parallelogram

Algebra

(noun)

a convex quadrilateral in which each pair of opposite edges are parallel and of equal length.

Related Terms

  • imaginary unit
  • complex numbers
Calculus

(noun)

a convex quadrilateral in which each pair of opposite edges is parallel and of equal length

Related Terms

  • perpendicular

Examples of parallelogram in the following topics:

  • Forces in Two Dimensions

    • When two forces act on a point particle, the resulting force or the resultant (also called the net force) can be determined by following the parallelogram rule of vector addition: the addition of two vectors represented by sides of a parallelogram gives an equivalent resultant vector which is equal in magnitude and direction to the transversal of the parallelogram.
  • Addition, Subtraction, and Multiplication

    • Using the visualization of complex numbers in the complex plane, the addition has the following geometric interpretation: the sum of two complex numbers A and B, interpreted as points of the complex plane, is the point X obtained by building a parallelogram, three of whose vertices are O, A, and B (as shown in ).
    • Addition of two complex numbers can be done geometrically by constructing a parallelogram.
  • The Cross Product

    • The magnitude of vector $c$ is equal to the area of the parallelogram made by the two original vectors.
  • Technological Advancements under the Song

    • Yang Hui also provided rules for constructing combinatorial arrangements in magic squares, provided theoretical proof for Euclid's forty-third proposition about parallelograms, and was the first to use negative coefficients of "x" in quadratic equations.
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