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Parabola

Example plots

Example plots

Equations

x(t) = 2 a t y(t) = a t^2

y = x^2/(4 a)

r(θ) = 4 a tan(θ) sec(θ)

(for a parabola opening upward with vertex at the origin and semilatus rectum 2a)

Properties

algebraic | conic | parametric | quadratic

Basic properties

d = 2

Conic properties

e = 1

p = 2 a

L = 2 a

{(0, a)}

y = -a

Derived curves

evolute | semicubical parabola involute | parabola involute

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