trisectrix of Longchamps

cubic

last updated: 2003-08-01



The trisectrix of Longchamps curve is a cubic 1), which is also named the (equilateral) trefoil.

The curve is an epi spiral.

Longchamps studied the curve in 1888.

 


notes

1) With equation x (x2 - 3y2) = x2 + y2.