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Circles:
r = a sin (ฯด) or r = a cos (ฯด)
Limacons:
r = a +- b cos (ฯด) or r = a +- b sin (ฯด)
Roses:
r = a sin n(ฯด) or r = a cos n(ฯด)
Lemniscates:
rยฒ = aยฒcos2(ฯด) or rยฒ = aยฒsin2(ฯด)
Spiral of Archimedes:
r = aฯด + b