| 单词 | Japanese Triangulation Theorem |
| 释义 | Japanese Triangulation TheoremLet a convex Cyclic Polygon be Triangulated in any manner, and draw the Incircle toeach Triangle so constructed. Then the sum of the Inradii is a constant independent of theTriangulation chosen. This theorem can be proved using Carnot's Theorem. It is also true that if the sum ofInradii does not depend on the Triangulation of a Polygon, then the Polygon isCyclic. See also Carnot's Theorem, Cyclic Polygon, Incircle, Inradius, Triangulation
Honsberger, R. Mathematical Gems III. Washington, DC: Math. Assoc. Amer., pp. 24-26, 1985. Lambert, T. ``The Delaunay Triangulation Maximizes the Mean Inradius.'' Proc. Sixth Canadian Conf. Comput. Geometry. Saskatoon, Saskatchewan, Canada, pp. 201-206, August 1994. |
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