Japanese phrase for polygons inscribed in a circle

The Japanese sentence ( English Japanese theorem states), that the sum of Inkreisradien a triangulated in a circle inscribed polygon independent of the chosen triangulation is.

Sum of the radii of the green circles = sum of the radii of the red circles

See also

• Carnot's theorem
• Sangaku
• Wasan
• Japanese theorem for concyclic quadrilaterals

literature

• Claudi Alsina, Roger B. Nelsen: Icons of Mathematics: An Exploration of Twenty Key Images . MAA, 2011, ISBN 978-0-88385-352-8 , pp. 121-125

Web links

• Eric W. Weisstein : Japanese Theorem . In: MathWorld (English).
• Mangho Ahuja, Wataru Uegaki, Kayo Matsushita: In Search of the Japanese Theorem . ( Memento of February 8, 2007 in the Internet Archive ) (English, Postscript file)
• The Japanese sentence at Cut-the-Knot (English)