The transformations proofs below are based on a suggested approach by Bailey et al (1974). Mathematics: Eleven to Sixteen, A Report prepared for the Mathematical Association. London: G. Bell & Sons. These proofs are not intended to replace traditional Euclidean proofs, but rather to supplement them. Research has shown that students benefit conceptually from seeing mathematical results derived and proved in different ways.
Three Circle Geometry Theorem Proofs by Transformations
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Created by Michael de Villiers, 3 October 2016.