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- Pivot_theorem abstract "In geometry, the pivot theorem states that, given any three points P, Q, and R on each corresponding side of a triangle ABC, the three circles through the points AQR, BPR and CPQ share a common point M. Conversely, this is equivalent to a porism: given any three circles sharing a common point M, there are an infinite number of triangles such that one point lies on each circle and the sides of the triangle pass through the intersection points of the circles.There is also a three-dimensional analog, in which the four spheres passing through a point of a tetrahedron and points on the edges of the tetrahedron intersect in a common point.".
- Pivot_theorem thumbnail Pivot_theorem.svg?width=300.
- Pivot_theorem wikiPageID "19335153".
- Pivot_theorem wikiPageRevisionID "581372317".
- Pivot_theorem hasPhotoCollection Pivot_theorem.
- Pivot_theorem title "Pivot theorem".
- Pivot_theorem urlname "PivotTheorem".
- Pivot_theorem subject Category:Circles.
- Pivot_theorem subject Category:Theorems_in_plane_geometry.
- Pivot_theorem type Abstraction100002137.
- Pivot_theorem type Attribute100024264.
- Pivot_theorem type Circle113873502.
- Pivot_theorem type Circles.
- Pivot_theorem type Communication100033020.
- Pivot_theorem type ConicSection113872975.
- Pivot_theorem type Ellipse113878306.
- Pivot_theorem type Figure113862780.
- Pivot_theorem type Message106598915.
- Pivot_theorem type PlaneFigure113863186.
- Pivot_theorem type Proposition106750804.
- Pivot_theorem type Shape100027807.
- Pivot_theorem type Statement106722453.
- Pivot_theorem type Theorem106752293.
- Pivot_theorem type TheoremsInPlaneGeometry.
- Pivot_theorem comment "In geometry, the pivot theorem states that, given any three points P, Q, and R on each corresponding side of a triangle ABC, the three circles through the points AQR, BPR and CPQ share a common point M.".
- Pivot_theorem label "Pivot theorem".
- Pivot_theorem sameAs m.04m_dg4.
- Pivot_theorem sameAs Q7199658.
- Pivot_theorem sameAs Q7199658.
- Pivot_theorem sameAs Pivot_theorem.
- Pivot_theorem wasDerivedFrom Pivot_theorem?oldid=581372317.
- Pivot_theorem depiction Pivot_theorem.svg.
- Pivot_theorem isPrimaryTopicOf Pivot_theorem.
