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  2. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    The centers of four squares all constructed either internally or externally on the sides of a parallelogram are the vertices of a square. [8] If two lines parallel to sides of a parallelogram are constructed concurrent to a diagonal, then the parallelograms formed on opposite sides of that diagonal are equal in area. [8]

  3. Parallelepiped - Wikipedia

    en.wikipedia.org/wiki/Parallelepiped

    a hexahedron with three pairs of parallel faces, a polyhedron with six faces , each of which is a parallelogram, and; a prism of which the base is a parallelogram. The rectangular cuboid (six rectangular faces), cube (six square faces), and the rhombohedron (six rhombus faces) are all special cases of parallelepiped.

  4. Parallelogram law - Wikipedia

    en.wikipedia.org/wiki/Parallelogram_law

    In mathematics, the simplest form of the parallelogram law (also called the parallelogram identity) belongs to elementary geometry. It states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals. We use these notations for the sides: AB, BC, CD, DA.

  5. Theorem of the gnomon - Wikipedia

    en.wikipedia.org/wiki/Theorem_of_the_gnomon

    The theorem of the gnomon can be used to construct a new parallelogram or rectangle of equal area to a given parallelogram or rectangle by the means of straightedge and compass constructions. This also allows the representation of a division of two numbers in geometrical terms, an important feature to reformulate geometrical problems in ...

  6. Regular polygon - Wikipedia

    en.wikipedia.org/wiki/Regular_polygon

    All vertices of a regular polygon lie on a common circle (the circumscribed circle); i.e., they are concyclic points. That is, a regular polygon is a cyclic polygon. Together with the property of equal-length sides, this implies that every regular polygon also has an inscribed circle or incircle that is

  7. 37 Things You Should Stop Paying for ASAP - AOL

    www.aol.com/finance/37-things-stop-paying-asap...

    Baby Food. Homemade baby food is far cheaper than commercial baby food — and you know exactly what's in it. You don't need a gadget designed specifically for making baby food.Just boil or steam ...

  8. 5 Foods That Will Help You Live for 100 Years, According to ...

    www.aol.com/5-foods-help-live-100-194400761.html

    The Blue Zone approach is notably different than the “get healthy” trends that dominate in much of the United States and involve adhering to a specific diet and exercise routine, which often ...

  9. Rhombus - Wikipedia

    en.wikipedia.org/wiki/Rhombus

    A rhombus therefore has all of the properties of a parallelogram: for example, opposite sides are parallel; adjacent angles are supplementary; the two diagonals bisect one another; any line through the midpoint bisects the area; and the sum of the squares of the sides equals the sum of the squares of the diagonals (the parallelogram law).