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Typography of Geometry Problem 1300: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines. iPad Apps, Teaching, Tutoring.

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Typography of Geometry Problem 1300: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines. iPad Apps, Geometry Tutor
 

The figure shows an arbelos ABC (AB, BC, and AC are semicircles of centers O1, O2, and O). The incircle I of the arbelos is tangent to semicircles AC, AB, and BC at T, T1, and T2, respectively. IH is perpendicular to AC. Prove that AT2, TB, CT1, IH, and the incircle are concurrent at a point P.
 
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Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 1291-1300 | Arbelos | Triangle | Circle | Semicircle | Tangent Circles | Incircle | Perpendicular lines | Concurrency | iPad | by Antonio Gutierrez

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