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arxiv: 1408.1493 · v1 · pith:DOBBXIDQnew · submitted 2014-08-07 · 🧮 math.MG · math-ph· math.MP

A porism concerning cyclic quadrilaterals

classification 🧮 math.MG math-phmath.MP
keywords cyclicquadrilateralsporismcirclecollinearconcerningexistenceexists
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We present a geometric theorem on a porism about cyclic quadrilaterals, namely the existence of an infinite number of cyclic quadrilaterals through four fixed collinear points once one exists. Also, a technique of proving such properties with the use of pseudounitary traceless matrices is presented. A similar property holds for general quadrics as well as the circle.

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