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First assume A1 a1 A2 a2 A3 a3 A1A2 a12 A1A3 a13 A2A3 a23 and A1A2A3 a123. Without loss the generality we further assume A1 A2 and A3 are subsets of a population P and with 0 ai aij aijk 1 where1 i j k 3. Draw the second circle A2 with center d12 0 and radius r2. Estimate the distance d13 for A1 and A3 and distance d23 for A2 and A3. Find the center x3 y3 of the third circle A3 where x3 d122 d132- d232 / 2d12 and y3 sqrt d132-x32. Draw the third circle A3 with center x3 y3 and radius r3. C...
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