636
On the multiplication of angles which are to be obtained by factors
637
A new demonstration, with respect to which prevails the expansion of binomial powers by Newton even by fractional exponents
638
On innumerable algebraic curves, of which the longitude is able to be measured by parabolic arcs
639
On innumerable algebraic curves, of which the longitude is able to be measured by elliptical arcs
640
Comparatio valorum formulae integralis ∫ (xp-1 dx)/(n√((1-xn)n-q)) a termino x = 0 usque ad x = 1 extensae
641
De motu quodam maxime memorabili, satis quidem simplici, at solutu difficillimo
642
On a singular rule for differentiating and integrating, which occurs in the sums of series
643
A general method for investigating all the roots of an equation by approximation
644
Innumerable forms of equations from all orders, of which a resolution is able to be exhibited
645
On algebraic curves, of which the longitudes are expressed by the integral formula ∫ (vm-1 dv)/√(1-v2n)
646
De duabus pluribusve curvis algebraicis in quibus si a terminis fixis aequales arcus abscindantur eorum amplitudines datam inter se teneant rationem
647
De methodo tangentium inversa ad theoriam solidorum translata
648
An easy solution of a problem, in which a circle is searched for, given three circles tangent to it
649
De motu oscillatorio penduli circa axem cylindricum plano horizontali incumbentem
650
De formulis differentialibus quae per duas pluresve quantitates datas multiplicatae fiant integrabiles
651
Four most noteworthy theorems on the calculation of an integral
652
On the general term of hypergeometric series
653
De iterata integratione formularum integralium, dum aliquis exponens pro variabili assumitur
654
Methodus facilis investigandi radium osculi ex principio maximorum et minimorum petita
655
General observations about series, of which the terms arising for the sines or cosines of multiplied angles come forth
656
On most memorable integrations arising from the calculation of imaginaries
657
A supplement to the preceding dissertation about the integration of the formula ∫ (zm-1 dz)/(1-zn) in the case where z = v(cos(φ) + √(-1) sin(φ))
658
De momentis virium respectu axis cuiuscunque inveniendis; ubi plura insignia symptomata circa binas rectas, non in eodem plano sitas, explicantur
659
Methodus facilis omnium virium momenta respectu axis cuiuscunque determinandi
660
Foundations of Integral Calculus, Volume 4
661
Several considerations about hypergeometric series
662
On the true value of the integral formula ∫ dx(l(1/x))n with the term extended from x = 0 all the way to x = 1
663
Plenior expositio serierum illarum memoragilium, quae ex unciis potestatum binomii formantur
664
Analytical exercises
665
The evolution of a problem whose analytic solution is most difficult, while the synthetic solution for it is obvious
666
Problema geometricum ob singularia symptomata imprimis memorabile
667
De curvis hyperbolicis quae intra suas assymtotas spatium finitum includunt
668
On the integration of the formula (dx √(1+x4))/(1-x4) and of others of the same type by logarithms and circular arcs
669
Memorabile genus formularum differentialium maxime irrationalium quas tamen ad rationalitatem perducere licet
670
De resolutione formulae integralis ∫ (xm-1 dx)(Δ + xn)λ in seriem semper convergentem, ubi simul plura insignia artificia circa serierum summationem explicantur
671
De formulis differentialibus angularibus maxime irrationalibus, quas tamen per logarithmos et arcus circulares integrare licet
672
A memorable theorem about the integral formula ∫ (dφ cos(λφ))/(1+aa-2acos(φ))n+1
673
A conjectural disquisition about the integral formula ∫ (dφcos(iφ))/(α+βcos(φ))n
674
Demonstratio theorematis insignis per coniecturam eruti circa intagrationem formulae ∫ (dφ cos(iφ))/(1+aa-2acos(φ))n+1
675
On the values of integrals where the variable term is extended x = 0 all the way to x = ∞
676
Methodus succinctior comparationes quantitatum transcendentium in forma ∫ (P dz)/√(A + 2Bz + Czz + 2Dz3 + Ez4) contentarum inveniendi
677
Special methods for resolving differential equations of the second degree
678
A new method for investigating all cases in which the differential equation ddy(1-axx) - bx dx dy - cy dx2 = 0 is permitted to resolve
679
De formulis integralibus implicatis earumque evolutione et transformatione
680
De aequationibus differentialibus cuiuscunque gradus quae denuo differentiatae integrari possunt
681
Specimen aequationum differentialium indefiniti gradus earumque integrationis
682
On the pressure of a table weighted by a weight on a surface. From the papers of the blessed Leonhard Euler extracted by Jakob Bernoulli.
683
On a singular type of Diophantine questions and a most recondite method by which they are to be resolved
684
On the roots of the infinite equation 0 = 1 - (xx)/(n(n+1)) + (x4)/(n(n+1)(n+2)(n+3)) - (x6)/(n.....(n+5)) + etc.
685
An analytical exercise, where in particular a most general summation of series is given
686
Elucidations about the formula, in which the sines and cosines of angles are to be multiplied, where at once large difficulties are diluted
687
De insignibus proprietatibus formularum integralium praeter binas variabiles etiam earum differentialia cuiuscunque ordinis involventium
688
A most abstruse specimen of integral contained in the formula ∫ dx/((1+x)*4√(2xx-1))
689
Integratio formulae differentialis maxime irrationalis, quam tamen per logarithmos et arcus circulares expedire licet
690
The expansion of the integral formula ∫ dz(3+zz)/((1+zz)*4√(1+6zz+z4)) by logarithms and circular arcs
691
Problema geometricum quo inter omnes ellipses quae per data quatuor puncta traduci possunt ea quaeritur quae habet aream minimam
692
Solutio problematis maxime curiosi quo inter omnes ellipses quae circa datum triangulum circumscribi possunt ea quaeritur cuius area sit omnium minima
693
On the center of similarity
694
Later paper on formulas of imaginary integrals
695
A succinct integration of the most memorable integral formula ∫ dz/((3±zz)*3√(1±3zz))
696
On the cases in which the form x4 + kxxyy + y4 is permitted to be reduced to a square
697
Investigatio superficierum quarum normales ad datum planum productae sint omnes inter se aequales
698
Several speculations about the area of spherical triangles
699
Inquiring on whether or not the number 100009 is prime
700
On differential equations of the second degree which admit integration
701
Formae generales differentialium, quae, etsi nulla substitutione rationales reddi possunt. tamen integrationem per logarithmos et arcus circulares admittunt
702
De novo genere quaestionum arithmeticarum pro quibus solvendis certa methodus adhuc desideratur
703
An easy method for finding series proceeding by the multiplication of the sines and cosines of angles, of which the use in the universal theory of astronomy is very great
704
Disquisitio ulterior super seriebus secundum multipla cuiusdam anguli progredientibus
705
Investigatio quarundam serierum, quae ad rationem peripheriae circuli ad diametrum vero proxime definiendam maxime sunt accommodatae
706
On a new type of rational and highly convergent series, by which the ratio of the periphery to the diameter is able to be expressed
707
On the outstanding use of the calculation of imaginations in the calculation of an integral
708
On forms of the type mxx + nyy for exploring prime numbers by idoneals of them with remarkable properties
709
On the expansion of the power of any polynomial 1 + x + x2 + x3 + x4 + etc.
710
Example of the transformation of singular series
711
A new and easy method for expressing for all algebraic equations not only their roots but also the powers of them by constructing series
712
De corporibus cylindricis incurvatis
713
An investigation of a triangle in which the distances of the angles from the center of gravity of it may be expressed rationally
714
Exempla quarundam memorabilium aequationum differentialium, quas adeo algebraice integrare licet, etiamsi nulla via pateat variabiles a se invicem separandi
715
On various ways of examining very large numbers, for whether or not they are primes
716
The resolution of the Diophantine formula ab(maa+nbb) = cd(mcc+ndd) by rational numbers
717
Solution to a problem of mechanics
718
An easy method of finding several rather large prime numbers
719
A more general method by which all adequately large numbers may be scrutinized for whether or not they are prime
720
Special observations about linear differential equations
721
De integrationibus difficillimis, quarum integralia tamen aliunde exhiberi possunt
722
Analytical disquisitions on the expansion of the trinomial power (1+x+xx)n
723
A letter by Euler
724
Research concerning some remarkable integrations in functional analysis with two variables known under the title of partial differentials
725
An illustration of a paradox about the idoneal, or suitable, numbers
726
A demonstration of a notable theorem of numbers a twelfth part of binomial powers
727
A more accurate treatment of the problem of drawing the shortest line on a surface
728
On the resolution of composite fractions into simpler ones
729
Dilucidationes super Problemate geometrico de quadrisectione trianguli a Iacobo Bernoulli olum tractato
730
Solutio completa problematis de quadrisectione trianguli per duas rectas inter se normales
731
The solution of a memorable problem by a special artifice of calculation
732
An easier solution of a Diophantine problem about triangles, in which those lines from the vertices which bisect the opposite sides may be expressed rationally
733
Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat
734
The integration of the differential equation dy + yydx = (A dx)/(a+2bx+cxx)2
735
On an outstanding paradox, which occurs in the analysis of maximums and minimums
736
On the summation of series contained in the form a/1 + a2/4 + a3/9 + a4/16 + a5/25 + a6/36 + etc.
737
De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur
738
The solution of a curious question in the scene of combinations
739
An easy rule for Diophantine problems which are to be resolved quickly by integral numbers
740
De lineis curvis non in eodem plano sitis, quae maximi minimive proprietate sunt praeditae
741
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
742
Observations about continued fractions contained in the form S = n/(1+(n+1)/(2+(n+2)/(3+(n+3)/(4+etc.))))
743
De serie maxime memorabili, qua potestas binomialis quaecunque exprimi potest
744
On divisors of numbers of the form mxx + nyy
745
On the continued fractions of Wallis
746
A method for gathering the sums of infinite series by investigating differential formulas
747
On remarkable series, by which the sines and cosines of multiplied angles may be expressed
748
Investigatio quadrilateri, in quo singularum angulorum sinus datam inter se teneant rationem, ubi artificia prorsus singularia in Analysi Diophantea occurrunt
749
About geometry and spheres
750
A commentary on the continued fraction by which the illustrious La Grange has expressed the binomial powers
751
Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi
752
De integralibus quibusdam inventu difficillimis
753
Solution succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata
754
On a problem of geometry resolved by Diophantine analysis
755
On cases for which the formula x4 + mxxyy + y4 can be reduced to a square
756
Solution to some curious problems of mechanics
757
On the problem of orthogonal trajectories, translated to surfaces
758
De binis formulis speciei xx + myy et xx + nyy inter se concordibus et discordibus
759
A more accurate investigation into brachistochrones
760
De vera brachystochrona seu linea celerrimi descensus in medio resistente
761
De brachystochrona in medio resistente, dum corpus ad centrum virium utunque attrahitur
762
Unpublished letter from Euler to Lagrange
763
On finding three or more numbers, the sum of which is a square, while the sum of the squares is a fourth power
764
An easy resolution to a most difficult question, where this most general form vvzz(axx+byy)2 + Δxxyy(avv+bzz)2 is required to be reduced to a square
765
De problemate curvarum synchronarum, eiusque imprimis inverso
766
Methodus nova et generalis problema synchronarum inversum aliaque eiusdem generis resolvendi
767
De curvis quarum radii osculi tenent rationem duplicatam distantiae a puncto fixo earumque mirabilibus proprietatibus
768
De unciis potestatum binomii earumque interpolatione
769
A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange
770
Enodatio maximi paradoxi, in problemate quodam mechanico occurentis
771
Solutio trium problematum difficiliorum ad methodum tangentium inversam pertinentium
772
On a notable advancement of Diophantine analysis
773
A solution of a most difficult problem, in which the two forms aaxx + bbyy et aayy + bbxx must be rendered into squares
774
An investigation of two numbers of the form xy(x4-y4), of which the product and the quotient will be a square
775
On two numbers, of which the sum when increased or decreased by the square of one of them produces a square
776
Elucidations about two sums of pairs of biquadratics, which are mutually equal
777
On the resolution of the equation 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy by rational numbers
778
A new and easy method for reducing cubic and biquadratic forms to squares
779
Solutio problematis ad analysin infinitorum indeterminatorum referendi
780
De infinitis curvis algebraicis, quarum longitudo indefinita arcui elliptico aequatur
781
De infinitis curvis algebraicis, quarum longitudo arcui parabolico aequatur
782
De binis curvis algebraicis eadem rectificatione gaudentibus
783
On algebraic curves, all of whose arcs may be measured by circular arcs
784
Solution to a very difficult analytical problem
785
Integration of a remarkable type of differential equation in analytical functions with two variables
786
The Complete works of L. Euler in French
787
Solution of a problem proposed in the Leipzig Acts in 1745
788
Letters of L. Euler and Chr. Goldbach 1729-1763
789
A few lines from a letter of L. Euler to Albrecht von Haller, from 4 July 1744
790
Commentary on the use of sublime mathematics
791
Collected arithmetical commentaries
792
Tractatus de numerorum doctrina capita sedecim, quae supersunt
793
Thoughts concerning Diophantine analysis
794
A theorem of arithmetic and its proof
795
On magic squares
796
Research into the problem of three square numbers such that the sum of any two less the third one provides a square number
797
Further and curious research into the problem of four positive numbers and an arithmetical proportion such that the sum of any two is always a square number
798
On amicable numbers
799
A fragment of a commentary, the most part on finding the relation between the sides of triangles of which the area is able to be expressed rationally, and of triangles in which the lines from each angle bisecting the opposite line are rationals
800
A letter from L. Euler to Christoph Jezler, dated 4 May 1765
801
Three letters of Euler to Frederick the Great in 1743
802
Einige Zeilen aus Briefen von L. Euler an Johannes Schorndorf vom 27 April 1743 und vom 26 Mai 1750
803
Vierzehn Briefe oder Auszuge aus Briefen von L. Euler an W.J.G. Karsten 1758-1765
804
Two letters of Euler to Bulffinger in 1738
805
Posthumous works in mathematics and physics
806
Arithmetical fragments taken from the mathematical day book
807
On the logarithms of negative and imaginary numbers
808
An algebraic problem of finding four numbers with the sum of the three others
809
Series maxime idoneae pro circuli quadratura proxime invenienda
810
Enodatio insignis cuiusdam paradoxi circa multiplicationem angulorum observati
811
The true valuation of the risk in games
812
Reflections on a singular kind of lottery named the Genoese Lottery
813
Analysis of a problem in the calculus of probabilities
814
Foundations of Differential Calculus, volume 3
815
Solution of problems from the theory of maxima and minima
816
Thoughts on certain integral formulas for which the values can be expressed under certain circumstances by the squaring of the circle
817
On curved lines, the rectification of which is measured by given quadratures
818
On the comparison of irrectifiable curved arcs
819
Continuation of some fragments taken from the Mathematics day book
820
Six letters to Nicholas Bernoulli II of Basel, dated 1742 to 1745
821
Two letters to Frederick II, King of Prussia, sent in the years 1749 and 1763
822
Eighteen letters to Lagrange from 1755 to 1775
823
Statics
824
Vera vires existimandi ratio
825
De motu corporum circa punctum fixum mobilium
826
On the motion of a body on a moving surface
827
De motu corporum in tubo rectilineo mobili circa axem fixum, per ipsum tubum transeuntem
828
Dissertation on the motion of enclosed bodies in a rigid tube mobile around a fixed axis
829
De motu corporum in tubis circa punctum fixum mobilibus
830
Recensio litterarum a Cl. D. Bernoullio basilea die 26. Oct. 1735 ad me datarum, una cum annotationibus meis
831
De oscillationibus annulorum elasticorum
832
Von der Kraft der Rammen, Pfahle einzuschlagen
833
To determine the effect of a hydraulic machine invented by Mr. Segner, a Professor at Gottingen
834
Astronomia mechanica adjecta Digressione de cometa A. 1757
835
Solutio duorum problematum, Astronomiam mechanicam spectantium
836
New astronomical tables for calculating the position of the sun
837
De emendatione tabularum lunarium per observationes eclipsium lunae
838
Tria capita ex opere quodam majori inedito de theoria lunae
839
De atmosphaera lunae ex eclipsi colis annulari evicta
840
De motu cometarum in orbitis parabolicis, solem in foco habentibus
841
Research into the inequalities caused by planetary motion by random forces
842
An Introduction to Natural Science
843
Constructio manometri densitatem aeris quovis tempore accurate monstrantis
844
General theory of dioptrics
845
Seven chapters of a work on dioptrics
846
Research to serve for the perfection of glasses
847
De amplificatione campi apparentis in telescopiis
848
Concerning the construction of microscopes
849
Reflections on the determination of compass readings
850
Research on the discovery of the currents of the sea
851
Recensio Dissertationis de ventis
852
Thoughts on the formation of the voice
853
Meditation on experiments made recently on the firing of a cannon
854
Several pieces about monads
855
Determination of the prinicples of motion of blood through arteries
856
Fragments from the mathematical day book
857
Three unpublished from Euler to Johann Bernoulli I, 1729-1737
858
Unpublished letters from Euler to d'Alembert
859
Several lines of a letter from Euler to Johann Bernoulli I from August 27, 1737
860
Fourteen letters from Euler to P. L. M. de Maupertuis, 1752-1759
861
Extracts of letters from Euler to Johann Bernoulli I, 1739-1740
862
Extracts of letters from Euler to Johann Bernoulli I, 1728-1729
863
The correspondence between Leonhard Euler and Johann I Bernoulli, 1727-1740
864
The correspondence between Leonhard Euler and Daniel Bernoulli
865
Several lines of a letter from Euler to the "Royal Society" dated October 21/November 1, 1768
866
Letter from Euler to J. d'Alembert from February 15, 174
