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Power of a Point Theorem

Revision as of 15:45, 24 June 2006 by ComplexZeta (talk | contribs)

The Power of a Point theorem expresses the relation between the lengths of two lines intersecting at a point and a circle. If $AB$ and $CD$ are two chords on a circle that intersect inside the circle at point $X$, then we have $AX\times XB = CX\times XD$. This theorem is frequently used on competitions such as the AIME.

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