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Conic Double Point

Example plots

Example plots Circle

Example plots Ellipse

Example plots Hyperbola

Equations

circle | x(t) = a cos(t)
y(t) = a sin(t)
ellipse | x(t) = a cos(t)
y(t) = b sin(t)
hyperbola | x(t) = a sec(t)
y(t) = b tan(t)
parabola | x(t) = 2 a t
y(t) = a t^2
rectangular hyperbola | x(t) = a sec(t)
y(t) = a tan(t)

circle | x^2 + y^2 = a^2
ellipse | x^2/a^2 + y^2/b^2 = 1
hyperbola | x^2/a^2 - y^2/b^2 = 1
parabola | y = x^2/(4 a)
rectangular hyperbola | x^2 - y^2 = a^2

circle | r(θ) = a
ellipse | r(θ) = (a b)/sqrt((b^2 - a^2) cos^2(θ) + a^2)
hyperbola | r(θ) = (a b)/sqrt(b^2 cos^2(θ) - a^2 sin^2(θ))
parabola | r(θ) = 4 a tan(θ) sec(θ)
rectangular hyperbola | r(θ) = a sqrt(sec(2 θ))

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