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Clifford's circle chain theorem with n=2 circles

Following Penrose' notation, I omit letters "c" for circles and "P" for points, to avoid cluttering. Here we see two (n=2)
circles c1, c2 through O intersecting in P12.

The red points can be moved interactively with the mouse pointer.

Taking O to infinity changes the above into

The two blue straight lines are now two circles with infinite radius also intersecting at infinity O.

[ circle chain theorem | GA with Cinderella ]

Soli Deo Gloria. Created with Cinderella
by Eckhard Hitzer (Fukui).