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Descartes' circle theorem  |  Soddy's formula   (anglický)

Definícia vek 19 úroveň 4

If we draw four circles A, B, C, D so that they do not overlap but each touches the other three, and if we call the radii of the circles r1, r2, r3, r4, and let b1=1/r1, etc, then ( b1 + b2 + b3 + b4 ) 2 = 2 ( b1 2 + b2 2 + b3 2 + b4 2 ).

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