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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]
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.
Parallelogons have an even number of sides and opposite sides that are equal in length. A less obvious corollary is that parallelogons can only have either four or six sides; [1] Parallelogons have 180-degree rotational symmetry around the center. A four-sided parallelogon is called a parallelogram.
Pappus's area theorem describes the relationship between the areas of three parallelograms attached to three sides of an arbitrary triangle. The theorem, which can also be thought of as a generalization of the Pythagorean theorem , is named after the Greek mathematician Pappus of Alexandria (4th century AD), who discovered it.
1.4 Curve families with variable genus. ... Polygons named for their number of sides Monogon — 1 sided; Digon — 2 sided; ... Parallelogram. Rhombus (equilateral ...
Wendy Williams' health has taken a turn for the worse amid her battle with dementia and aphasia. The former "Wendy Williams Show" host, 60, has become "cognitively impaired and permanently ...
Megan Fox isn’t letting her growing baby bump get in the way of her standout style choices.. The actress, 38, told PEOPLE in an exclusive interview that her personal fashion sense hasn’t ...
Meghan Markle is opening up about her favorite holiday traditions with her family. In an interview with Marie Claire, the Duchess of Sussex, 43, said, “I love the holidays,” and said of Prince ...