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The Cissoid of Diocles

Published online by Cambridge University Press:  03 November 2016

J. P. McCarthy
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Extract

The polar equation of the parabola y2=8ax, referred to the origin of coordinates as pole is

r sin2θ = 8a cos θ

or

Inverting with the pole as centre of inversion and 4a as the radius of inversion we find that the equation to the inverse curve is

or r cos θ = 2a sin2θ

or r = 2a sin θ tan θ.

Type
Research Article
Information
The Mathematical Gazette , Volume 41 , Issue 336 , May 1957 , pp. 102 - 104
Copyright
Copyright © Mathematical Association 1957

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