Geometry Problems, Online Education

Problem 1099: Four Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations, Sangaku. Level: High School, SAT Prep, College Geometry

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The figure below shows the circles O1 (radius r1) and O2 (radius r2). A1A2 and B1B2 are the common external tangents and CD is a common internal tangent. Circle O3 (radius r3) touches A1C, CD, and circle O1. Circle O4 (radius r4) touches B1D, CD, and circle O1. Prove that Formula to prove.
 

Geometry Problem 1099 Four Circles, Common External Tangent, Common Internal Tangent, Radius, Metric Relations, Sangaku
 

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Art and typography of problem 1099

 

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Last updated: Mar 5, 2018