Word.ws English Dictionary

Japanese theorem

Japanese theorem proper noun: 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.

Proper noun

the Japanese theorem

  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.

Questions about Japanese theorem

What does Japanese theorem mean?
Japanese theorem means 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.
What part of speech is Japanese theorem?
Japanese theorem is a proper noun.

Words near Japanese theorem in the dictionary

  1. Japanese studies
  2. Japanese sumac
  3. Japanese sumacs
  4. Japanese sweet potato
  5. Japanese sweet potatoes
  6. Japanese theorem
  7. Japanese tissue
  8. Japanese tit
  9. Japanese tits
  10. Japanese tree lilac
  11. Japanese tree lilacs

Source and license

Adapted from Wiktionary: Japanese theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Japanese theorem.” Word.ws, https://word.ws/japanese_theorem. Based on Wiktionary, CC BY-SA 4.0.