A sinusoidal spiral is a curve of the form
|
(1)
|
with rational, which is not a true spiral.
Sinusoidal spirals were first studied by Maclaurin. Special cases are given in the
following table.
The curvature and tangential
angle are
See also
Sinusoidal Spiral Inverse Curve,
Sinusoidal Spiral Pedal Curve,
Spiral
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References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, p. 184, 1972.Lockwood,
E. H. A
Book of Curves. Cambridge, England: Cambridge University Press, p. 175,
1967.MacTutor History of Mathematics Archive. "Sinusoidal Spirals."
http://www-groups.dcs.st-and.ac.uk/~history/Curves/Sinusoidal.html.Referenced
on Wolfram|Alpha
Sinusoidal Spiral
Cite this as:
Weisstein, Eric W. "Sinusoidal Spiral."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SinusoidalSpiral.html
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