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Ptolemy's inequality

Ptolemy's inequality

Relation between distances of four points.

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  1. Ptolemy's theorem

    Relates the 4 sides and 2 diagonals of a quadrilateral with vertices on a common circle.

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  3. Ptolemy

    Greco-Roman astronomer and geographer (c. 100–170).

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Readers come from

Share of the 668 readers arriving from another article

  1. Ptolemy

    Greco-Roman astronomer and geographer (c. 100–170).

    53%

  2. Inner product space

    Vector space with generalized dot product.

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  3. Triangle inequality

    Property of geometry, also used to generalize the notion of "distance" in metric spaces.

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  4. Ptolemy's theorem

    Relates the 4 sides and 2 diagonals of a quadrilateral with vertices on a common circle.

    9.9%

  5. Parallelogram law

    Sides and diagonals have equal sums of squares.

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  6. Polarization identity

    Formula relating the norm and the inner product in an inner product space.

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