It can also be defined as the trajectory of a point whose distance difference from two fixed points (called focus) is constant. This fixed distance difference is twice that of A, where A is the distance from the center of hyperbola to the vertex of the nearest branch of hyperbola. A is also called the real semi-axis of hyperbola. The focal point is located on the through axis, and the middle point is called the center, which is generally located at the origin.
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In mathematics, hyperbola (Greek "π ε ρ β ο λ" literally means "transcendence" or "transcendence") is a conic curve, which is defined as two halves of a right-angled conic surface with intersecting planes. It can also be defined as the trajectory of a point whose distance difference from two fixed points (called focus) is constant.
This fixed distance difference is twice that of A, where A is the distance from the center of hyperbola to the vertex of the nearest branch of hyperbola. A is also called the semi-real axis of hyperbola. The focal points are located on the through axis, and their midpoint is called the center.
Algebraically speaking, hyperbola is a curve defined by the following formula on Cartesian plane, so all the coefficients here are real numbers, and the point pair (x, y) defined on hyperbola has more than one solution. Note that the image of two reciprocal variables on Cartesian coordinate plane is a hyperbola. Hyperbolic images are infinitely close to asymptotes, but they never intersect.