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28 Mar 2020
: Epicycloid. If the circle 
of Exercise 63 rolls on the outside of the larger circle, the curve traced out by 
is called an epicycloid. Find parametric equations for the epicycloid.
: Epicycloid. If the circle of Exercise 63 rolls on the outside of the larger circle, the curve traced out by is called an epicycloid. Find parametric equations for the epicycloid.
Bunny GreenfelderLv2
27 May 2020
of radius 
rolls on the inside of a larger circle of radius 
centered at the origin. Let 
as shown in the figure. The curve traced out by 
, the hypocycloid is called an asteroid. Show that in this case the parametric equations can be reduced to
and 
), then the curve traced out by