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A Generalisation of Simson’s Theorem

Published online by Cambridge University Press:  03 November 2016

S. Zylbertrest
S. Zylbertrest*
Affiliation:
77 Rue de Turbigo, Paris 3e
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Extract

Let w be a point and ABCDEF a polygon, convex or not, which we call (P). Projecting w orthogonally on the sides AB, BC, CD, DE, EF, FA of (P), and joining the respective projections, we obtain the polygon A1B1C1D1E1F1, called (P1) [see Figure 1]. We call (P1) the first pedal of w with respect to (P).

Type
Research Article
Information
The Mathematical Gazette , Volume 45 , Issue 351 , February 1961 , pp. 30 - 37
Copyright
Copyright © Mathematical Association 1961

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