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| CabriJava demonstration of inversion in a circle |
| If B is a circle with centre O, radius r, and P is a point other than O, the
inverse of P with respect to B is the point Q on OP with
In the picture, B is the circle of inversion. The green circle G has inverse the red circle R. The point c' is the inverse of c, the centre of G - it is not the centre of R! |
You can move or alter G by dragging its centre or a point on G itself.
Observe that, if we move G so that it almost passes through O, the R is almost straight.
In the original cabri .fig, you actually get the line when O is on G, but not in the java version.
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