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| − | == Problem ==
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| − | <asy>
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| − | pair A=(3,0),B=((6+sqrt(1536))/50,(144-sqrt(1536))/(50*sqrt(24))),C=((6-sqrt(1536))/50,(144+sqrt(1536))/(50*sqrt(24))),D=(-1.8,sqrt(24)/5);
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| − | filldraw(circle((2,0),1),white);
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| − | filldraw(circle((0,0),1),white);
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| − | filldraw(circle((-2,0),1),white);
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| − | draw(A--D,black);
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| − | draw((3.5,0)--(-3.5,0),black);
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| − |
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| − | dot(A,black+0.25cm);dot(B,black+0.25cm);dot(C,black+0.25cm);
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| − | MP("A",A,NE);MP("B",B,N);MP("C",C,N);
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| − | </asy>
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| − | Find the length of segment BC formed in the middle circle by a line that goes through point A and is
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| − | tangent to the leftmost circle. The three circles in the
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| − | figure all have radius one and their centers lie on the
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| − | horizontal line. The leftmost and rightmost circles are
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| − | tangent to the circle in the middle. Point A is at
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| − | the rightmost intersection of the rightmost circle and the horizontal line.
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| − |
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| | == Solution == | | == Solution == |
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