How to construct a hyperbola
A hyperbola is the set of all points in the plane for which the absolute value of the difference of the distances to two fixed points and (the foci) is a constant. This constant equals the distance between the vertices of the hyperbola. In the applet below points , and are points on one line, so
Drag point along the line or use the animation button to construct points from the hyperbola.
Click the checkbox to see the construction.
Drag or . What happens when ?