homothetic triangles

homothetic triangles
мат.
гомотетичные треугольники

English-Russian scientific dictionary. 2008.

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  • Homothetic center — In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation/contraction of one another. If the center is external , the …   Wikipedia

  • Orthocentric system — Orthocentric system. Notice any point is the orthocenter of the triangle formed by the other three. In geometry, an orthocentric system is a set of four points in the plane one of which is the orthocenter of the triangle formed by the other three …   Wikipedia

  • Morley's trisector theorem — In plane geometry, Morley s trisector theorem states that in any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle, called the Morley triangle. The theorem was discovered in 1899 by Anglo… …   Wikipedia

  • Nine-point circle — The nine points In geometry, the nine point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant points defined from the triangle. These nine points are: The midpoint of each …   Wikipedia

  • Similarity (geometry) — Geometry = Two geometrical objects are called similar if one is congruent to the result of a uniform scaling (enlarging or shrinking) of the other. One can be obtained from the other by uniformly stretching , possibly with additional rotation,… …   Wikipedia

  • Proportionality (mathematics) — This article is about proportionality, the mathematical relation. For other uses of the term, see Proportionality (disambiguation). y is directly proportional to x. In mathematics, two variable quantities are proportional… …   Wikipedia

  • Johnson circles — In geometry, a set of Johnson circles comprise three circles of equal radius r sharing one common point of intersection H . In such a configuration the circles usually have a total of four intersections (points where at least two of them meet):… …   Wikipedia

  • Altitude (triangle) — Orthocenter and Orthocentre redirect here. For the orthocentric system, see Orthocentric system. Three altitudes intersecting at the orthocenter In geometry, an altitude of a triangle is a straight line through a vertex and perpendicular to (i.e …   Wikipedia

  • Darij Grinberg — (* November 5th, 1988 in Moscow) is a German Russian mathematician known for his work on triangle geometry.Darij Grinberg proved some properties of certain points in triangles, for example the Kosnita point. Furthermore, he discovered some new… …   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

  • Radical axis — This article is about the radical axis used in geometry. For the animation studio, see Radical Axis (studio). Figure 1. Illustration of the radical axis (red line) of two given circles (solid black). For any point P (blue) on the radical axis, a… …   Wikipedia


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