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

Authors

Leonhard Euler

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

Included in

Mathematics Commons

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