Problem1210. Circle, Tangent Line, Secant, Chord, Collinear Points

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

In the figure below, PA and PB are tangents to a circle O at A and B. OP cuts the arc and chord AB at C and D, respectively. E is a point on arc AB so that EC extended cuts AP and BP extended at F and G, respectively. BF extended cuts AG at H. Prove that the points E, D, and H are collinear.

Geometry Problem 1210: Circle, Tangent Line, Secant, Chord, Collinear Points

Geometric Art: Hyperbolic Kaleidoscope of problem 1210 using iPad Apps

Geometry art of Problem 1210: Hyperbolic Kaleidoscope

Home | Geometry | Search | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art GalleryArt | 1201-1210 | Circle | Circle Tangent Line | Collinear Points | Email | by Antonio Gutierrez 

Post or view a solution to the problem 1210
Last updated: Mar 27, 2018