Abstract
A problem posed in the early eighteenth century asks for right-angled triangles, each of whose sides exceeds double the area by a perfect square. We summarize known results and find such triangles with the smallest possible standard generators.
Original language | English (US) |
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Pages (from-to) | 37-44 |
Number of pages | 8 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 52 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2009 |
Keywords
- Area
- Elliptic curve
- Pythagorean triangle
- Square
ASJC Scopus subject areas
- General Mathematics