A porism for cyclic quadrilaterals, butterfly theorems, and hyperbolic geometry

Published 10 Aug 2014 in math.MG | (1408.2247v2)

Abstract: If there exists a cyclic quadrilateral whose sides go through the given four collinear points, then there are infinitely many such quadrilaterals inscribed in the same circle. We give two proofs of this porism; one based on cross-ratios, the other on compositions of hyperbolic isometries.

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Ivan Izmestiev

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