Random Cyclic Quadrilaterals

Steven Finch

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arXiv · 1610.00510

Random Cyclic Quadrilaterals

Steven Finch

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Abstract

The circumcircle of a planar convex polygon P is a circle C that passes through all vertices of P. If such a C exists, then P is said to be cyclic. Fix C to have unit radius. While any two angles of a uniform cyclic triangle are negatively correlated, any two sides are independent. In contrast, for a uniform cyclic quadrilateral, any two sides are negatively correlated, whereas any two adjacent angles are uncorrelated yet dependent.

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Steven Finch. 2016-10-03. Random Cyclic Quadrilaterals. https://arxiv.org/abs/1610.00510

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