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CTK Exchange
Bractals
Member since Jun-9-03
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Jul-24-07, 08:00 PM (EST) |
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"Intersecting tangent circles"
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Given the following four circles (x-a)2 + y2 = a2 (x-b)2 + y2 = b2 x2 + (y-c)2 = c2 x2 + (y-d)2 = d2
where a,b,c, and d are nonzero real numbers with a≠b and c≠d.Prove synthetically that the intersections of the four circles (that are not the origin) lie on a circle. I have verified it using Geometer's Sketchpad. |
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