maclaurin trisectrix

Input interpretation

Maclaurin trisectrix (plane curve)

Plot

Plot

Equations

Parametric equations

x(t) = (a (t^2 - 3))/(t^2 + 1) y(t) = (a t (t^2 - 3))/(t^2 + 1)

Cartesian equation

3 a x^2 - a y^2 + x^3 + x y^2 = 0

Polar equation

r(θ) = a (-2 cos(2 θ) - 1) sec(θ)

Properties

algebraic | cubic | parametric | polar | trisectrix

Basic properties

Algebraic degree

d = 3

Related entities

Associated people

Colin Maclaurin
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