Geometry Problem 1297: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector

The figure below shows an arbelos ABC (AB, BC, and AC are semicircles of centers O1, O2, and O). The incircle of the arbelos is tangent to semicircles AC, AB, and BC at T, T1, and T2, respectively. Prove that TB is the bisector of the angle ATC.


Geometry Problem 1297: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector
 

Poster of Problem 1297: Sketching, iPad, Typography, Art

Poster of Geometry Problem 1297: Right Triangle, Incircle, Excircle, Tangency Points, Sketching, iPad, Typography, Art, SW, Tutor

Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids. A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.


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