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- Clifford's_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.".
- Clifford's_circle_theorems thumbnail Clifford_circle_theorems.svg?width=300.
- Clifford's_circle_theorems wikiPageID "19335333".
- Clifford's_circle_theorems wikiPageRevisionID "585560555".
- Clifford's_circle_theorems hasPhotoCollection Clifford's_circle_theorems.
- Clifford's_circle_theorems title "Clifford's Circle Theorem".
- Clifford's_circle_theorems urlname "CliffordsCircleTheorem".
- Clifford's_circle_theorems subject Category:Circles.
- Clifford's_circle_theorems subject Category:Theorems_in_geometry.
- Clifford's_circle_theorems type Abstraction100002137.
- Clifford's_circle_theorems type Attribute100024264.
- Clifford's_circle_theorems type Circle113873502.
- Clifford's_circle_theorems type Circles.
- Clifford's_circle_theorems type Communication100033020.
- Clifford's_circle_theorems type ConicSection113872975.
- Clifford's_circle_theorems type Ellipse113878306.
- Clifford's_circle_theorems type Figure113862780.
- Clifford's_circle_theorems type Message106598915.
- Clifford's_circle_theorems type PlaneFigure113863186.
- Clifford's_circle_theorems type Proposition106750804.
- Clifford's_circle_theorems type Shape100027807.
- Clifford's_circle_theorems type Statement106722453.
- Clifford's_circle_theorems type Theorem106752293.
- Clifford's_circle_theorems type TheoremsInGeometry.
- Clifford's_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.".
- Clifford's_circle_theorems label "Clifford's circle theorems".
- Clifford's_circle_theorems sameAs m.04n527t.
- Clifford's_circle_theorems sameAs Q5132839.
- Clifford's_circle_theorems sameAs Q5132839.
- Clifford's_circle_theorems sameAs Clifford's_circle_theorems.
- Clifford's_circle_theorems wasDerivedFrom Clifford's_circle_theorems?oldid=585560555.
- Clifford's_circle_theorems depiction Clifford_circle_theorems.svg.
- Clifford's_circle_theorems isPrimaryTopicOf Clifford's_circle_theorems.
