- 175. ISBN 978-0-486-60288-2. [1]
Epicycloids and
Blaschke products by
Chunlei Cao,
Alastair Fletcher,
Zhuan Ye
Epicycloid Evolute - from
Wolfram MathWorld...
- easy to
shape and
polish with hand tools. The
addenda are not
complete epicycloids, but
portions of two
different ones
which intersect at a point, resulting...
-
treatise on
epicycloids, 1694; one on roulettes, 1702; and, lastly,
another on conchoids, 1708. His
works on
conic sections and
epicycloids were based...
-
geometry of curves, a
roulette is a kind of curve,
generalizing cycloids,
epicycloids, hypocycloids, trochoids, epitrochoids, hypotrochoids, and involutes...
- Lávička,
Miroslav (2010), "Hermite
interpolation by
hypocycloids and
epicycloids with
rational offsets",
Computer Aided Geometric Design, 27 (5): 405–417...
- geometry. Dürer's
geometric constructions include helices,
conchoids and
epicycloids. He also
draws on Apollonius, and
Johannes Werner's
Libellus super viginti...
-
these ****ociated
curves of the parabola, the
logarithmic spiral and
epicycloids around 1692. The
lemniscate of
Bernoulli was
first conceived by Jacob...
- 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...
- 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...
-
positive integer, the
central region in each of
these sets is
always an
epicycloid of ( d − 1 ) {\displaystyle (d-1)} cusps. A
similar development with negative...
