CIRCLES3 forms: (0 to 2π)
r=asinϑ radius r, centered along y-axis r=acosϑ radius r, centered along x-axis r=a radius a, centered on origin ROSE CURVESwhere a and n are not equal to 0.
n is odd: whole curve generated from 0 to π, n petals n is even: whole curve generated from 0 to 2π, 2n petals |
CARDIOIDS2 forms: (0 to 2π)
The dimple is on the origin.
1st equation: symmetrical about x-axis 2nd equation: symmetrical about y-axis LEMNISCATESwhere a is not equal to 0.
Involving cos: symmetrical about an axis Involving sin: symmetrical about y=-x or y=x |
LIMACONS3 forms: from 0 to 2π
INNER LOOP
DIMPLED
CONVEX
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