Three pairs of congruent circles in a circle - Li C. Tien

  1. Tác giả: LTTK CTV
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    Three pairs of congruent circles in a circle - Li C. Tien

    Consider a closed chain of three pairs of congruent circles of radii a, b, c. The circle tangent internally to each of the 6 circles has radius R = a + b + c if and only if there is a pair of congruent circles whose centers are on a diameter of the enclosing circle. Non-neighboring circles in the chain may overlap. Conditions for nonoverlapping are established. There can be a ``central circle'' tangent to four of the circles in the chain.

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