The Eneström Index. In 1913, Swedish mathematician Gustaf Eneström completed a comprehensive survey of Euler's works. He enumerated 866 distinct works, including books, journal articles, and some letters he deemed to be especially important. Each of these was assigned a number, from E1 to E866, which is now referred to as the "Eneström number." Most historical scholars today use Eneström numbers to identify Euler's writings quickly.
Euler Translation. Since roughly 80% of Euler's works were published in Latin, translation into modern languages is crucial in order to understand his contributions to science and mathematics. If you are contemplating a particular translation project, please contact Erik Tou (etou@uw.edu) or Chris Goff (cgoff@pacific.edu), using "Euler Translation Notice" as your subject heading. If you have completed a translation project, please consider submitting it to the journal Euleriana.
Other Resources. To read more on Euler and his work, check out the Euler Archive's historical information section, as well as Ed Sandifer's How Euler Did It column. Further information on Euler and 18th century science can be found on our Historical and Biographical Resources page.
Publications from 1770
E401: Nouvelle manière de comparer les observations de la lune avec la théorie
E402: Du mouvement des absides des satellites de Jupiter
E403: Des Herrn Leonhard Eulers nothige Berechnung zur Einrichtung einer Witwencasse
Publications from 1771
E404: Dioptricae pars tertia
E406: Observationes circa radices aequationum
E407: Problema algebraicum ob affectiones prorsus singulares memorabile
E408: De curva rectificabili in superficie sphaerica
E409: Sectio tertia de motu fluidorum lineari potissimum aquae
E411: De ictu glandium contra tabulam explosarum
E412: Solution d'une question tres difficile dans le calcul des probabilités
E414: Investigatio perturbationum quibus planetarum motus ob actionem eorum mutuam afficiuntur.
E415: Sur le roulis et le tangage
Publications from 1772
E417: Lettres a une princesse d'Allemagne sur divers sujets de physique & de philosophie
E418: Theoria motuum lunae
E419: De solidis quorum superficiem in planum explicare licet
E420: Methodus nova et facilis calculum variationum tractandi
E421: Evolutio formulae integralis ∫x f-1 dx (log x)m/n integratione a valore x=0 ad x=1 extensa
E422: Problematis cuiusdam geometrici prorsus singularis evolutio
E423: Considerationes cyclometricae
E424: Sectio quarta de motu aeris in tubis
E425: De perturbatione motus terrae ab actione Veneris oriunda
Publications from 1773
E426: Théorie complette de la construction et de la manoeuvre des vaisseaux
E427: Problematis cuiusdam Diophantei evolutio
E428: Observationes circa bina biquadrata, quorum summam in duo alia biquadrata resolvere liceat
E429: De variis integrabilitatis generibus
E430: Observationes circa aequationem differentialem y dy + My dx + N dx = 0
E432: Exercitationes analyticae
E433: Digressio de traiectoriis tam orthogonalibus quam obliquangulis
E434: De collisione corporum gyrantium
E435: De collisione corporum pendulorum, tam obliqua, quam motu gyratorio perturbata
E436: De vera tautochrona in fluido
E437: De tautochrona in medio rarissimo, quod resistit in ratione multiplicata quacunque celeritatis
E438: Dilucidationes de tautochronismo
E439: De chordis vibrantibus disquisitio ulterior
E441: De motu vibratorio chordarum ex partibus quotcunque diversae crassitiei compositarum
E442: De motu vibratorio chordarum crassitie utcunque variabili praeditarum
E444: De motu gravium citissimo super curvis specie datis
E445: Novae demonstrationes circa resolutionem numerorum in quadrata
Publications from 1774
E448: Nova series infinita maxime convergens perimetrum ellipsis exprimens
E449: Demonstrationes circa residua ex divisione potestatum per numeros primos resultantia
E450: Nova ratio quantitates irrationales proxime exprimendi
E452: Resolutio aequationis Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros
E456: De pressione ponderis in planum cui incumbit
E457: De harmoniae veris principiis per speculum musicum repraesentatis
E458: Nova methodus motus planetarum principalium ad tabulas astronomicas reducendi
E460: De applicatione lentium obiectivarum compositarum ad omnis generis telescopia
Publications from 1775
E462: De valore formulae integralis ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz casu quo post integrationem ponitur z=1
E464: Nova methodus quantitates integrales determinandi
E466: Problema Diophanteum singulare
E468: De oscillationibus minimis penduli quotunque pondusculis onusti
E469: De motu oscillatorio binarum lancium ex libra suspensarum
E470: Explicatio motus oscillatorii mirabilis in libra maiore observati
E472: Commentatio hypothetica de periculo a nimia cometae approponquatione metuendo
Publications from 1776
E473: Éclaircissemens sur les établissemens publics en faveur tant des veuves que des morts
E474: Solutio quorundam problematum Diophanteorum
E475: Speculationes analyticae
E476: Observationes circa novum et singulare progressionum genus
E477: Meditationes circa singulare serierum genus
E478: Formulae generales pro translatione quacunque corporum rigidorum
E479: Nova methodus motum corporum rigidorum degerminandi
E480: Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli
Publications from 1777
E485: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1770
E486: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1772
Publications from 1778
E488: Observationes in praecedentem dissertationem illustris Bernoulli
E489: De formulis exponentialibus replicatis
E490: De repraesentatione superficiei sphaericae super plano
E491: De proiectione geographica superficiei sphaericae
E492: De proiectione geographica Deslisliana in mappa generali imperii russici usitata
E493: Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata
E494: De figura quam ventus fluido stagnanti inducere valet
E496: De figura apparente annuli Saturni pro eius loco quocunque respectu terrae. Auctore L. Eulero
E497: De apparitione et disaparitione annuli Saturni. Auctore L. Eulero
Publications from 1779
E498: Extrait d'un lettre de M. Euler à M. Beguelin en Mai 1778
Publications from 1780
E499: De integratione formulae ∫ (dx log x)/√(1-xx) ab x=0 ad x=1 extensa