- 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...
-
means Elliptic integral K(m)
Epitrochoid Epicycloid (special case of the
epitrochoid) Limaçon (special case of the
epitrochoid)
Hypotrochoid Hypocycloid...
- toy that
produces geometric patterns (specifically,
hypotrochoids and
epitrochoids) on paper. The
origin of the
Spirograph pattern is unknown. "IC 418"...
- 19/5 k = 5.5 = 11/2 k = 7.2 = 36/5 The
epicycloid is a
special kind of
epitrochoid. An
epicycle with one cusp is a cardioid, two
cusps is a nephroid. An...
