Trisectrix of Maclaurin

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The Trisectrix of Maclaurin for a=1
The Trisectrix of Maclaurin for a=1

The trisectrix of Maclaurin is a plane curve with equation

y^2=\frac{x^2(3a+x)}{(a-x)}

or, in polar coordinates,

r = asecθ − 4acosθ