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Droz-Farny constructions

Published online by Cambridge University Press:  23 January 2015

John Silvester*
Affiliation:
Department of Mathematics, King's College, Strand, London WC2R 2LS, e-mail: jrs@kcl.ac.uk
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Notation: If A, B are points, then AB denotes the line AB rather than just the segment from A to B, unless stated otherwise. If l, m are lines, then their meet is denoted l m. The circle through points A, B and C (the circumcircle of ΔABC) is denoted ⊙ABC.

Given ΔABC, let the points Xi, Yi, Zi , lie on BC, CA, AB, respectively, for i = 1, 2, 3; that is, three distinct points on each side of the triangle, and suppose

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Copyright © The Mathematical Association 2012

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