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- Cyclic_quadrilateral abstract "In Euclidean geometry, a cyclic quadrilateral or inscribed 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. The center of the circle and its radius are called the circumcenter and the circumradius respectively. Other names for these quadrilaterals are concyclic quadrilateral and chordal quadrilateral, the latter since the sides of the quadrilateral are chords of the circumcircle. Usually the quadrilateral is assumed to be convex, but there are also crossed cyclic quadrilaterals. The formulas and properties given below are valid in the convex case.The word cyclic is from the Greek kuklos which means "circle" or "wheel".All triangles have a circumcircle, but not all quadrilaterals do. An example of a quadrilateral that cannot be cyclic is a non-square rhombus. The section characterizations below states what necessary and sufficient conditions a quadrilateral must satisfy to have a circumcircle.".
- Cyclic_quadrilateral thumbnail Cyclic_quadrilateral.svg?width=300.
- Cyclic_quadrilateral wikiPageExternalLink JavaGSPLinks.htm.
- Cyclic_quadrilateral wikiPageExternalLink nine-point-quad.html.
- Cyclic_quadrilateral wikiPageExternalLink Brahmagupta2.shtml.
- Cyclic_quadrilateral wikiPageExternalLink CyclicQuadrilateral.shtml.
- Cyclic_quadrilateral wikiPageExternalLink derivation-formula-area-cyclic-quadrilateral.
- Cyclic_quadrilateral wikiPageID "194131".
- Cyclic_quadrilateral wikiPageLength "22887".
- Cyclic_quadrilateral wikiPageOutDegree "110".
- Cyclic_quadrilateral wikiPageRevisionID "670189455".
- Cyclic_quadrilateral wikiPageWikiLink AM-GM_inequality.
- Cyclic_quadrilateral wikiPageWikiLink Altitude_(triangle).
- Cyclic_quadrilateral wikiPageWikiLink Angle.
- Cyclic_quadrilateral wikiPageWikiLink Antiparallelogram.
- Cyclic_quadrilateral wikiPageWikiLink Archimedes.
- Cyclic_quadrilateral wikiPageWikiLink Area.
- Cyclic_quadrilateral wikiPageWikiLink Arithmetic_mean.
- Cyclic_quadrilateral wikiPageWikiLink Arithmetic_progression.
- Cyclic_quadrilateral wikiPageWikiLink Bicentric_quadrilateral.
- Cyclic_quadrilateral wikiPageWikiLink Bisection.
- Cyclic_quadrilateral wikiPageWikiLink Book_of_Lemmas.
- Cyclic_quadrilateral wikiPageWikiLink Brahmagupta_theorem.
- Cyclic_quadrilateral wikiPageWikiLink Brahmaguptas_formula.
- Cyclic_quadrilateral wikiPageWikiLink Brahmaguptas_theorem.
- Cyclic_quadrilateral wikiPageWikiLink Bretschneiders_formula.
- Cyclic_quadrilateral wikiPageWikiLink Butterfly_theorem.
- Cyclic_quadrilateral wikiPageWikiLink Calculus.
- Cyclic_quadrilateral wikiPageWikiLink Category:Quadrilaterals.
- Cyclic_quadrilateral wikiPageWikiLink Centroid.
- Cyclic_quadrilateral wikiPageWikiLink Chord_(geometry).
- Cyclic_quadrilateral wikiPageWikiLink Circle.
- Cyclic_quadrilateral wikiPageWikiLink Circumcenter.
- Cyclic_quadrilateral wikiPageWikiLink Circumcircle.
- Cyclic_quadrilateral wikiPageWikiLink Circumradius.
- Cyclic_quadrilateral wikiPageWikiLink Circumscribed_circle.
- Cyclic_quadrilateral wikiPageWikiLink Collinear_points.
- Cyclic_quadrilateral wikiPageWikiLink Concurrent_lines.
- Cyclic_quadrilateral wikiPageWikiLink Concyclic.
- Cyclic_quadrilateral wikiPageWikiLink Concyclic_points.
- Cyclic_quadrilateral wikiPageWikiLink Congruence_(geometry).
- Cyclic_quadrilateral wikiPageWikiLink Convex_polygon.
- Cyclic_quadrilateral wikiPageWikiLink Corollary.
- Cyclic_quadrilateral wikiPageWikiLink Cut-the-Knot.
- Cyclic_quadrilateral wikiPageWikiLink Cut-the-knot.
- Cyclic_quadrilateral wikiPageWikiLink Cyclic_quadrilateral.
- Cyclic_quadrilateral wikiPageWikiLink Diagonal.
- Cyclic_quadrilateral wikiPageWikiLink Diameter.
- Cyclic_quadrilateral wikiPageWikiLink Euclid.
- Cyclic_quadrilateral wikiPageWikiLink Euclidean_geometry.
- Cyclic_quadrilateral wikiPageWikiLink Euclids_Elements.
- Cyclic_quadrilateral wikiPageWikiLink Ex-tangential_quadrilateral.
- Cyclic_quadrilateral wikiPageWikiLink Exterior_angle.
- Cyclic_quadrilateral wikiPageWikiLink Exterior_angle_theorem.
- Cyclic_quadrilateral wikiPageWikiLink File:Cyclic_quadrilateral.svg.
- Cyclic_quadrilateral wikiPageWikiLink Geometric_progression.
- Cyclic_quadrilateral wikiPageWikiLink Herons_formula.
- Cyclic_quadrilateral wikiPageWikiLink If_and_only_if.
- Cyclic_quadrilateral wikiPageWikiLink Incircle_and_excircles_of_a_triangle.
- Cyclic_quadrilateral wikiPageWikiLink Inequality_of_arithmetic_and_geometric_means.
- Cyclic_quadrilateral wikiPageWikiLink Inscribed_angle.
- Cyclic_quadrilateral wikiPageWikiLink Inscribed_angle_theorem.
- Cyclic_quadrilateral wikiPageWikiLink Interior_angle.
- Cyclic_quadrilateral wikiPageWikiLink Internal_and_external_angle.
- Cyclic_quadrilateral wikiPageWikiLink Isosceles_trapezoid.
- Cyclic_quadrilateral wikiPageWikiLink Japanese_theorem_for_cyclic_quadrilaterals.
- Cyclic_quadrilateral wikiPageWikiLink Kite_(geometry).
- Cyclic_quadrilateral wikiPageWikiLink Line_(geometry).
- Cyclic_quadrilateral wikiPageWikiLink Line_segment.
- Cyclic_quadrilateral wikiPageWikiLink Maxima_and_minima.
- Cyclic_quadrilateral wikiPageWikiLink Midpoint.
- Cyclic_quadrilateral wikiPageWikiLink Necessary_and_sufficient_condition.
- Cyclic_quadrilateral wikiPageWikiLink Necessity_and_sufficiency.
- Cyclic_quadrilateral wikiPageWikiLink Orthocenter.
- Cyclic_quadrilateral wikiPageWikiLink Orthodiagonal_quadrilateral.
- Cyclic_quadrilateral wikiPageWikiLink Parameshvara.
- Cyclic_quadrilateral wikiPageWikiLink Perpendicular.
- Cyclic_quadrilateral wikiPageWikiLink Power_of_a_point.
- Cyclic_quadrilateral wikiPageWikiLink Ptolemys_table_of_chords.
- Cyclic_quadrilateral wikiPageWikiLink Ptolemys_theorem.
- Cyclic_quadrilateral wikiPageWikiLink Quadrilateral.
- Cyclic_quadrilateral wikiPageWikiLink Radius.
- Cyclic_quadrilateral wikiPageWikiLink Rectangle.
- Cyclic_quadrilateral wikiPageWikiLink Rhombus.
- Cyclic_quadrilateral wikiPageWikiLink Robbins_pentagon.
- Cyclic_quadrilateral wikiPageWikiLink Semiperimeter.
- Cyclic_quadrilateral wikiPageWikiLink Similarity_(geometry).
- Cyclic_quadrilateral wikiPageWikiLink Square.
- Cyclic_quadrilateral wikiPageWikiLink Square_(geometry).
- Cyclic_quadrilateral wikiPageWikiLink Supplementary_angle.
- Cyclic_quadrilateral wikiPageWikiLink Tangential_quadrilateral.
- Cyclic_quadrilateral wikiPageWikiLink Theorem.
- Cyclic_quadrilateral wikiPageWikiLink Triangle.
- Cyclic_quadrilateral wikiPageWikiLink Trigonometric_functions.
- Cyclic_quadrilateral wikiPageWikiLink Vertex_(geometry).
- Cyclic_quadrilateral wikiPageWikiLink File:Japanese_theorem_2.svg.
- Cyclic_quadrilateral wikiPageWikiLink File:Sehnenviereck2.PNG.
- Cyclic_quadrilateral wikiPageWikiLinkText "Circumcircle of a cyclic quadrilateral".
- Cyclic_quadrilateral wikiPageWikiLinkText "Cyclic quadrilateral".
- Cyclic_quadrilateral wikiPageWikiLinkText "Cyclic quadrilateral#Brahmagupta quadrilaterals".