In the figure below, ABCD is a
quadrilateral of area S. E, F, G, H, M, N, P, and Q trisect the sides. If S1,
S2, S3, and S4 are the areas of
the shaded quadrilaterals, prove
that: S1 + S3, = S2 + S4.
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See also: Geometric Art:
Hyperbolic kaleidoscope
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