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  2. Square - Wikipedia

    en.wikipedia.org/wiki/Square

    Because it is a regular polygon, a square is the quadrilateral of least perimeter enclosing a given area. Dually, a square is the quadrilateral containing the largest area within a given perimeter. [6] Indeed, if A and P are the area and perimeter enclosed by a quadrilateral, then the following isoperimetric inequality holds:

  3. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    A quadric quadrilateral is a convex quadrilateral whose four vertices all lie on the perimeter of a square. [7] A diametric quadrilateral is a cyclic quadrilateral having one of its sides as a diameter of the circumcircle. [8] A Hjelmslev quadrilateral is a quadrilateral with two right angles at opposite vertices. [9]

  4. Bretschneider's formula - Wikipedia

    en.wikipedia.org/wiki/Bretschneider's_formula

    Bretschneider's formula generalizes Brahmagupta's formula for the area of a cyclic quadrilateral, which in turn generalizes Heron's formula for the area of a triangle.. The trigonometric adjustment in Bretschneider's formula for non-cyclicality of the quadrilateral can be rewritten non-trigonometrically in terms of the sides and the diagonals e and f to give [2] [3]

  5. Pattern Blocks - Wikipedia

    en.wikipedia.org/wiki/Pattern_blocks

    Pattern Block Templates: Printable Worksheets for Pattern Blocks; Flash Pattern Blocks for web and Mandalar for mobile devices (iOS/Android). ETA/Cuisenaire: Educational manipulatives & supplemental materials for grades PreK-12. Background on the Elementary Science Study; Educational and supplemental materials for K-12

  6. Ptolemy's theorem - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_theorem

    Ptolemy's theorem is a relation among these lengths in a cyclic quadrilateral. = + In Euclidean geometry, Ptolemy's theorem is a relation between the four sides and two diagonals of a cyclic quadrilateral (a quadrilateral whose vertices lie on a common circle).

  7. Colombian police arrest reported hitwoman known as "The Doll"

    www.aol.com/colombian-police-arrest-reported-hit...

    The newspaper reports that "La Muñeca" plunged into the criminal underworld at age 18, and was at the time of her arrest in charge of coordinating targeted assassinations, and even killed her ex ...

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