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Deltoid Evolute


DeltoidEvolute

The evolute of a deltoid

x=1/3[2cost-cos(2t)]
(1)
y=1/3[2sint-sin(2t)]
(2)

is a hypocycloid evolute for n=3

x_e=2cost-cos(2t)
(3)
y_e=2sint+sin(2t),
(4)

which is another deltoid scaled by a factor n/(n-2)=3/1=3 and rotated 1/(2·3)=1/6 of a turn.


See also

Deltoid, Deltoid Involute

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Cite this as:

Weisstein, Eric W. "Deltoid Evolute." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DeltoidEvolute.html

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