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Geometry Problem 950: Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points. Level: School, College, Mathematics Education

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The figure below shows circles O1 and O2 with the secants C1AC2, D1AD2, and E1AE2. D1C1 and C2D2 meet at F; E1D1 and D2E2 meet at G. If O3, O4, and O5 are the circumcenters of triangles C1C2F, D1D2F, and E1E2G, respectively, prove that the points O1, B, O2, O3, O4, and O5 are concyclic.

 

Geometry Problem 950: Intersecting Circles, Secant, Cyclic Quadrilateral, Concyclic Points

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art GalleryArt | 941-950 | Triangles | Circle | Intersecting Circles | Secant | Circumcenter | Cyclic Quadrilateral | Concyclic Points | by Antonio Gutierrez

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