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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 parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

3. 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.

4. Parallelepiped - Wikipedia

   en.wikipedia.org/wiki/Parallelepiped

   In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square. [a] Three equivalent definitions of parallelepiped are a hexahedron with three pairs of parallel faces,

5. Varignon's theorem - Wikipedia

   en.wikipedia.org/wiki/Varignon's_theorem

   An arbitrary quadrilateral and its diagonals. Bases of similar triangles are parallel to the blue diagonal. Ditto for the red diagonal. The base pairs form a parallelogram with half the area of the quadrilateral, A q, as the sum of the areas of the four large triangles, A l is 2 A q (each of the two pairs reconstructs the quadrilateral) while that of the small triangles, A s is a quarter of A ...

6. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   25 Geometry and other areas of mathematics. ... Rhombus (equilateral parallelogram) Lozenge; Rhomboid; Rectangle. square (regular quadrilateral) Tangential quadrilateral;

7. 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 ...

8. 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 ...

9. Quadrilateral - Wikipedia

   en.wikipedia.org/wiki/Quadrilateral

   In geometry a quadrilateral is a four-sided polygon, having four edges (sides) ... Parallelograms include rhombi (including those rectangles called squares) and ...