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arXiv · 0910.0197

A cornucopia of pythagorean triangles

Konstantine Zelator
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Abstract

Consider two circles, externally tangential,and with integer radii R1, R2; and with R1>R2.The two circles have three tangent lines in common, one of them being T1T2. If M is the midpoint of T1T2, and K the point of intersection of the lines C1C2 and T1T2;then 16 right triangles are formed(C1 and C2 are the two circle centers), see Figure 1.In Section 6 of this paper, we find the precice form the two integers R1 and R2 must have, in order that the sixteen aforementioned right triangles be Pythagorean.

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Konstantine Zelator. 2009-10-01. A cornucopia of pythagorean triangles. https://arxiv.org/abs/0910.0197

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