A curtate cycloid is the curve traced by a point at a distance
h
from the center of a circle of radius
R
rolling along the
x
-axis, where
x=R\theta -hsin(\theta ),y=R-hcos(\theta )hh. Show that the curtate cycloid has parametric equations x=R\theta -hsin(\theta ),y=R-hcos(\theta ). See the figure below (the distance between the red and black dots is h ):

Question

A curtate cycloid is the curve traced by a point at a distance

h

from the center of a circle of radius

R

rolling along the

x

-axis, where

x=R\theta -hsin(\theta ),y=R-hcos(\theta )hh. Show that the curtate
cycloid has parametric equations x=R\theta -hsin(\theta ),y=R-hcos(\theta ). See the
figure below (the distance between the red and black dots is h ):

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