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θ = a
Line
r = a sec θ
Line
r = a csc θ
Line
r = a
Circle
r = a sin θ
Circle
r = a cos θ
Circle
r = a + a cos θ
Cardioid
r = a + a sin θ
Cardioid
r = a + b cos θ, |a| < |b|
Inner Loop Limacon
r = a + b sin θ, |a| < |b|
Inner Loop Limacon
r = a + b cos θ, |a| > |b|
No Loop Limacon
r = a + b sin θ, |a| > |b|
No Loop Limacon
r = a cos (nθ)
Rose
r = a sin (nθ)
Rose
r² = a cos (2θ)
Lemniscate
r² = a sin (2θ)
Lemniscate
r = aθ, θ >= 0 or θ <= 0
Spiral