(ちょうてん)

ちょうてん
noun
peak; vertex; apex
1. vertex; apex (geometry)
The point where two or more lines meet, such as the corner of a polygon.
三角形(さんかくけい)には(みっ)つの頂点(ちょうてん)がある。
A triangle has three vertices.
2. peak; summit; pinnacle
The highest point or greatest level of something.
(かれ)人気(にんき)頂点(ちょうてん)にいる。
He is at the peak of his popularity.
興奮(こうふん)頂点(ちょうてん)(たっ)した。
The excitement reached its climax.

頂点(ちょうてん) has both geometric and figurative meanings.

GEOMETRIC SENSE:

  • The point where edges meet in a polygon or polyhedron
  • 頂点(ちょうてん)(かく): vertex angle

FIGURATIVE SENSE:

  • The highest point of achievement, fame, or intensity
  • 頂点(ちょうてん)(たっ)する: to reach the peak
  • 頂点(ちょうてん)(きわ)める: to attain the summit