convex quadrilateral

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• Quadrilateral — This article is about four sided mathematical shapes. For other uses, see Quadrilateral (disambiguation). Quadrilateral Six different types of quadrilaterals Edges and vertices 4 …   Wikipedia

• Convex hull algorithms — Algorithms that construct convex hulls of various objects have a broad range of applications in mathematics and computer science, see Convex hull applications . In computational geometry, numerous algorithms are proposed for computing the convex… …   Wikipedia

• Cyclic quadrilateral — Cyclic quadrilaterals. In Euclidean geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. This circle is called the circumcircle or circumscribed circle, and the vertices are said to be concyclic. Other… …   Wikipedia

• Tangential quadrilateral — An example of a tangential quadrilateral In Euclidean geometry, a tangential quadrilateral or circumscribed quadrilateral is a convex quadrilateral whose sides all lie tangent to a single circle inscribed within the quadrilateral. This circle is… …   Wikipedia

• Orthodiagonal quadrilateral — An orthodiagonal quadrilateral. According to the characterization of these quadrilaterals, the two red squares on two opposite sides of the quadrilateral have the same total area as the two blue squares on the other pair of opposite sides. In… …   Wikipedia

• Rectangle — Family Orthotope Type Quadrilateral Edges and vertices 4 Schläfli symbol {}x{} …   Wikipedia

• Trapezoid — For other uses, see Trapezoid (disambiguation) and Trapezium (disambiguation). Trapezoid (AmE) Trapezium (BrE) A Trapezoid Type quadrilateral Edges and …   Wikipedia

• Happy Ending problem — The Happy Ending problem (so named by Paul Erdős since it led to the marriage of George Szekeres and Esther Klein) is the following statement::Theorem. Any set of five points in the plane in general position [In this context, general position… …   Wikipedia

• Rhombus — For other uses, see Rhombus (disambiguation). Rhombus Two rhombi Type quadrilateral, bipyramid Edges and vertices …   Wikipedia

• Outer billiard — Outer Billiards is a dynamical system based on a convex shape in the plane. Classically, this system is defined for the Euclidean plane but one can also consider the system in the hyperbolic plane or in other spaces that suitably generalize the… …   Wikipedia

• Geometric median — The geometric median of a discrete set of sample points in a Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the median, which has the property of minimizing the sum of distances for one… …   Wikipedia