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  2. Gyroelongated pentagonal rotunda - Wikipedia

    en.wikipedia.org/wiki/Gyroelongated_pentagonal...

    In geometry, the gyroelongated pentagonal rotunda is one of the Johnson solids (J 25).As the name suggests, it can be constructed by gyroelongating a pentagonal rotunda (J 6) by attaching a decagonal antiprism to its base.

  3. Pentagonal rotunda - Wikipedia

    en.wikipedia.org/wiki/Pentagonal_rotunda

    In geometry, the pentagonal rotunda is one of the Johnson solids (J 6).It can be seen as half of an icosidodecahedron, or as half of a pentagonal orthobirotunda.It has a total of 17 faces.

  4. Integer triangle - Wikipedia

    en.wikipedia.org/wiki/Integer_triangle

    An integer triangle or integral triangle is a triangle all of whose side lengths are integers. A rational triangle is one whose side lengths are rational numbers ; any rational triangle can be rescaled by the lowest common denominator of the sides to obtain a similar integer triangle, so there is a close relationship between integer triangles ...

  5. Category:Theorems about triangles - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_about...

    10 languages. العربية ... Download as PDF; Printable version; In other projects Wikidata item; Appearance. ... Pages in category "Theorems about triangles"

  6. Modern triangle geometry - Wikipedia

    en.wikipedia.org/wiki/Modern_triangle_geometry

    Here is a definition of triangle geometry from 1887: "Being given a point M in the plane of the triangle, we can always find, in an infinity of manners, a second point M' that corresponds to the first one according to an imagined geometrical law; these two points have between them geometrical relations whose simplicity depends on the more or ...

  7. Euler line - Wikipedia

    en.wikipedia.org/wiki/Euler_line

    In geometry, the Euler line, named after Leonhard Euler (/ ˈ ɔɪ l ər / OY-lər), is a line determined from any triangle that is not equilateral.It is a central line of the triangle, and it passes through several important points determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point and the center of the nine-point circle of the triangle.

  8. Menelaus's theorem - Wikipedia

    en.wikipedia.org/wiki/Menelaus's_theorem

    Menelaus's theorem, case 1: line DEF passes inside triangle ABC. In Euclidean geometry, Menelaus's theorem, named for Menelaus of Alexandria, is a proposition about triangles in plane geometry. Suppose we have a triangle ABC, and a transversal line that crosses BC, AC, AB at points D, E, F respectively, with D, E, F distinct from A, B, C. A ...

  9. Triangulated category - Wikipedia

    en.wikipedia.org/wiki/Triangulated_category

    A triangulated category is an additive category D with a translation functor and a class of triangles, called exact triangles [2] (or distinguished triangles), satisfying the following properties (TR 1), (TR 2), (TR 3) and (TR 4). (These axioms are not entirely independent, since (TR 3) can be derived from the others.