Top Qs
Timeline
Chat
Perspective

Japanese theorem

From Wiktionary, the free dictionary

Remove ads

English

Etymology

(This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.)

Proper noun

the Japanese theorem (geometry)

  1. 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.
  2. A theorem stating that the centers of the incircles of certain triangles inside a cyclic quadrilateral are vertices of a rectangle.
Remove ads

Wikiwand - on

Seamless Wikipedia browsing. On steroids.

Remove ads