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Cycloid to Involute & v.v.
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Narasimham
May 14, 2008, 8:52:04 AM5/14/08
to geometry...@moderators.isc.org
A cycloid is the locus of a point on a rigid circle rolling on a
fixed rigid straight edge, and,
an involute is the locus of a point on a rigid straight edge rolling
on a fixed rigid circle.
fixed rigid straight edge, and,
an involute is the locus of a point on a rigid straight edge rolling
on a fixed rigid circle.
So, find the parameterization transformation of an involute starting
from the standard form of a cycloid and vice-versa. I believe this is
possible due to arc length/rotation linearity in corresponding
situations.
With Regards,
Narasimham
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