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Geometry Problem 1301: Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency. Level: School, College, Mathematics Education

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The figure below shows an arbelos ABC (AB, BC, and AC are semicircles of centers O1, O2, and O) and the squares ABB1B2 and BCC1C2. If M1 and M2 are the midpoints of B1B2 and C1C2, respectively, prove that AM2 and CM1 intersect at I, the incenter of the arbelos.  
 

Geometry Problem 1301: Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency
  
 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 1301-1310 | Arbelos | Triangle | Circle | Semicircle | Tangent Circles | Incircle | Square | Midpoint | Perpendicular lines | Concurrency | by Antonio Gutierrez

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