An easier solution of a Diophantine problem about triangles, in which those lines from the vertices which bisect the opposite sides may be expressed rationally

Simple item page
dc.creatorEuler, Leonhard
dc.date2005-03-03
dc.date.accessioned2026-07-07T05:17:37Z
dc.date.available2026-07-07T05:17:37Z
dc.descriptionThis is an English translation from the Latin original of Leonhard Euler's ``Solutio facilior problematis Diophantei circa triangulum, in quo rectae ex angulis latera opposita bisecantes rationaliter exprimantur''. In this paper, Euler proves that there exist triangles with integer length sides such that the length of the bisectors of the sides to the opposite angles are integer valued, and he gives a general method for making a certain class of such triangles.
dc.description6 pages, seems to be first English translation of Euler's ``Solutio facilior problematis Diophantei circa triangulum, in quo rectae ex angulis latera opposita bisecantes rationaliter exprimantur'', Memoires de l'Academie Imperiale des Sciences de St.-Petersbourg 2 (1810), 10-16
dc.identifierhttps://arxiv.org/abs/math/0503052
dc.identifierhttp://arxiv.org/abs/math/0503052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74373
dc.subjectHistory and Overview
dc.subjectMetric Geometry
dc.subject01A50; 51M04
dc.titleAn easier solution of a Diophantine problem about triangles, in which those lines from the vertices which bisect the opposite sides may be expressed rationally
dc.typetext

Files

Collections

arXiv