Geometry, Theorems and Problems

Geometry Problem 1236: Intersecting Circles, Secant, Concyclic Points. Tiled background image: Intihuatana, Machu Picchu. Level: College, High School.

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

Two circles with centers P and Q intersect at A and B (see figure below). AP extended meets circle P at C and circle Q at D. AQ extended meets circle P at E and circle Q at F. Prove than points B, P, E, D, and Q are concyclic.
This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka. 
 

Geometry Problem 1236: Intersecting Circles, Secant, Concyclic Points.

 

Geometry Problem 1233 in Motion

Click on the figure below.


 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art  | 1231-1240 | Intersecting Circles | Circle | Secant | Concyclic Points | Email

Post or view a solution to the problem 1236
Last updated: Jul 12, 2016