Translations of Euler's Works

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 translation project: please contact Erik Tou ( Use "Euler Translation Notice" as your subject heading. Once your message has been received, the Claimed Translations list will be updated (see below). If you decide to discontinue a translation, please contact the archive so that it can be returned to "open" status. If you want to translate a work that is already on the "Claimed" list, please contact the translator to see if s/he is willing to either collaborate on the translation or relinquish the claim to you.

When you have completed a translation project: please send an anonymous PDF manuscript to Erik Tou ( It will then be sent to a reviewer to evaluate the quality of the translation. For short translations (up to 3 pages in length), this process may be expedited; otherwise, expect 6-8 weeks for a review to be completed. Translation reviews are double-blind.

Completed Translations           Untranslated Works

Active Translations

Index NumberSubmit DateTitle/DescriptionTranslator(s)Contact
E2220 Aug 2015On the communication of motion in collisionsRyan Blais reblais2005 at gmail dot com
E594 Feb 2013Theorems concerning the reduction of integral formulas to the quadrature of the circleTroy Goodsell goodsellt at byui dot edu
E6119 Jul 2011On sums of series of reciprocals from powers of natural numbers from another discussion...Emil Sargsyanemilsar at gmail dot com
E6319 Jul 2011Demonstration of the sum of the following series: 1 + 1/4 + 1/9 + 1/16 ...Emil Sargsyanemilsar at gmail dot com
E825 Jul 2017De la force de percussion et de sa veritable mesureVera Gonzalezvgonzalezgab at gmail dot com
E8826 Jan 2018A new theory of light and colorsCrystal Lai crystal dot lai at protonmail dot com
E9827 Mar 2018 Theorematum quorundam arithmeticorum demonstrationes Paul Bialek pbialek at tiu dot edu
E14024 Aug 2010On the vibration of stringsRob Bradleybradley at adelphi dot edu
E18124 Jul 2017Research on the origin of forcesMichael Saclolo mikeps at stewards dot edu
E20924 Jul 2017Essay concerning the physical explanation of colors which are issued from extremely thin surfacesMichael Saclolo mikeps at stewards dot edu
E22030 Apr 2011Reflections on a problem of geometry dealt with by certain geometers which nevertheless is impossibleJames Swenson swensonj at uwplatt dot edu
E23424 Jul 2017Experiments to determine the refraction of all types of transparent liquorsMichael Saclolo mikeps at stewards dot edu
E2426 May 2016 Proof of a theorem of Fermat that every number whether whole or fraction is the sum of four or fewer squares Paul Bialek pbialek at tiu dot edu
E2707 Nov 2014The 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 numbersMark R. Snavely and Phil Woodruffmsnavely at carthage dot edu
E27114 Sep 2016Demonstration of a new method in the theory of arithmeticSarah Nelson sarah dot nelson at lr dot edu
E32527 Feb 2013Easy solutions to some difficult geometric problemsJohn Lang langkids at rushmore dot com
E32613 Mar 2018Observationes analyticaeCynthia Huffman cjhuffman at pittstate dot edu
E36910 Feb 2012How very large numbers are to be tested for whether they are prime or notJonathan Bayless BaylessJ at husson dot edu
E40024 Sep 2015Thoughts on the three body problemJustin Barhite jbarhite at carthage dot edu
E43822 Sep 2018Clarifications regarding the tautochroneWilliam Holland williamholland28 at gmail dot com
E5063 Aug 2011Elucidations about a most elegant method, which the illustrious de la Grange used in the integration of the differential equation dx/√X = dy/√YAlan Wiederholdalan wiederhold at sjcd dot edu
E54329 Nov 2016Problematis cuiusdam Pappi Alexandrini constructioCynthia Huffman and Glen Van Brummelen cjhuffman at pittstate dot edu
E58624 Jul 2017Considerations about a theorem of Fermat on the resolution of numbers into polygonal numbersMichael Saclolo mikeps at stewards dot edu
E61029 Sep 2016Novae demonstrationes circa divisores numerorum formae xx+nyyTorger Olson tjolson at email dot wm dot edu
E61321 Mar 2017Dilucidationes in capita postrema calculi mei differentalis de functionibus inexplicabilibusItay Barasch itaybarasch at gmail dot com
E69626 Aug 2010On the cases in which the form x4 + kxxyy + y4 is permitted to be reduced to a squareMichael Saclolo mikeps at stewards dot edu
E75526 Aug 2010On cases for which the formula x4 + mxxyy + y4 can be reduced to a squareMichael Saclolo mikeps at stewards dot edu
E75830 Sep 2013De binis formulis speciei xx + myy et xx + nyy inter se concordibus et discordibusAllan MacLeod allan dot macleod at uws dot ac dot uk
E8108 Feb 2012Enodatio insignis cuiusdam paradoxi circa multiplicationem angulorum observatiAllen Rogers allenr at elmhurst dot edu
E8505 May 2012Recherches sur la découverte des courants de la merKristen McKeen Thomas kthomas dot mathedit at gmail dot com