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r = a + bcos0, a/b <1
limacon with inner loop
r = a + bcos0, a = b
cardioid
r = a + bcos0, 1 < a/b < 2
limacon, dimple
r = a + bcos0, a/b >= 2
convex limacon
r = acosn0, n odd
rose curve with n petals
r = acosn0, n even
rose curve 2n petals
r = acos0
circle oriented on x axis
r = asin0
circle oriented on y axis
r = asec0
line where x = a
r = acsc0
line where y = a
0 = pi/a
line through orgin