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17 Mar 2020
: Hypocloid. A circle 
of radius 
rolls on the inside of a larger circle of radius 
centered at the origin. Let 
be a fixed point on the smaller circle, with initial position at the point 
as shown in the figure. The curve traced out by is called a hypocycloid.
Show that parametric equations for the hypocycloid are
: Hypocloid. A circle of radius rolls on the inside of a larger circle of radius centered at the origin. Let be a fixed point on the smaller circle, with initial position at the point as shown in the figure. The curve traced out by is called a hypocycloid.
Show that parametric equations for the hypocycloid are
Hubert KochLv2
29 May 2020
are centered at the origin, as shown in the figure.
as the parameter. (Note that the line segment 
is always tangent to the larger circle.)
of Exercise 63 rolls on the outside of the larger circle, the curve traced out by 
is stationary, and for every 
. The curve traced out by 
is called the longbow curve. Find parametric equations for this curve.
