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arxiv:2504.12866
Intersections of random chords of a circle
Published on Apr 17, 2025
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Abstract
Where are the intersection points of diagonals of a regular n-gon located? What is the distribution of the intersection point of two random chords of a circle? We investigate these and related new questions in geometric probability, extend a largely forgotten result of Karamata, and elucidate its connection to the Bertrand paradox.
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