.
Seven circles theorem
In geometry, the seven circles theorem is a theorem about a certain arrangement of seven circles in the Euclidean plane. Specifically, given a chain of six circles all tangent to a seventh circle and each tangent to its two neighbors, the three lines drawn between the six points of tangency with the seventh circle all pass through the same point. Though elementary in nature, this theorem was not discovered until 1974 (by Evelyn, Money-Coutts, and Tyrrell).
References
Cundy, H. Martyn (1978). "The seven-circles theorem". The Mathematical Gazette 62 (421): 200–203. JSTOR 3616692.
Evelyn, C. J. A.; Money-Coutts, G. B.; Tyrrell, J. A. (1974). The Seven Circles Theorem and Other New Theorems. London: Stacey International. ISBN 978-0950330402.
Wells, D. (1991). The Penguin Dictionary of Curious and Interesting Geometry. New York: Penguin Books. pp. 227–228. ISBN 0-14-011813-6.
External links
Weisstein, Eric W., "Seven Circles Theorem" from MathWorld.
Java applet by Michael Borcherds showing The Seven Circles Theorem made using GeoGebra.
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
Retrieved from "http://en.wikipedia.org/"
All text is available under the terms of the GNU Free Documentation License
