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The Cissoid of Diocles
Published online by Cambridge University Press: 03 November 2016
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.
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- Copyright © Mathematical Association 1957
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