College Geometry Apollonius' Tangency Problem For Three Circles

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 Apollonius' Tangency Problem For Three Circles. Level: High School, SAT Prep, College geometry

Given three fixed circles, find a circle tangent to all three. The eight solutions are illustrated below.
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Apollonius of Perga 262BC - 190BC, Greek mathematician of the Alexandrian school, made historical contributions to mathematics, astronomy and ballistics. His famous book Conics introduced the terms parabola, ellipse and hyperbola. According to Pappus, the Apollonian problem was included in his treatise De Tactionibus ("About Tangencies").

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Jul 23, 2014