# Geometry Problem 1441

## Intersecting Circles, Perpendicular Bisector, Parallel Lines, Art, Poster

See solution below

See also:

Art of problem 1439, Generative Sketching.

### Proposition

Circles O and Q intersect at A and B so that O is on circle Q (as shown in
the figure). C is a point on circle O and OC extended cuts circle Q at D.
The perpendicular bisector of CD cuts circle Q at G and H (G on arc AD, H
on arc BD). E is a point on arc BC and OE extended cuts circle Q at F.
The perpendicular bisector of EF cuts circle Q at M and N (M on arc AF, N
on arc BF). Prove that lines CE, GN, and MH are parallel.

### 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.