A problem of Ozanam

Research output: Contribution to journalArticle

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)37-44
Number of pages8
JournalProceedings of the Edinburgh Mathematical Society
Volume52
Issue number1
DOIs
StatePublished - Feb 1 2009

Keywords

  • Area
  • Elliptic curve
  • Pythagorean triangle
  • Square

ASJC Scopus subject areas

  • Mathematics(all)

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