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 1780
E501: Considerationes circa brachystochronas
E502: Sur l'effet de la réfraction dans les observations terrestres
E503: De motu oscillatorio penduli cuiuscunque, dum arcus datae amplitudinis absolvit
Publications from 1778
E504: De Theoria Lunae ad maiorem perfectionis gradum evehenda
Publications from 1780
E507: De infinities infinitis gradibus tam infinite magnorum quam infinite parvorum
E508: Determinatio onerum, quae columnae gestare valent
E509: Examen insignis paradoxi in theoria columnarum occurentis
E510: De altitudine columnarum sub proprio pondere corruentium
E511: Réflexions sur les inégalités dans le mouvement de la terre, causées par l'action de Venus
Publications from 1781
E513: De curvis triangularibus
E514: De mensura angulorum solidorum
E516: De motu oscillatorio duorum corporum ex filo super trochleas traducto suspensorum
E517: De problemate quodam mechanico, satis obvio, at solutu difficillimo
E519: Nova methodus motum planetarum determinandi
E520: Essai d'une théorie de la résistance qu'éprouve la proue d'un vaisseau dans son mouvement
E521: Extraits de différents Lettres de M. Euler à M. le Marquis de Condorcet
Publications from 1782
E522: De formatione fractionum continuarum
E523: De tribus numeris quadratis, quorum tam summa quam summa productorum ex binis sit quadratum
E524: Trigonometria sphaerica universa, ex primis principiis breviter et dilucide derivata
E525: De motu oscillatorio mixto plurium pendulorum ex eodem corpore mobili suspensorum
E526: Investigatio motuum, quibus laminae et virgae elasticae contremiscunt
Publications from 1779
E527: Conjectura circa naturam aeris, pro explicandis phaenomenis in atmosphaera observatis
E528: Annotatio in praecendentem dissertationem.
Publications from 1782
E529: Theoria parallaxeos, ad figuram terrae sphaeroidicam accomodata
E530: Recherches sur un nouvelle espèce de quarrés magiques
Publications from 1783
E531: Opuscula analytica, tomus primus
E532: De serie Lambertina plurimisque eius insignibus proprietatibus
E533: De motu oscillatorio pendulorum ex filo tenso dependentium
E534: Dilucidationes super aliquot casus aequilibrii difficiliores
E535: Determinatio omnium motuum, quos chorda tensa et uniformiter crassa recipere potest
E536: De proprietatibus triangulorum mechanicis
E537: De figura curvae elasticae contra obiectiones quasdam Illustris d'Alembert
E538: Cautiones necessariae in determinatione motus planetarum observandae
E539: Supplementum calculi integralis pro integratione formularum irrationalium
E540: Nova methodus fractiones quascumque rationales in fractiones simplices resolvendi
E541: Evolutio producti infiniti (1–x)(1–xx)(1–x3)(1–x4)(1–x5)(1–x6) etc. in seriem simplicem
E542: De mirabilis proprietatibus numerorum pentagonalium
E543: Problematis cuiusdam Pappi Alexandrini constructio
E544: De motu libero plurium corporum filis colligatorum super plano horizontali
E545: De vi fluminis ad naves sursum trahendas applicanda
E546: De statu aequilibrii maris a viribus solis et lunae sollicitati
E547: Determinatio facilis orbitae cometae, cuius transitum per eclipticam bis observare licuit
Publications from 1780
E548: De variis motuum generibus, qui in satellitibus planetarum locum habere possunt.
Publications from 1783
E550: De seriebus, in quibus producta ex minis terminis contiguis datam constituunt progressionem
E551: Varia artificia in serierum indolem inquirendi
E552: Observationes circa divisionem quadratorum per numeros primos
E553: Observationes analyticae
E555: De eximio usu methodi interpolationum in serierum doctrina
E556: De criteriis aequationis fxx + gyy = hz2, utrum ea resolutionem admittat nec ne?
E557: De quibusdam eximiis proprietatibus circa divisores potestatum occurrentibus
E559: Nova subsidia pro resolutione formulae axx + 1 = yy
E560: Miscellanea analytica
E561: Variae observationes circa angulos in progressione geometrica progredientes
E562: Quomodo sinus et cosinus angulorum multiplorum per producta exprimi queant
Publications from 1784
E563: De ellipsi minima dato parallelogrammo rectangulo circumscribenda
E564: Speculationes circa quasdam insignes proprietates numerorum
E565: De plurimis quantitatibus transcendentibus, quas nullo modo per formulas integrales exprimere licet
E566: De inductione ad plenam certitudinem evehenda
E567: Dilucidationes de motu chordarum inaequaliter crassarum
E568: De motu penduli circa axem cylindricum, fulcro datae figurae incumbentem, mobilis. Remota frictione
Publications from 1783
Publications from 1784
E571: De eclipsibus solaribus in superficie terrae per proiectionem repraesentandis. Auctore L. Eulero
E572: Nova methodus integrandi formulas differentiales rationales sine subsidio quantitatum imaginariarum
E573: De duplici genesi tam epicycloidum quam hypocycloidum
E574: De curvis rectificabilibus in superficie coni recti ducendis
E576: De oscillationibus minimis funis libere suspensi
E577: De perturbatione motus chordarum ab earum pondere oriunda
Publications from 1781
E578: De perturbatione motus planetarum et cometarum.
Publications from 1784
Publications from 1785
E580: Opuscula analytica, tomus secundus
E582: Uberior evolutio comparationis, quam inter arcus sectionum conicarum instituere licet
E583: De numero memorabili in summatione progressionis harmonicae naturalis occurrente
E584: De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis
E585: De effectu frictionis in motu volutorio
E586: Considerationes super theoremate Fermatiano de resolutione numerorum in numeros polygonales
E587: Observation in aliquot theoremata illustrissimi de la Grange
E588: Investigatio formulae integralis ∫(xm-1 dx)/(1+xk)n casu, quo post intagrationem statuitur x=∞
E589: Investigatio valoris integralis ∫(xm-1 dx)/(1 – 2xkcosθ + x2k) a termino x=0 ad x=∞ extensi
E590: Theoremata quaedam analytica, quorum demonstratio adhuc desideratur
E591: De relatione inter ternas pluresve quantitates instituenda
E592: De resolutione fractionum transcendentium in infinitas fractiones simplices
E597: De seriebus potestatum reciprocis methodo nova et facillima summandis
E598: De insigni promotione scientiae numerorum
E600: Solutio quarundam quaestionum difficiliorum in calculo probabilium
