Geometry Problem 1435

Poster of Geometry Problem 1435: Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram, Parallel Lines, Tangency Points, iPad Apps, Typography. Math Infographic, Tutor

Geometry Problem 1435: Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram, Parallel Lines, Tangency Points

Proposition

C is a point on a circle O with diameter AB. A circle O1 is inscribed in the circular sector AOC (It is tangent to OA at D, OC at E, and arc AC at F). A circle O2 is inscribed in the circular sector COB (It is tangent to OC at H, OB at G, and arc BC at K). AC and DF meet at P. BC and GK meet at M. Prove that (1) PEMH is a parallelogram and (2) PM is parallel to AB.


Geometry Problem 1435: Circle, Diameter, Inscribed Circles, Circular Sector, Parallelogram, Parallel Lines, Tangency Points, Math Infographic, Tutor


Geometric Art using iPad or 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.