# 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 O_{1}, O_{2}, and O) and the squares ABB_{1}B_{2} and BCC_{1}C_{2}. If M_{1} and M_{2} are the midpoints of B_{1}B_{2} and C_{1}C_{2}, respectively, prove that AM_{2} and CM_{1} intersect at I, the incenter of the arbelos.

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.

See also:

Original problem 1301