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  2. Ptolemy's inequality - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_inequality

    For four points in order around a circle, Ptolemy's inequality becomes an equality, known as Ptolemy's theorem: ¯ ¯ + ¯ ¯ = ¯ ¯. In the inversion-based proof of Ptolemy's inequality, transforming four co-circular points by an inversion centered at one of them causes the other three to become collinear, so the triangle equality for these three points (from which Ptolemy's inequality may ...

  3. Ptolemy's theorem - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_theorem

    More generally, if the quadrilateral is a rectangle with sides a and b and diagonal d then Ptolemy's theorem reduces to the Pythagorean theorem. In this case the center of the circle coincides with the point of intersection of the diagonals. The product of the diagonals is then d 2, the right hand side of Ptolemy's relation is the sum a 2 + b 2.

  4. Casey's theorem - Wikipedia

    en.wikipedia.org/wiki/Casey's_theorem

    In mathematics, Casey's theorem, also known as the generalized Ptolemy's theorem, is a theorem in Euclidean geometry named after the Irish mathematician John Casey. Formulation of the theorem [ edit ]

  5. File:Ptolemy Inequality.svg - Wikipedia

    en.wikipedia.org/wiki/File:Ptolemy_Inequality.svg

    The following other wikis use this file: Usage on ar.wikipedia.org متفاوتة بطليموس; Usage on ca.wikipedia.org Teorema de Ptolemeu

  6. Theon of Alexandria - Wikipedia

    en.wikipedia.org/wiki/Theon_of_Alexandria

    Ptolemy's Handy Tables. A collection of astronomical tables originally compiled by Ptolemy. [11] It has often been claimed in modern times that Theon edited this text. [12] However, none of the surviving manuscripts mention Theon, [13] and the evidence suggests that the surviving tables must be very similar to the tables Ptolemy provided.

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  8. NBA All-Star Game to reportedly adopt pickup-style format for ...

    www.aol.com/sports/nba-star-game-adopt-pickup...

    The NBA and commissioner Adam Silver were eager to make changes to the All-Star Game after last year's contest wasn't very competitive and finished with a final score of 211-186.

  9. List of triangle inequalities - Wikipedia

    en.wikipedia.org/wiki/List_of_triangle_inequalities

    The parameters most commonly appearing in triangle inequalities are: the side lengths a, b, and c;; the semiperimeter s = (a + b + c) / 2 (half the perimeter p);; the angle measures A, B, and C of the angles of the vertices opposite the respective sides a, b, and c (with the vertices denoted with the same symbols as their angle measures);

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