Geometry Problem 1437: Intersecting Circles, Common Tangent, Equal Product, Art, Poster

See solution below

Proposition

Circles O₁ and O₂ intersect at A and B. CD is the common tangent to circles O₁ and O₂ as shown in the figure. Circle O₃ passing through C and D intersects circle O₁ at F and circle O₂ at E. Prove that: AF.BE = AE.BF.

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.