Geometry Problem 1439

Rectangle, Diagonal, Perpendicular, Circles, Areas, Art, Poster

See solution below

See also:
Art of problem 1439, Generative Sketching.

Proposition

ABCD is a rectangle with E on AD so that CE is perpendicular to BD at H. S₁, S₂, S₃, and S₄ are the areas of circles with diameters BD, BC, CE, and DE, respectively. Prove that S₁+S₄=S₂+S₃

See solution below

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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.