- In geometry, an
epicycloid (also
called hypercycloid) is a
plane curve produced by
tracing the path of a
chosen point on the cir****ference of a circle—called...
- nephros) 'kidney-shaped') is a
specific plane curve. It is a type of
epicycloid in
which the
smaller circle's
radius differs from the
larger one by a...
- the fact that SU(k) fits
inside SU(k+1) as a
subgroup to
prove that an
epicycloid with k
cusps moves snugly inside one with k+1 cusps. The
evolute of a...
- the epitrochoid.)
Special cases include the limaçon with R = r and the
epicycloid with d = r. The
classic Spirograph toy
traces out
epitrochoid and hypotrochoid...
- x 0 , y 0 ) {\displaystyle (x_{0},y_{0})} . The
special cases of the
epicycloid and hypocycloid,
generated by
tracing the
locus of a
point on the perimeter...
-
making it an
example of a hedgehog.
Cardioid – an
epicycloid with one cusp
Nephroid – an
epicycloid with two
cusps Deltoid – a
hypocycloid with three...
-
reducing friction and wear).
Their gear
tooth profile is
based on the
epicycloid and
hypocycloid curves,
which are the
curves generated by a
circle rolling...
-
geometry of curves, a
roulette is a kind of curve,
generalizing cycloids,
epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and involutes...
-
around a
fixed circle of the same radius. It can also be
defined as an
epicycloid having a
single cusp. It is also a type of
sinusoidal spiral, and an inverse...
- fixed, then a
point on the
pitch circle of the
planet gear
traces an
epicycloid curve. An
epicyclic gear
train can be ****embled so the
planet gear rolls...
