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Carnot's theorem (inradius, circumradius)
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==References== *Claudi Alsina, Roger B. Nelsen: ''When Less is More: Visualizing Basic Inequalities''. MAA, 2009, {{ISBN|978-0-88385-342-9}}, p.[https://books.google.com/books?id=U1ovBsSRNscC&pg=PA99 99] *Frédéric Perrier: ''Carnot's Theorem in Trigonometric Disguise''. The Mathematical Gazette, Volume 91, No. 520 (March, 2007), pp. 115–117 ([https://www.jstor.org/stable/40378302 JSTOR]) *David Richeson: [https://www.maa.org/press/periodicals/the-japanese-theorem-for-nonconvex-polygons-a-japanese-temple-problem ''The Japanese Theorem for Nonconvex Polygons – Carnot's Theorem'']. Convergence, December 2013
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