English 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
Enestrom Number
732
Fuss Index
325
Original Language
Latin
Content Summary
Euler proves that there are triangles with integer side lengths such that the length of the bisectors of the sides to the opposite angles are integers. He also provides a general method to make a certain class of such triangles. This is part of the Mémoires, a sequel to that earlier paper on triangles, E713. Euler gives a couple more such triangles. (Based on Jordan Bell's translation abstract.)
Published as
Journal article
Published Date
1810
Written Date
1779
Original Source Citation
Mémoires de l'académie des sciences de St.-Petersbourg, Volume 2, pp. 10-16.
Opera Omnia Citation
Series 1, Volume 4, pp.399-405.
Record Created
2018-09-25
E732en.pdf (65 kB)
