In the plane, the inverse of a point [math]P[/math] with respect to a circle with center [math]O[/math] and radius [math]r[/math] is a point [math]P'[/math] such that [math]P[/math] and [math]P'[/math] are on the same ray with an endpoint [math]O[/math], and [math]OP \cdot OP' = r^2[/math].[br][br]Explore the inverse of a point, line, circle and a polygon:[br][list][br][*]Click on a button to show/hide an object.[br][*] Move the object by pointing to it and dragging it. [br][*]Try different position of the object with respect to the circle (outside, inside, intersecting, tangent etc.)[br][/list][br]All original objects are blue and the images are red.

In the plane, the inverse of a point [math]P[/math] with respect to a circle with center [math]O[/math] and radius [math]r[/math] is a point [math]P'[/math] such that [math]P[/math] and [math]P'[/math] are on the same ray with an endpoint [math]O[/math], and [math]OP \cdot OP' = r^2[/math].[br][br]Explore the inverse of a point, line, circle and a polygon:[br][list][br][*]Click on a button to show/hide an object.[br][*] Move the object by pointing to it and dragging it. [br][*]Try different position of the object with respect to the circle (outside, inside, intersecting, tangent etc.)[br][/list][br]All original objects are blue and the images are red.