| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9492838 | Expositiones Mathematicae | 2005 | 9 Pages |
Abstract
We consider the problem of finding two integer right-angled triangles, having a common base, where the respective heights are in the integer ratio n:1. By considering an equivalent elliptic curve problem, we find parametric solutions for certain values of n. Extensive computational resources are then employed to find those integers which do appear with 2⩽n⩽999.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Allan J. MacLeod,