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Catalan Trisectrix
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Alternate names
Equations
x(t) = a (1 - 3 t^2) y(t) = a t (3 - t^2)
(a - x) (8 a + x)^2 = 27 a y^2
r(θ) = a sec^3(θ/3)
Properties
algebraic | cubic | parametric | polar | trisectrix
Basic properties
d = 3