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Inversion of a circle

In the following sketch, the circle centered at *C* is inverted in
the circle centered at *A*. The image of *P* under this
inversion is *P'*. Move *P* around the circle, and see
how *P'* changes. Move *C* and *D* to change the circle
being inverted. What happens to the inverse circle as *D* gets
close to *A*? This is why we sometimes think of lines as circles
with infinite radius. Write a sketch which mimics this one.
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This java applet was produced using JavaSketchpad. The following
is the maker's beta on this product:

This is a prototype of **JavaSketchpad**,
a World-Wide-Web component of *The
Geometer's Sketchpad.* Copyright ©1990-1998 by Key Curriculum
Press, Inc. All rights reserved. Portions of this work were funded by the
National Science Foundation (awards DMI 9561674 & 9623018).

Arthur's Home Page

This page was created November 26th, 1998.

URL: http://www.nevada.edu/~baragar/geom/Simson.htm