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- Cliffords_circle_theorems abstract "In geometry, Clifford's theorems, named after the English geometer William Kingdon Clifford, are a sequence of theorems relating to intersections of circles.The first theorem considers any four circles passing through a common point M and otherwise in general position, meaning that there are six additional points where exactly two of the circles cross and that no three of these crossing points are collinear. Every set of three out of these four circles has among them three crossing points, and (by the assumption of non-collinearity) there exists a circle passing through these three crossing points. Like the first set of four circles, the second set of four circles defined in this way all pass through a single point P.The second theorem considers five circles in general position passing through a single point M. Each subset of four circles defines a new point P according to the first theorem. Then these five points all lie on a single circle C.The third theorem consider six circles in general position that pass through a single point M. Each subset of five circles defines a new circle by the second theorem. Then these six new circles C all pass through a single point.The sequence of theorems can be continued indefinitely.".
- Cliffords_circle_theorems thumbnail Clifford_circle_theorems.svg?width=300.
- Cliffords_circle_theorems wikiPageID "19335333".
- Cliffords_circle_theorems wikiPageLength "1828".
- Cliffords_circle_theorems wikiPageOutDegree "9".
- Cliffords_circle_theorems wikiPageRevisionID "585560555".
- Cliffords_circle_theorems wikiPageWikiLink Category:Circles.
- Cliffords_circle_theorems wikiPageWikiLink Category:Theorems_in_geometry.
- Cliffords_circle_theorems wikiPageWikiLink Circle.
- Cliffords_circle_theorems wikiPageWikiLink Five_circles_theorem.
- Cliffords_circle_theorems wikiPageWikiLink General_position.
- Cliffords_circle_theorems wikiPageWikiLink Geometry.
- Cliffords_circle_theorems wikiPageWikiLink Miquels_theorem.
- Cliffords_circle_theorems wikiPageWikiLink William_Kingdon_Clifford.
- Cliffords_circle_theorems wikiPageWikiLink File:Clifford_circle_theorems.svg.
- Cliffords_circle_theorems wikiPageWikiLinkText "Clifford's circle theorems".
- Cliffords_circle_theorems title "Clifford's Circle Theorem".
- Cliffords_circle_theorems urlname "CliffordsCircleTheorem".
- Cliffords_circle_theorems wikiPageUsesTemplate Template:Cite_book.
- Cliffords_circle_theorems wikiPageUsesTemplate Template:MathWorld.
- Cliffords_circle_theorems subject Category:Circles.
- Cliffords_circle_theorems subject Category:Theorems_in_geometry.
- Cliffords_circle_theorems hypernym Sequence.
- Cliffords_circle_theorems type Theorem.
- Cliffords_circle_theorems comment "In geometry, Clifford's theorems, named after the English geometer William Kingdon Clifford, are a sequence of theorems relating to intersections of circles.The first theorem considers any four circles passing through a common point M and otherwise in general position, meaning that there are six additional points where exactly two of the circles cross and that no three of these crossing points are collinear.".
- Cliffords_circle_theorems label "Clifford's circle theorems".
- Cliffords_circle_theorems sameAs Q5132839.
- Cliffords_circle_theorems sameAs m.04n527t.
- Cliffords_circle_theorems sameAs Định_lý_đường_tròn_Clifford.
- Cliffords_circle_theorems sameAs Q5132839.
- Cliffords_circle_theorems wasDerivedFrom Cliffords_circle_theorems?oldid=585560555.
- Cliffords_circle_theorems depiction Clifford_circle_theorems.svg.
- Cliffords_circle_theorems isPrimaryTopicOf Cliffords_circle_theorems.