Authors: Mihaly Bencze
Through one of the intersecting points of two circles we draw a line that intersects a second time the circles in the points 1 M and 2 M respectively. Then the geometric locus of the point M which divides the segment 1 2 M M in a ratio k (i.e. M1M = k⋅MM2) is the circle of center O (where O is the point that divides the segment of line that connects the two circle centers O1 and respectively O2 into the ratio k, i.e. O1O = k ⋅OO2 ) and radius OA, without the points A and B.
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[v1] 2014-03-14 03:50:06
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