Wednesday, February 15, 2012

Plane Curves: Sinusoidal spirals (polar)


Sinusoidal spirals (polar)

Sinusoidal spirals are a family of plane curves.
For many values of a the spiral coincides with another curve:
Line (n = −1)
Circle (n = 1)
Hyperbola (n = −2)
Parabola (n = −1/2)
Cardioid (n = 1/2)
Lemniscate (n = 2)
Tschirnhausen cubic (n = −1/3)

Get copyable formulas for Sinusoidal spirals (polar) from Differential Geometry Library (MathML, TeX, Mathematica input, Maple input)


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