| 释义 |
WordReference Random House Unabridged Dictionary of American English © 2024hy•per•bo•la (hī pûr′bə lə),USA pronunciation n. [Geom.]- the set of points in a plane whose distances to two fixed points in the plane have a constant difference;
a curve consisting of two distinct and similar branches, formed by the intersection of a plane with a right circular cone when the plane makes a greater angle with the base than does the generator of the cone. Equation: x2⁄ a2 − y2⁄ b2 = ±1. See diag. under conic section.
- Greek hyperbolé̄ the geometrical term, literally, excess. See hyperbole
- Neo-Latin
- 1660–70
Collins Concise English Dictionary © HarperCollins Publishers:: hyperbola /haɪˈpɜːbələ/ n ( pl -las, -le / -ˌliː/)- a conic section formed by a plane that cuts both bases of a cone; it consists of two branches asymptotic to two intersecting fixed lines and has two foci. Standard equation: x²/a² – y²/b² = 1 where 2a is the distance between the two intersections with the x-axis and b = a√(e² – 1), where e is the eccentricity
Etymology: 17th Century: from Greek huperbolē, literally: excess, extravagance, from hyper- + ballein to throw |