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