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Mémoires de l'Académie Impériale des Sciences de St. Pétersbourg

Full Title: Mémoires de l'Académie Impériale des Sciences de St. Pétersbourg, avec l'Histoire de l'Académie (Memoirs of the Imperial Academy of Sciences in St. Petersburg, with the History of the Academy).

The Mémoires was published in four parts: Series 5, 6, 7, and 8, beginning in 1803. Many of Euler's posthumously published works appeared in this journal. Implicitly, the numbering begins with the Commentarii (Series 1) and Novi Commentarii (Series 2) and continues with the Acta (Series 3) and the Nova Acta (Series 4) before flowing into the Mémoires. In the literature, Mémoires typically refers to Series 5, while Series 6, 7, and 8 stated explicitly.

Predecessor Journal: Nova Acta Academiae.

Publications from 1813 1813

E613: Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibus

Publications from 1809 1809

E728: De resolutione fractionum compositarum in simpliciores

E729: Dilucidationes super Problemate geometrico de quadrisectione trianguli a Iacobo Bernoulli olum tractato

E730: Solutio completa problematis de quadrisectione trianguli per duas rectas inter se normales

Publications from 1810 1810

E731: Solutio problematis ob singularia calculi artivicia memorabilis

E732: Solutio facilior problematis Diophantei circa triangulum, in quo rectae ex angulis latera opposita bisecantes rationaliter exprimantur

E733: Solutio facilis problematis, quo quaeritur sphaera, quae datas quatuor sphaeras utcunque dispositas contingat

Publications from 1811 1811

E734: Integratio aequationis differentialis huius dy + yy dx = (A dx)/(a+2bx+cxx)²

E735: De insigni paradoxo, quod in analysi maximorum et minimorum occurrit

E736: De summatione serierum in hac forma contentarum a/1 + a²/4 + a³/9 + a⁴/16 + a⁵/25 + a⁶/36 + etc.

E737: De transformatione functionum duas variabiles involventium dum earum loco aliae binae variabiles introducuntur

E738: Solutio quaestionis curiosae ex doctrina combinationum

Publications from 1813 1813

E739: Regula facilis problemata Diophantea per numeros integros expedite resolvendi

E740: De lineis curvis non in eodem plano sitis, quae maximi minimive proprietate sunt praeditae

Publications from 1818 1818

E741: Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi

Publications from 1813 1813

E742: Observationes circa fractiones continuas in hac forma contentas S = n/(1+(n+1)/(2+(n+2)/(3+(n+3)/(4+etc.))))

E743: De serie maxime memorabili, qua potestas binomialis quaecunque exprimi potest

Publications from 1815 1815

E744: De divisoribus numerorum in forma mxx+nyy contentorum

E745: De fractionibus continuis Wallisii

E746: Methodus succincta summas serierum infinitarum per formulas differentiales investigandi

E747: De seriebus memorabilibus, quibus sinus et cosinus angulorum multiplorum exprimere licet

E748: Investigatio quadrilateri, in quo singularum angulorum sinus datam inter se teneant rationem, ubi artificia prorsus singularia in Analysi Diophantea occurrunt

E749: Geometrica et sphaerica quaedam

Publications from 1818 1818

E750: Commentatio in fractionem continuam, qua illustris La Grange potestates binomiales expressit

E751: Analysis facilis aequationem Riccatianam per fractionem continuam resolvendi

E752: De integralibus quibusdam inventu difficillimis

E753: Solution succincta et elegans problematis, quo quaeruntur tres numeri tales, ut tam summae quam differentiae binorum sint quadrata

Publications from 1820 1820

E754: Probleme de geometrie resolu par l'analyse de Diophante

E755: De casibus, quibus formulam x⁴+mxxyy+y⁴ ad quadratum reducere licet

E756: Solutio problematis mechanici non parum curiosi

E757: De problemate traiectoriarum orthogonalium ad superficies translato

Publications from 1822 1822

E758: De binis formulis speciei xx+myy et xx+nyy inter se concordibus et discordibus

E759: Investigatio accuratior circa brachystochronas

E760: De vera brachystochrona seu linea celerrimi descensus in medio resistente

E761: De brachystochrona in medio resistente, dum corpus ad centrum virium utunque attrahitur

Publications from 1824 1824

E763: De tribus pluribusve numeris inveniendis, quorum summa sit quadratum, quadratorum vero summa biquadratum

E764: Resolutio facilis quaestionis difficillimae, qua haec formula maxime generalis vvzz(axx+byy)² + Δxxyy(avv+bzz)² ad quadratum reduci postulatur

E765: De problemate curvarum synchronarum, eiusque imprimis inverso

E766: Methodus nova et generalis problema synchronarum inversum aliaque eiusdem generis resolvendi

E767: De curvis quarum radii osculi tenent rationem duplicatam distantiae a puncto fixo earumque mirabilibus proprietatibus

E768: De unciis potestatum binomii earumque interpolatione

Publications from 1826 1826

E769: Solutio problematis Fermatiani de duobus numeris, quorum summa sit quadratum, quadratorum vero summa biquadratum, ad mentem illustris La Grange adornata

E770: Enodatio maximi paradoxi, in problemate quodam mechanico occurentis

E771: Solutio trium problematum difficiliorum ad methodum tangentium inversam pertinentium

Publications from 1830 1830

E772: De insigni promotione Analysis Diophantaeae

E773: Solutio problematis difficillimi, quo hae duae formulae aaxx+bbyy et aayy+bbxx quadrata reddi debent

E774: Investigatio binorum numerorum formae xy(x⁴–y⁴), quorum productum sive quotus sit quadratum

E775: De binis numeris, quorum summa sive aucta sive minuta tam unius quam alterius quadrato producat quadrata

E776: Dilucidationes circa binas summas duorum biquadratorum inter se aequales

E777: De resolutione huius aequationis 0 = a + bx + cy + dxx + exy + fyy + gxxy + hyy + ixxyy per numeros rationales

E778: Methodus nova et facilis formulas cubicas et biquadraticas ad quadratum reducendi

E779: Solutio problematis ad analysin infinitorum indeterminatorum referendi

E780: De infinitis curvis algebraicis, quarum longitudo indefinita arcui elliptico aequatur

E781: De infinitis curvis algebraicis, quarum longitudo arcui parabolico aequatur

E782: De binis curvis algebraicis eadem rectificatione gaudentibus

E783: De curvis algebraicis, quarum omnes arcus per arcus circulares metiri liceat

E784: Solutio problematis analytici difficillimi

E785: Intégration d'une espèce remarqable d'équation différentielle dans l'analyse des fonctions à deux variables