Reflective Properties of Hyperbolabola


Introduction

Rays directed toward the focus of hyperbola are reflected at the hyperbolic mirror to the other focus of hyperbola.
Using this property, we can create a mirror that collects star lights in the celestial sphere.

Applet

  • Press "Start" button.
  • Press "Beam" button to shoot the beams from the circle whose center point is point B to point B.
  • The hyperbola reflects the beams.
  • Press "+f" or "-f" to change the length AB..