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  2. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a ...

  3. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    4 parallelograms The parallelepiped with O h symmetry is known as a cube , which has six congruent square faces. The parallelepiped with D 4h symmetry is known as a square cuboid , which has two square faces and four congruent rectangular faces.

  4. Parallelogram law - Wikipedia

    en.wikipedia.org/wiki/Parallelogram_law

    Vectors involved in the parallelogram law. In a normed space, the statement of the parallelogram law is an equation relating norms: ‖ ‖ + ‖ ‖ = ‖ + ‖ + ‖ ‖,.. The parallelogram law is equivalent to the seemingly weaker statement: ‖ ‖ + ‖ ‖ ‖ + ‖ + ‖ ‖, because the reverse inequality can be obtained from it by substituting (+) for , and () for , and then simplifying.

  5. Varignon's theorem - Wikipedia

    en.wikipedia.org/wiki/Varignon's_theorem

    The Varignon parallelogram is a rectangle if and only if the diagonals of the quadrilateral are perpendicular, that is, if the quadrilateral is an orthodiagonal quadrilateral. [6]: p. 14 [7]: p. 169 For a self-crossing quadrilateral, the Varignon parallelogram can degenerate to four collinear points, forming a line segment traversed twice.

  6. Rhomboid - Wikipedia

    en.wikipedia.org/wiki/Rhomboid

    Traditionally, in two-dimensional geometry, a rhomboid is a parallelogram in which adjacent sides are of unequal lengths and angles are non-right angled.. The terms "rhomboid" and "parallelogram" are often erroneously conflated with each other (i.e, when most people refer to a "parallelogram" they almost always mean a rhomboid, a specific subtype of parallelogram); however, while all rhomboids ...

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  8. Quadrilateral - Wikipedia

    en.wikipedia.org/wiki/Quadrilateral

    Parallelograms include rhombi (including those rectangles called squares) and rhomboids (including those rectangles called oblongs). In other words, parallelograms include all rhombi and all rhomboids, and thus also include all rectangles. Rhombus, rhomb: [1] all four sides are of equal length (equilateral). An equivalent condition is that the ...

  9. 'Yellowstone,' 'Landman' and the trouble with 'sexy ... - AOL

    www.aol.com/entertainment/yellowstone-landman...

    Kelly Reilly, left, as Beth Dutton on Yellowstone, while Michelle Randolph, center, and Ali Larter are co-stars on Landman. (Paramount Network/Courtesy Everett Collection; Emerson Miller ...