Cyclic quadrilateral - Wikipedia, the free encyclopedia
In geometry, a cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. The vertices are said to be concyclic . In a cyclic quadrilateral, opposite angles are supplementa...
en.wikipedia.org/wiki/Cyclic_quadrilateral
This is a file from the Wikimedia Commons. The description on its description page there is shown below. Commons is a freely licensed media file repository. You can help. ... English: Four examples of cyclic quadrilaterals...
en.wikipedia.org/wiki/File:Cyclic_quadrilateral.svg en.wikipedia.org/wiki/File:Cyclic_quadrilateral.svg
A cyclic quadrilateral is a quadrilateral for which a circle can be circumscribed so that it touches each polygon vertex. A quadrilateral that can be both ...
mathworld.wolfram.com/CyclicQuadrilateral.html mathworld.wolfram.com/CyclicQuadrilateral.html
Java applet: Cyclic quadrilateral ... You can move the vertices of the given cyclic quadrilateral with pressed mouse button ... Opposite angles in a cyclic quadrilateral add up to 180°.
www.walter-fendt.de/m14e/cyclquadrilat.htm
Welcome to Cyclic Quadrilateral Index, Plane Geometry. Site created and maintained by Antonio Gutierrez. ... Cyclic Quadrilateral Theorems and Problems- Table of Content ... Four Circles Theorem Using Interactive Dynamic Software; Step-by-Step construction, Manipulation, and animation. Cyclic Quadrilateral.
www.gogeometry.com/geometry/cyclic_quadrilateral_index_... www.gogeometry.com/geometry/cyclic_quadrilateral_index_theorems_problems.htm
Incenters in Cyclic Quadrilateral: according to a Japanese theorem the four incenters in a cyclic quadrilateral form a rectangle ... Incenters in Cyclic Quadrilateral: What is this about? A Mathematical Droodle...
www.cut-the-knot.org/Curriculum/Geometry/CyclicQuadrila... www.cut-the-knot.org/Curriculum/Geometry/CyclicQuadrilateral.shtml
Remarkable Line in Cyclic Quadrilateral: might be called Euler's line ... Remarkable Line in Cyclic Quadrilateral: What is it about? A Mathematical Droodle ... In itself, this is a curious property of a cyclic quadrilateral. We may go a little further and determine the relative locations of the points H, N, G, and O on that line.
www.cut-the-knot.org/Curriculum/Geometry/InscribedQuadr... www.cut-the-knot.org/Curriculum/Geometry/InscribedQuadri.shtml
Brahmagupta's formula is provides the area A of a cyclic quadrilateral (i.e., a simple quadrilateral that is inscribed in a circle) with sides of length a, b, c, and d as ; ... Opposite angles of a cyclic quadrilateral are supplemental.
jwilson.coe.uga.edu/emt725/brahmagupta/brahmagupta.html
Two circle theorems investigated interactively: opposite Angles in a Cyclic Quadrilateral add to 180 degrees, and angles in the same segment are equal.
www.rfbarrow.btinternet.co.uk/htmgcse/Circle1.htm
But, of course, if you ever do find two angles that intercept the same arc, then the four points in question (the two vertices of the angles and the two endpoints of the arc) form a cyclic quadrilateral. That's where a lot of the power of cyclic quadrilaterals lies.
polymathematics.typepad.com/polymath/cyclic-quadrilater... polymathematics.typepad.com/polymath/cyclic-quadrilaterals.html
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