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Circles:
r = a sin (ϴ) or r = a cos (ϴ)
Limacons:
r = a +- b cos (ϴ) or r = a +- b sin (ϴ)
Roses:
r = a sin n(ϴ) or r = a cos n(ϴ)
Lemniscates:
r² = a²cos2(ϴ) or r² = a²sin2(ϴ)
Spiral of Archimedes:
r = aϴ + b