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1 точки, сопряжённые относительно окружности
Mathematics: inversive pointУниверсальный русско-английский словарь > точки, сопряжённые относительно окружности
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Inversive distance — (usually denoted as δ ) is a way of measuring the distance between two non intersecting circles α and β . If α and β are inverted with respect to a circle centered at one of the limiting points of the pencil of α and β , then α and β will invert… … 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
Inversive ring geometry — In mathematics, inversive ring geometry is the extension to the context of associative rings, of the concepts of projective line, homogeneous coordinates, projective transformations, and cross ratio, concepts usually built upon rings that happen… … Wikipedia
List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… … Wikipedia
Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… … 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
Generalised circle — A generalized circle, also referred to as a cline or circline , is a straight line or a circle. The concept is mainly used in inversive geometry, because straight lines and circles have very similar properties in that geometry and are best… … 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 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
HEBREW GRAMMAR — The following entry is divided into two sections: an Introduction for the non specialist and (II) a detailed survey. [i] HEBREW GRAMMAR: AN INTRODUCTION There are four main phases in the history of the Hebrew language: the biblical or classical,… … Encyclopedia of Judaism
Apollonian circles — Some Apollonian circles. Every blue circle intersects every red circle at a right angle. Every red circle passes through the two points, C and D, and every blue circle separates the two points. This article discusses a family of circles sharing a … Wikipedia