Translation guide
The highest point or the point where lines or edges meet. In mathematics, it refers to a corner point of a geometric shape or graph. In anatomy, it's the top of the head. In everyday language, it can mean the peak or summit of something.
vertex (geometry)
vertex (head)
The point where two or more lines, edges, or curves meet in geometry or graph theory.
The standard term for 'vertex' in geometry and graph theory. Used for corners of polygons, polyhedra, and nodes in graphs.
Draw a perpendicular line from the vertex of the triangle to the base.
The crown or highest point of the skull.
The highest point or summit of something, such as a career, mountain, or achievement.
The point on the celestial sphere directly overhead, or a point where the prime vertical meets the horizon.
Both mean 'peak' or 'vertex', but 頂点 is more general and can be used for physical points (geometry, mountains) and abstract peaks. 絶頂 is more often used for the climax of a state or emotion, like 'the height of fame' or 'the peak of pleasure'.
vertex of power
The vertex of the parabola is at (0,0).
グラフ理論では、ノードを頂点と呼ぶ。
In graph theory, nodes are called vertices.
Specifically refers to the top of the head, the vertex of the skull.
I feel pain at the vertex of my head.
Refers to the hair whorl at the crown, often used colloquially for the top of the head.
The area around my vertex itches.
Used metaphorically for the peak or apex of something, like a career or mountain.
He finally reached the vertex of power.
Stand at the vertex of Mt. Fuji.
Often used for the climax or peak of an experience, career, or emotion. Can have a nuance of 'zenith'.
His popularity reached its vertex.
Literally 'highest point', a straightforward term for vertex in a non-technical sense.
The vertex of this mountain is 3000 meters above sea level.
The astronomical term for zenith, the point directly overhead. Sometimes used for vertex in celestial navigation.
The sun reaches the vertex.
快楽の絶頂
vertex of pleasure
While 頂点 can mean 'top', in anatomy, the specific term for the vertex of the head is 頭頂 (とうちょう). Using 頂点 for the head might be understood but sounds odd.
彼は頭頂に禿げがある。
He has a bald spot on his vertex.