Villarceau Circles

Given an arbitrary point on a Torus, four Circles can be drawn through it. The first is in the planeof the torus and the second is Perpendicular to it. The third and fourth Circles are calledVillarceau circles.

References

Melzak, Z. A. Invitation to Geometry. New York: Wiley, pp. 63-72, 1983.

Villarceau, M. ``Théorème sur le tore.'' Nouv. Ann. Math. 7, 345-347, 1848.

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