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.
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.
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Original problem 1179.