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  2. Parallelogram - Wikipedia

    en.wikipedia.org/wiki/Parallelogram

    Rhombus – A parallelogram with four sides of equal length. Any parallelogram that is neither a rectangle nor a rhombus was traditionally called a rhomboid but this term is not used in modern mathematics. [1] Square – A parallelogram with four sides of equal length and angles of equal size (right angles).

  3. Hooper's paradox - Wikipedia

    en.wikipedia.org/wiki/Hooper's_paradox

    The brown parallelogram is the overlapping area of the two triangles. Upon close inspection one can notice that the triangles of the dissected shape are not identical to the triangles in the rectangle. The length of the shorter side at the right angle measures 2 units in the original shape but only 1.8 units in the rectangle.

  4. Rectangle - Wikipedia

    en.wikipedia.org/wiki/Rectangle

    In Euclidean plane geometry, a rectangle is a rectilinear convex polygon or a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

  5. Euler's quadrilateral theorem - Wikipedia

    en.wikipedia.org/wiki/Euler's_quadrilateral_theorem

    If the quadrilateral is a parallelogram, then the midpoints of the diagonals coincide so that the connecting line segment has length 0. In addition the parallel sides are of equal length, hence Euler's theorem reduces to + = + which is the parallelogram law.

  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 ...

  7. Wallace–Bolyai–Gerwien theorem - Wikipedia

    en.wikipedia.org/wiki/Wallace–Bolyai–Gerwien...

    Secondly, each of these triangles can be transformed into a right triangle and subsequently into a rectangle with one side of length 1. Alternatively, a triangle can be transformed into one such rectangle by first turning it into a parallelogram and then turning this into such a rectangle. By doing this for each triangle, the polygon can be ...

  8. Lisa Kudrow explains how ‘Friends’ cast worked on their real ...

    www.aol.com/news/lisa-kudrow-found-hard-actual...

    The cast of “Friends” is well known for being besties, but that developed over time. During an appearance on Dax Shepard’s “Armchair Expert” podcast, “Friends” star Lisa Kudrow ...

  9. 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 ...