Geometry Problem 1179: Triangle, Centroid, Transversal, Sum of Ratios, Sides, Typography, iPad Apps

In a triangle ABC, G is the centroid and line DGE is a transversal, D on AB and E on BC (see the figure). If AD = a₁, DB = a₂, CE = c₁, and EB = c₂, prove that: a₁ / a₂ + c₁ / c₂ = 1.

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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 1179.