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Cyclic Polygons and Their Euler Lines

Published online by Cambridge University Press:  03 November 2016

S. N. Collings
S. N. Collings*
Affiliation:
35 Langley Oaks Avenue, Sanderstead,Surrey
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Extract

Given points P1 P2, …, Pn on a circle centre 0, they have a centroid G. We shall show that they have also a generalised orthocentre H, a generalised nine point circle with centre N, and that OGNH lie on a line forming a harmonic range.

Type
Research Article
Information
The Mathematical Gazette , Volume 51 , Issue 376 , May 1967 , pp. 108 - 114
Copyright
Copyright © Mathematical Association 1967 

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