一个关于三角形的丢番图问题的更易解法：从顶点出发平分对边之线段可有理表示
历史与综述
2007-05-23 v1 度量几何
摘要
这是 Leonhard Euler 的拉丁文原作“Solutio facilior problematis Diophantei circa triangulum, in quo rectae ex angulis latera opposita bisecantes rationaliter exprimantur”的英译。在本文中，Euler 证明了存在边长为整数的三角形，使得其对边到对顶点的平分线段长度也为整数，并给出了构造某类此类三角形的一般方法。
引用
@article{arxiv.math/0503052,
title = {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},
author = {Leonhard Euler},
journal= {arXiv preprint arXiv:math/0503052},
year = {2007}
}
备注
6 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