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From nested Miquel triangles to Miquel distances

Published online by Cambridge University Press:  01 August 2016

Michael De Villiers
Michael De Villiers*
Affiliation:
Mathematics Education, University of Durban-Westville, South Africa, email: profmd@mweb.co.za http://mzone.mweb.co.za/residents/profmd/homepage.html
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Extract

This article presents interesting generalisations of three well-known results related to pedal triangles and distances, and the Simson line.

The triangle whose vertices are the feet of the perpendiculars from a point P inside a triangle ABC to each of its sides AB, BC and AC, is called a pedal triangle.

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Type
Articles
Information
The Mathematical Gazette , Volume 86 , Issue 507 , November 2002, pp. 390 - 395
Copyright
Copyright © The Mathematical Association 2002

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References

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