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two triangles theorem

См. также в других словарях:

  • Pythagorean theorem — See also: Pythagorean trigonometric identity The Pythagorean theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) …   Wikipedia

  • Desargues' theorem — Perspective triangles. Corresponding sides of the triangles, when extended, meet at points on a line called the axis of perspectivity. The lines which run through corresponding vertices on the triangles meet at a point called the center of… …   Wikipedia

  • Desargues's theorem — Geom. the theorem that if two triangles are so related that the lines joining corresponding vertices meet in a point, then the extended corresponding lines of the two triangles meet in three points, all on the same line. [named after G.… …   Universalium

  • Napoleon's theorem — In mathematics, Napoleon s theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward, or all inward, the centres of those equilateral triangles themselves form an equilateral triangle. The… …   Wikipedia

  • Japanese theorem for concyclic quadrilaterals — The Japanese theorem states that the centers of the incircles of certain triangles inside a concyclic quadrilateral are vertices of a rectangle.Triangulate an arbitrary concyclic quadrilateral by its diagonals, this yields four overlapping… …   Wikipedia

  • desargues's theorem — dāˈzärgz noun Usage: usually capitalized D Etymology: after Gérard Desargues died 1662 French mathematician : a theorem in geometry: if the junction lines of corresponding vertices of two triangles are concurrent the junction points of the… …   Useful english dictionary

  • Special right triangles — Two types of special right triangles appear commonly in geometry, the angle based and the side based (or Pythagorean) triangles. The former are characterised by integer ratios between the triangle angles, and the latter by integer ratios between… …   Wikipedia

  • Ramsey's theorem — This article goes into technical details quite quickly. For a slightly gentler introduction see Ramsey theory. In combinatorics, Ramsey s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple… …   Wikipedia

  • Menelaus' theorem — Menelaus theorem, case 1: line DEF passes inside triangle ABC Menelaus theorem, named for Menelaus of Alexandria, is a theorem about triangles in plane geometry. Given a triangle ABC, and a transversal line that crosses BC, AC and AB at points D …   Wikipedia

  • Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane …   Wikipedia

  • Pick's theorem — Given a simple polygon constructed on a grid of equal distanced points (i.e., points with integer coordinates) such that all the polygon s vertices are grid points, Pick s theorem provides a simple formula for calculating the area A of this… …   Wikipedia

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