Logarithmic Spiral Involute
LogarithmicSpiralInvolute
Logarithmic spiral involute animation
For a logarithmic spiral with parametric equations
x = e^(bt)cost
(1)
y = e^(bt)sint,
(2)
the involute is given by
x = [画像:(e^(bt)sint)/b]
(3)
y = [画像:-(e^(bt)cost)/b,]
(4)
which is another logarithmic spiral scaled by a factor of 1/b and rotated by an angle pi/2.
See also
Involute, Logarithmic SpiralExplore with Wolfram|Alpha
WolframAlpha
Cite this as:
Weisstein, Eric W. "Logarithmic Spiral Involute." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LogarithmicSpiralInvolute.html