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Successive Pedal Triangles

Published online by Cambridge University Press:  03 November 2016

D. G. Taylor
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Extract

Starting with any triangle Δ ≡ ABC, let Δ1 ≡ A1B1C1 be its pedal, Δ2≡A2B2C2 the pedal of Δ1 and so on indefinitely Since the circumradius Rn of Δn is equal to 1/2Rn-1, we may expect a steady contraction towards some definite limiting point. It is proposed to inquire into the position of this point.

Type
Research Article
Information
The Mathematical Gazette , Volume 30 , Issue 288 , February 1946 , pp. 11 - 13
Copyright
Copyright © Mathematical Association 1946 

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References

* Cp. “Angles of Pedal Triangles”, C. O. Tuckey, Mathematical Gazette, XVII, 1933), p. 48. I am indebted to the Editor for this reference.