- in the once po****r
geocentric system of
deferents and
epicycles are
epitrochoids with d > r , {\displaystyle d>r,} for both the
outer planets and the...
- curve,
generalizing cycloids, epicycloids, hypocycloids, trochoids,
epitrochoids, hypotrochoids, and involutes. On a
basic level, it is the path traced...
-
roulette curves of the
variety technically known as
hypotrochoids and
epitrochoids. The well-known toy
version was
developed by
British engineer Denys Fisher...
-
German painter and
German Renaissance theorist Albrecht Dürer
described epitrochoids in 1525, and
later Roemer and
Bernoulli concentrated on some specific...
-
family of
curves called centered trochoids; more specifically, they are
epitrochoids. The
cardioid is the
special case in
which the
point generating the roulette...
- The
orbits of
planets in this
system are
similar to
epitrochoids, but are not
exactly epitrochoids because the
angle of the
epicycle is not a
linear function...
- An
interpolation of a
finite set of
points on an
epitrochoid. The
points in red are
connected by blue
interpolated spline curves deduced only from the...
-
around ( x 0 , y 0 ) {\displaystyle (x_{0},y_{0})} (the hypotrochoid/
epitrochoid case), x ′ = x 0 + r 2 cos ( ω 2 t + ϕ 2 ) , y ′ = y 0 + r 2 sin...
- Tusi couple). The
classic Spirograph toy
traces out
hypotrochoid and
epitrochoid curves.
Hypotrochoids describe the
support of the
eigenvalues of some...
-
means Elliptic integral K(m)
Epitrochoid Epicycloid (special case of the
epitrochoid) Limaçon (special case of the
epitrochoid)
Hypotrochoid Hypocycloid...
