demonstration+project

Ellipses and Hyperbolas with the Same Focal Points This Demonstration shows that ellipses and hyperbolas with the same focal points (here placed at the points and  ) always cross each other orthogonally. The variables used for the curves are the eccentricities, for the ellipses and  for the hyperbolas. So when I move e1, the cycle will become bigger or smaller, but the minum radius is from X1 to X-1. When we move e2, the two line will became outside or inside. This is the picture after we move it, we can see how different between every moved. Also this is the minum or maxnum of e1 and e2.