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Proof without words: four circles
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2005-12-01
https://doi.org/10.5485/TMCS.2005.0097
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Copyright (c) 2005 Ángel Plaza
This work is licensed under a Creative Commons Attribution 4.0 International License.
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Plaza, Ángel. (2005). Proof without words: four circles. Teaching Mathematics and Computer Science, 3(2), 307-309. https://doi.org/10.5485/TMCS.2005.0097
Abstract
Theorem. Let O, P and Q be three points on a line, with P lying between O and Q. Semicircles are drawn on the same side of the line with diameters OP, PQ and OQ. An arbelos is the figure bounded by these three semicircles. Draw the perpendicular…