Japanese theorem (English, name)
expansion: the Japanese theorem
expansion: (geometry)
Senses:
topics: geometry
mathematics
sciences
glosses: A theorem stating that, no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant. Conversely, if the sum of inradii is independent of the triangulation, then the polygon is cyclic.
topics: geometry
mathematics
sciences
glosses: A theorem stating that the centers of the incircles of certain triangles inside a cyclic quadrilateral are vertices of a rectangle.
Forms:
form: the Japanese theorem
tags: canonical