inscribed quadrilateral
1Inscribed angle theorem — In geometry, the inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its apex is moved to different positions on… …
2Quadrilateral — This article is about four sided mathematical shapes. For other uses, see Quadrilateral (disambiguation). Quadrilateral Six different types of quadrilaterals Edges and vertices 4 …
3Inscribed angle — In geometry, an inscribed angle is formed when two secant lines of a circle (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle.Typically, it is easiest to think of an inscribed angle as… …
4Cyclic 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… …
5Tangential 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… …
6Orthodiagonal 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… …
7Brahmagupta'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… …
8in-quadric — ˈin ˌquadric Math. [Cf. in circle.] An inscribed quadric. So ˈin quadriˌlateral, an inscribed quadrilateral …
9Casey's theorem — In mathematics, Casey s theorem, also known as the generalized Ptolemy s theorem, is a theorem in Euclidean geometry named after the Irish mathematician John Casey. Formulation of the theorem Let ,O be a circle of radius ,R. Let ,O 1, O 2, O 3, O …
10Tangent lines to circles — In Euclidean plane geometry, tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at a point P is perpendicular to the radius to …
