Typography of Geometry Problem 1301: Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency, iPad Apps

Proposition

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.


Typography of Geometry Problem 1301: Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency, iPad Apps. Math Infographic, Tutor

See solution below


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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Original problem 1301


Geometry Problem 1301 Solution(s)