Joan Porti
Abstract
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We prove that, among all convex hyperbolic polygons with given angles, the perimeter is minimized by the unique polygon with an inscribed circle. The proof relies on work of J.-M.\ Schlenker.
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We prove that, among all convex hyperbolic polygons with given angles, the perimeter is minimized by the unique polygon with an inscribed circle. The proof relies on work of J.-M.\ Schlenker.
Key concepts: Inscribed figure, Perimeter, Polygon (computer graphics), Regular polygon, Star-shaped polygon, Point in polygon, Rectilinear polygon, Mathematics