Author
Vaibhav Shakya
Recent research
- AI & ComputingOpen access
English translation of “De methodo Diophanteae analoga in analysi infinitorum” by Leonhard Euler (Eneström E245), titled “On a method analogous to that of Diophantus in the analysis of the infinite.” Prepared for Open Math Heritage with OpenAI-assisted translation, mathematical t...
- AI & ComputingOpen access
Euler E283: On very large prime numbers | English translation | OMH v1.0
English translation of “De numeris primis valde magnis” by Leonhard Euler (Eneström E283), titled “On very large prime numbers.” Historical table errors and omissions are preserved; the uncertain superscript at a = 193 remains qualified. Prepared for Open Math Heritage with OpenA...
- Physics & SpaceOpen access
Euler E066: Theory of the motions of planets and comets | English translation | OMH v1.0
English translation of “Theoria motuum planetarum et cometarum” (Eneström E066), titled “Theory of the motions of planets and comets.” Attribution: Leonhard Euler. This PDF includes the complete work, its addendum and final Nota, all 184 physical text/table pages, and fifteen sci...
- Physics & SpaceOpen access
English translation of “Emendatio tabularum astronomicarum per loca planetarum geocentrica” (Eneström E131), titled “Correction of astronomical tables using the geocentric positions of the planets.” Attribution: Leonhard Euler. This PDF includes the complete original pp. 109–221,...
- AI & ComputingOpen access
Euler E229: On the most suitable construction of windmills | English translation | OMH v1.0
English translation of “De constructione aptissima molarum alatarum” by Leonhard Euler (Eneström E229), titled “On the most suitable construction of windmills.” Prepared for Open Math Heritage with OpenAI-assisted translation, mathematical transcription and LaTeX typesetting. OMH...
- AI & ComputingOpen access
English translation of “Principes généraux de l'état d'équilibre des fluides” by Leonhard Euler (Eneström E225), titled “General principles of the state of equilibrium of fluids.” Prepared for Open Math Heritage with OpenAI-assisted translation, mathematical transcription and LaT...
- Physics & SpaceOpen access
Euler E384: Research on the inequalities of Jupiter and Saturn | English translation | OMH v1.0
English translation of “Recherches sur les inégalités de Jupiter et de Saturne” by Leonhard Euler (Eneström E384), titled “Research on the inequalities of Jupiter and Saturn.” The publication-title and prize-title variants are distinguished. Prepared for Open Math Heritage with O...
- AI & ComputingOpen access
Euler E287: On the vibrating motion of strings of unequal thickness | English translation | OMH v1.0
English translation of “De motu vibratorio cordarum inaequaliter crassarum” by Leonhard Euler (Eneström E287), titled “On the vibrating motion of strings of unequal thickness.” Prepared for Open Math Heritage with OpenAI-assisted translation, mathematical transcription and LaTeX...
- AI & ComputingOpen access
Complete English translation of Leonhard Euler’s De minimis oscillationibus corporum tam rigidorum quam flexibilium. Methodus nova et facilis (E040), published in Commentarii Academiae Scientiarum Imperialis Petropolitanae, volume VII (1740), pp. 99–122. Euler develops a statical...
- Society & EconomicsOpen access
Euler E848: On the construction of microscopes | English translation with redrawn figures | OMH v1.0
English translation of Leonhard Euler’s De la Construction des Microscopes (E848), article XXVI in Opera postuma mathematica et physica, Tomus alter (Petropoli, 1862), pp. 755–780, with Plate XXIV, figures 268–270. All 85 numbered paragraphs, original page markers, equations, six...
- Society & EconomicsOpen access
Euler E413: On the propulsion of ships without the force of wind | English translation | OMH v1.0
Complete English translation of Leonhard Euler’s De promotione navium sine vi venti (On the propulsion of ships without the force of wind), Eneström E413, published in Recueil des pièces qui ont remporté les prix de l’Académie royale des sciences, volume VIII (Paris, 1771), pp. 1...
- AI & ComputingOpen access
Complete English translation of Leonhard Euler’s Observationes circa fractiones continuas in hac forma contentas (E742), published in Mémoires de l’Académie impériale des sciences de St. Pétersbourg, volume IV (1813), pp. 52–74; presented on 18 November 1779. Euler studies S = n/...
- Physics & SpaceOpen access
English translation of Leonhard Euler’s Tabulae astronomicae solis et lunae (E087), in L. Euleri Opuscula varii argumenti, volume 1 (Berlin: Ambrosius Haude and Johann Carl Spener, 1746), pp. 137–168. This complete 60-page edition translates all four introductory source pages and...
- AI & ComputingOpen access
English translation of Leonhard Euler's E430, Observations on the differential equation y dy + My dx + N dx = 0. AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is...
- AI & ComputingOpen access
English translation of Leonhard Euler's E651, Four particularly noteworthy theorems in integral calculus. AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserve...
- AI & ComputingOpen access
English translation of Leonhard Euler's E711, A new and easy method for expressing the roots of all algebraic equations and any powers of them by elegant series. AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with li...
- Society & EconomicsOpen access
Euler E196: Improvement of the magic lantern and solar microscope | English translation | OMH v1.0
English translation of Leonhard Euler's E196, Improvement of the magic lantern and solar microscope. AI use and review status: OpenAI tools assisted with the translation and LaTeX. Version 1.0 is a machine draft with limited scholarly human inspection. Version 2.0 is reserved for...