- Mobius geometry
- Математика: геометрия Мебиуса
Универсальный англо-русский словарь. Академик.ру. 2011.
Универсальный англо-русский словарь. Академик.ру. 2011.
Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − … Wikipedia
Möbius strip — This article is about the mathematical object. For musical group, see Mobius Band (band). A Möbius strip made with a piece of paper and tape. If an ant were to crawl along the length of this strip, it would return to its starting point having… … Wikipedia
Möbius plane — A Möbius plane or inversive plane is a particular kind of plane geometry, built upon some affine planes by adding one point, called the ideal point or point at infinity. In a Möbius plane straight lines are a special case of circles; they are the … Wikipedia
Möbius, August Ferdinand — born Nov. 17, 1790, Schulpforta, Saxony died Sept. 26, 1868, Leipzig German mathematician and theoretical astronomer. He began teaching at the University of Leipzig in 1815, and established his reputation with many publications. His mathematical… … Universalium
Möbius configuration — Example of Möbius configuration; the face planes of red tetrahedron are shown on the top of the image; the blue one on the bottom. The vertex coordinates of the red tetrahedron are: (0,0,0),(0,0,1),(0,1,0),(1,0,0). The vertex coordinates of the… … Wikipedia
Möbius , August Ferdinand — (1790–1868) German mathematician Möbius worked mainly on analytical geometry, topology, and theoretical astronomy. He was born at Schulpforta in Germany and held a chair in theoretical astronomy at Leipzig, making numerous contributions to the… … Scientists
Möbius ladder — Two views of the Möbius ladder M16. In graph theory, the Möbius ladder Mn is a cubic circulant graph with an even number n of vertices, formed from an n cycle by adding edges (called rungs ) connecting opposite pairs of vertices in the cycle. It… … Wikipedia
Möbius-Ebene — Eine Möbius Ebene, benannt nach August Ferdinand Möbius, ist eine Struktur in der Inzidenzgeometrie. Die ursprüngliche Motivation für die (axiomatische) Definition von Möbius Ebenen ist die Struktur, die man erhält, wenn man die Inzidenzrelation… … Deutsch Wikipedia
Conformal geometry — In mathematics, conformal geometry is the study of the set of angle preserving (conformal) transformations on a space. In two real dimensions, conformal geometry is precisely the geometry of Riemann surfaces. In more than two dimensions,… … Wikipedia
Inversive geometry — Not to be confused with Inversive ring geometry. In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion. These… … Wikipedia
Lie sphere geometry — is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by Sophus Lie in the nineteenth century. [The definitive modern textbook on Lie sphere geometry is Harvnb|Cecil|1992 … Wikipedia