ALL meanings of hyperbola
hy·per·bo·la
H h - noun hyperbola geometry: plane curve with two branches 1
- noun hyperbola A symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone. 1
- noun hyperbola 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: x 2 /a 2 − y 2 /b 2 = ±1. 1
- noun hyperbola 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 0
- noun hyperbola the path of a point that moves so that the difference of its distances from two fixed points, the foci, is constant; curve formed by the section of a cone cut by a plane more steeply inclined than the side of the cone 0