cyclic quadrilateral

cyclic quadrilateral
A quadrilateral whose vertices all intersect a single circle.

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  • 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

  • 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

  • cyclic — /ˈsaɪklɪk/ (say suyklik), /ˈsɪklɪk/ (say siklik) adjective 1. of or relating to a cycle or cycles; revolving or recurring in cycles; characterised by recurrence in cycles. 2. of or belonging to a cycle of heroic or mythical poems or prose… …  

  • 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

  • Brahmagupta — (audio|Brahmagupta pronounced.ogg|listen) (598–668) was an Indian mathematician and astronomer. Life and work Brahmagupta was born in 598 CE in Bhinmal city in the state of Rajasthan of northwest India. He likely lived most of his life in… …   Wikipedia

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

  • Brahmagupta's formula — In geometry, Brahmagupta s formula finds the area of any quadrilateral given the lengths of the sides and some of their angles. In its most common form, it yields the area of quadrilaterals that can be inscribed in a circle. Basic form In its… …   Wikipedia

  • Ptolemy's theorem — In mathematics, Ptolemy s theorem is a relation in Euclidean geometry between the four sides and two diagonals or chords of a cyclic quadrilateral. The theorem is named after the Greek astronomer and mathematician Ptolemy (Claudius Ptolemaeus).If …   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

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