# Typography of Geometry Problem 1374: Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines, iPad Apps

### Proposition

In the figure below,
ABC is an isosceles triangle (AB = BC) and D is a point on CA
extended, The Incircle E of the triangle DAB is tangent to BD at F. The
excircle G of the triangle DBC is tangent to AC extended at H. Prove that
BG and FH are parallel.

*BD is called an exterior
cevian of triangle ABC.*

See solution below

See also:

Original problem 1374.

### 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.