Integer Triangles with R/r=N

2005/02/23 by Allan J. MacLeod, MacLeod, Allan J. · 1 citation
Mathematics · #00A08 #11D25 #11G05 #11Y50 #FOS: Mathematics #History and Overview (math.HO) #Number Theory (math.NT) #math.HO #math.NT #msc:00A08 #msc:11D25 #msc:11G05 #msc:11Y50

paper · pdf · doi:10.48550/arxiv.math/0502475

8 pages

arxiv created 2005/02/23 · arxiv updated 2009/12/01

Abstract

We consider the problem of finding integer-sided triangles with R/r an integer, where R and r are the radii of the circumcircle and incircle respectively. We show that such triangles are relatively rare.

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• Integer triangles with a rational ratio of circumcircle radius to excircle radius

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