newtons theorem - Wolfram|Alpha

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Input interpretation

Newton's theorem

Definition

If each of two nonparallel transversals with nonminimal directions meets a given curve in finite points only, then the ratio of products of the distances from the two sets of intersections to the intersection of the lines is independent of the position of the latter point.

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Subject classifications

MathWorld

abstract algebraic curves

MSC 2010

14Hxx

Associated person

Isaac Newton

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