- In geometry,
Villarceau circles (/viːlɑːrˈsoʊ/) are a pair of
circles produced by
cutting a
torus obliquely through its
center at a
special angle. Given...
-
Villarceau or
Villarceaux may
refer to: Yvon
Villarceau, a 19th-century
French astronomer, mathematician, and
engineer Villarceau circles, a pair of circles...
- space,
except for the z-axis, is
filled with
nested tori made of
linking Villarceau circles. Here each
fiber projects to a
circle in
space (one of
which is...
- Antoine-Joseph Yvon
Villarceau (15
January 1813 – 23
December 1883) was a
French astronomer, mathematician, and engineer. He
constructed an equatorial...
- {\displaystyle T}
according the
formula derived by
French physicist Yvon
Villarceau in 1863 in his
research for
improving the
precision of clocks: 1 R − 1...
- relatives, such as the
lemniscate of Bernoulli.
Another special case is the
Villarceau circles, in
which the
intersection is a
circle despite the lack of any...
- arXiv:2003.09236. doi:10.1093/jcde/qwab018. Dorst, Leo (2019). "Conformal
Villarceau Rotors".
Advances in
Applied Clifford Algebras. 29 (44). doi:10.1007/s00006-019-0960-5...
-
Toroidal and
poloidal Torus-based
cryptography Torus knot
Umbilic torus Villarceau circles Nociones de Geometría Analítica y Álgebra Lineal, ISBN 978-970-10-6596-9...
-
circle (geometry)
Spieker circle Van
Lamoen circle Eight-point
circle of an
orthodiagonal quadrilateral Director circle Directrix circle Villarceau circles...
-
figure is
called a
vesica piscis, from Euclid. Two
circles are also
called Villarceau circles as a
plane intersection of a torus. The
areas inside one circle...
