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Curtate Cycloid Evolute

The Evolute of the Curtate Cycloid

$\displaystyle x$ $\textstyle =$ $\displaystyle a\phi-b\sin\phi$ (1)
$\displaystyle y$ $\textstyle =$ $\displaystyle a-b\cos\phi.$ (2)

is given by
$\displaystyle x$ $\textstyle =$ $\displaystyle {a[-2b\phi+2a\phi\cos\phi-2a\sin\phi+b\sin(2\phi)]\over 2(a\cos\phi-b)}$ (3)
$\displaystyle y$ $\textstyle =$ $\displaystyle {a(a-b\cos\phi)^2\over b(a\cos\phi-b)}.$ (4)




© 1996-9 Eric W. Weisstein
1999-05-25