Characteristic property of hyperbola
- Author:
- Przemysław Kajetanowicz
Suppose and . The set of all points such that , where is a positive constant, is a hyperbola centered at the origin. The equation of the curve is
= 1
where .
Conversely, the equation = 1 represents a hyperbola centered at the origin, whose foci are and , where .
More generally, the equation = 1 represents a hyperbola centered at , whose foci are and , where .