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David

Darling

Maclaurin trisectrix

trisectrix

 

The Maclaurin trisectrix is a curve first studied by Colin Maclaurin in 1742 with a view to solving one of the great geometric problems of antiquity – trisecting an angle. The Maclaurin trisectrix results from the Cartesian equation

 

    y2(a + x) = x2(3a - x).

 

It is an anallagmatic curve that intersects itself at the origin.