Euler Scholarship. Since roughly 80% of Euler's works were published in Latin, translation into current languages is crucial in order to understand his contributions to science and mathematics. Additionally, while English is the primary language of scholarship today, translations into any modern languages are highly valuable, and will help make Euler's work available to the general public.

Our Translation Goals. One of the the Euler Archive's key objectives is to provide a foundation for the translation of Euler's works. So, we provide here a translation "clearing-house": a comprehensive listing of articles, books, and letters that are being actively translated. In this way, individual translators may inform the community of Euler scholars of their current area of study while also preventing accidental duplication of a translation in progress.

Our Translation Policy. Our view is that any modern rendering of Euler's work has value, and should be made available to the community of scholars. Additionally, in the interests of quality and peer review, we encourage others to critique and review the translations presented on our site. Thus, while any translation submitted to the Euler Archive will be posted, it will be labeled initially as a draft translation; only after being reviewed and edited will a translation lose this label.

If you are contemplating a particular translation project, please contact Erik Tou (etou@uw.edu), Dominic Klyve (klyved@cwu.edu), or Chris Goff (cgoff@pacific.edu). Use "Euler Translation Notice" as your subject heading.

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Publications from 1770

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E401: Nouvelle manière de comparer les observations de la lune avec la théorie

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E402: Du mouvement des absides des satellites de Jupiter

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E403: Des Herrn Leonhard Eulers nothige Berechnung zur Einrichtung einer Witwencasse

Publications from 1771

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E404: Dioptricae pars tertia

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E405: Solutio problematis, quo duo quaeruntur numeri, quorum productum tam summa quam differentia eorum sive auctum sive minutum fiat quadratum

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E406: Observationes circa radices aequationum

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E407: Problema algebraicum ob affectiones prorsus singulares memorabile

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E408: De curva rectificabili in superficie sphaerica

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E409: Sectio tertia de motu fluidorum lineari potissimum aquae

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E410: Genuina principia doctrinae de statu aequilibrii et motu corporum tam perfecte flesibilium quam elasticorum

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E411: De ictu glandium contra tabulam explosarum

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E412: Solution d'une question tres difficile dans le calcul des probabilités

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E413: De promotione navium sine vi venti (Mémoire sur la manière de suppléer à l'action du vent sur les grands vaisseaux)

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E414: Investigatio perturbationum quibus planetarum motus ob actionem eorum mutuam afficiuntur.

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E415: Sur le roulis et le tangage

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E416: Meditationes in quaestionem utrum motus medius planetarum semper maneat aeque velox, an successu temporis quampiam mutationem patiatur? & quaenam sit ejus causa? …

Publications from 1772

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E417: Lettres a une princesse d'Allemagne sur divers sujets de physique & de philosophie

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E418: Theoria motuum lunae

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E419: De solidis quorum superficiem in planum explicare licet

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E420: Methodus nova et facilis calculum variationum tractandi

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E421: Evolutio formulae integralis ∫ x f-1 dx (log x)m/n integratione a valore x=0 ad x=1 extensa

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E422: Problematis cuiusdam geometrici prorsus singularis evolutio

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E423: Considerationes cyclometricae

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E424: Sectio quarta de motu aeris in tubis

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E425: De perturbatione motus terrae ab actione Veneris oriunda

Publications from 1773

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E426: Théorie complette de la construction et de la manoeuvre des vaisseaux

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E427: Problematis cuiusdam Diophantei evolutio

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E428: Observationes circa bina biquadrata, quorum summam in duo alia biquadrata resolvere liceat

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E429: De variis integrabilitatis generibus

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E430: Observationes circa aequationem differentialem y dy + My dx + N dx = 0

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E431: Consideratio aequationis differentio-differentialis (a+bx)ddz + (c+ex)(dx dz/x) + (f+gx)(z dx2/xx) = 0

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E432: Exercitationes analyticae

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E433: Digressio de traiectoriis tam orthogonalibus quam obliquangulis

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E434: De collisione corporum gyrantium

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E435: De collisione corporum pendulorum, tam obliqua, quam motu gyratorio perturbata

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E436: De vera tautochrona in fluido

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E437: De tautochrona in medio rarissimo, quod resistit in ratione multiplicata quacunque celeritatis

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E438: Dilucidationes de tautochronismo

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E439: De chordis vibrantibus disquisitio ulterior

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E440: Animadversiones in solutionem Bernoullianam de motu chordarum ex duabus partibus diversae crassitiei compositarum Tomo XVI Novorum Commentariorum

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E441: De motu vibratorio chordarum ex partibus quotcunque diversae crassitiei compositarum

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E442: De motu vibratorio chordarum crassitie utcunque variabili praeditarum

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E443: De motu vibratorio laminarum elasticarum, ubi plures novae vibrationum species hactenus non pertractatae evolvuntur

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E444: De motu gravium citissimo super curvis specie datis

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E445: Novae demonstrationes circa resolutionem numerorum in quadrata

Publications from 1774

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E446: Instruction détaillée pour porter les lunettes de toutes les différentes espèces au plus haut degré de perfection dont elles sont susceptibles

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E447: Summatio progressionum sin(φλ) + sin(2φλ) + sin(3φλ) + ... + sin(nφλ); cos(φλ) + cos(2φλ) + cos(3φλ) + ... + cos(nφλ)

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E448: Nova series infinita maxime convergens perimetrum ellipsis exprimens

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E449: Demonstrationes circa residua ex divisione potestatum per numeros primos resultantia

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E450: Nova ratio quantitates irrationales proxime exprimendi

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E451: Solutio problematis de inveniendo triangulo, in quo rectae ex singulis angulis latera opposita bisecantes sint rationales

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E452: Resolutio aequationis Ax2 + 2Bxy + Cy2 + 2Dx + 2Ey + F = 0 per numeros tam rationales quam integros

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E453: Insignes proprietates serierum sub hoc termino generali contentarum x = 1/2∙(a+b/√k)(p+qk)n + 1/2∙(a-b/√k)(p-qk)n

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E454: De resolutione irrationalium per fractiones continuas, ubi simul nova quaedam et singularis species minimi exponitur

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E455: Determinatio motus oscillatorii in praecedente dissertatione pertracti, ex primus mechanicae principiis petita

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E456: De pressione ponderis in planum cui incumbit

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E457: De harmoniae veris principiis per speculum musicum repraesentatis

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E458: Nova methodus motus planetarum principalium ad tabulas astronomicas reducendi

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E459: Disquitio de lentibus obiectivis triplicatis, quae vel nullam confusionem pariant vel etiam datam confusionem a reliquis lentibus ortam destruere valeant

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E460: De applicatione lentium obiectivarum compositarum ad omnis generis telescopia

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E461: Extrait d'un lettre de M. Euler le pere à M. Bernoulli concernant le Mémoire imprimé parmi ceux de 1771, p 318

Publications from 1775

E462: De valore formulae integralis ∫ (zm-1 ± zn-m-1)/(1 ± zn) dz casu quo post integrationem ponitur z=1

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E463: De valore formulae integralis ∫ (zλ-ω ± zλ+ω)/(1 ± z)(dz/z)(log z)μ casu quo post integrationem ponitur z = 1

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E464: Nova methodus quantitates integrales determinandi

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E465: Demonstratio theorematis Neutoniani de evolutione potestatum binomii pro casibus, quibus exponentes non sunt numeri integri

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E466: Problema Diophanteum singulare

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E467: De tabula numerorum primorum usque ad millionem et ultra continuanda, in qua simul omnium numerorum non primorum minimi divisores exprimantur

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E468: De oscillationibus minimis penduli quotunque pondusculis onusti

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E469: De motu oscillatorio binarum lancium ex libra suspensarum

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E470: Explicatio motus oscillatorii mirabilis in libra maiore observati

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E471: De motu turbinatorio chordarum musicarum; ubi simul universa theoria aequilibrii quam motus corporum flexibilium simulque etiam elasticorum breviter explicatur

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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

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E474: Solutio quorundam problematum Diophanteorum

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E475: Speculationes analyticae

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E476: Observationes circa novum et singulare progressionum genus

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E477: Meditationes circa singulare serierum genus

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E478: Formulae generales pro translatione quacunque corporum rigidorum

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E479: Nova methodus motum corporum rigidorum degerminandi

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E480: Regula facilis pro diiudicanda firmitate pontis aliusve corporis similis excognita firmitate moduli

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E481: De gemina methodo tam aequilibrium quam motum corporum flexibilium determinandi et utriusque egregio consensu

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E482: De pressione funium tensorum in corpora subiecta eorumque motu a frictione impedito. Ubi praesertim methodus traditur …

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E483: De traiectu citissimo stellae per duos circulos almucantarath datos pro qualibet elevatione poli. Auctore L. Eulero

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E484: De circulo maximo fixo in coelo constituendo, ad quem orbitae planetarum et cometarum referantur. Auctore L. Eulero

Publications from 1777

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E485: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1770

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E486: Réponse à la question proposée par l'académie royale des sciences de Paris, pour l'année 1772

Publications from 1778

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E487: Réflections de Mr. L. Euler sur quelques nouvelles expériences optiques, communiquées a l'academie des sciences, par Mr. Wilson

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E488: Observationes in praecedentem dissertationem illustris Bernoulli

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E489: De formulis exponentialibus replicatis

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E490: De repraesentatione superficiei sphaericae super plano

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E491: De proiectione geographica superficiei sphaericae

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E492: De proiectione geographica Deslisliana in mappa generali imperii russici usitata

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E493: Vera theoria refractionis et dispersionis radiorum rationibus et experimentis confirmata

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E494: De figura quam ventus fluido stagnanti inducere valet

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E495: Considerationes super problemate astronomico in tomo commentarior. veter. IV. pertractato. Auctore L. Eulero

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E496: De figura apparente annuli Saturni pro eius loco quocunque respectu terrae. Auctore L. Eulero

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E497: De apparitione et disaparitione annuli Saturni. Auctore L. Eulero

Publications from 1779

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E498: Extrait d'un lettre de M. Euler à M. Beguelin en Mai 1778

Publications from 1780

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E499: De integratione formulae ∫ (dx log x)/√(1-xx) ab x=0 ad x=1 extensa

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E500: De valore formulae integralis ∫(xa-1 dx)/(log x)∙(1–xb)(1–xc)/(1–xn) a termino x=0 usque ad x=1 extensae