Math basic curves

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7 Terms

1
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Circle

R = asinΘ or R = a

2
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Cardioid

R = a ± asinΘ

3
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(even) 4-Leaf Rose

R = asin(2Θ)

4
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(odd) 3-Leaf Rose

R = asom(3Θ)

5
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Limacon (If a<b, the graph has an extra loop)

R = a ± bsinΘ

6
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Lemniscate

R² = a²sin(2Θ)

7
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Spiral of Archimedes

R = Θ