Hyperbolas

Page: 1 | 2 | 3 | View All
A ray of light projected from one focus and reflected in a normal to the hyperbola will reflect to the other focus.
Download .gx File Expression Count: 2
Given two foci, the hyperbola can be defined as the locus of points, the difference of whose distance to the foci is constant.
Download .gx File Expression Count: 1
Given a point (the focus) and a line (the directrix), we examine the locus of the points whose distance from the focus is k times the distance from th...
Download .gx File Expression Count: 2
We see that if we have the hyperbola and the conjugate hyperbola, then the points at parameter locations t on one hyperbola and t on the other lie on...
Download .gx File Expression Count: 2
We see the coordinates of the point at parametric location t on the hyperbola.
Download .gx File Expression Count: 1
For the Hyperbola, we see that each axis intersection depends on only one parameter of the curve, the x-axis on a, the y-axis on b:
Download .gx File Expression Count: 2
We look at the locus of the intersections of the tangents at the end of the diameter and the focal chord through a point. This locus is a circle with ...
Download .gx File Expression Count: 1
The equivalent to defining an ellipse with the equation (x^2/a^2)+(y^2/b^2)=1 , is to define a hyperbola with equation (x^2/a^2)-(y^2/b^2)=1 . We al...
Download .gx File Expression Count: 4
Google Analytics Alternative