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Semicubical Parabola Involute

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SemicubicalParabolaInvolute
Semicubical parabola involute animation

For a semicubical parabola with parametric equations

x=t^2
(1)
y=at^3,
(2)

the involute is given by

x_i=(t^2)/3-8/(27a^2)
(3)
y_i=-(4t)/(9a),
(4)

which is half a parabola.

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Cite this as:

Weisstein, Eric W. "Semicubical Parabola Involute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SemicubicalParabolaInvolute.html

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