parallelogram$57794$ - ορισμός. Τι είναι το parallelogram$57794$
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Τι (ποιος) είναι parallelogram$57794$ - ορισμός

MATHEMATICAL THEOREM
Parallelogram identity; Parallelogram equation; Parallelogram rule; Parallelogram equality; Parallelogram Law
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  • Vectors involved in the parallelogram law.

Antiparallelogram         
  • Three circles associated with an antiparallelogram
  • abbott}} Only three midpoint connections are required.<br>Dotted links indicate the last link required for the fourth connection.
QUADRILATERAL WITH TWO PAIRS OF OPPOSITE EQUAL-LENGTH SIDES, THE LONGER TWO OF WHICH ARE CROSSED
Anti-parallelogram; Contraparallelogram
In geometry, an antiparallelogram is a type of self-crossing quadrilateral. Like a parallelogram, an antiparallelogram has two opposite pairs of equal-length sides, but these pairs of sides are not in general parallel.
Parallelogram of force         
  • Figure 2: Parallelogram of velocity
ADDITION OF VECTORS
Parallelogram of forces; Polygon of force
The parallelogram of forces is a method for solving (or visualizing) the results of applying two forces to an object.
parallelogram         
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  • Parallelogram ABCD
  • A parallelogram can be rearranged into a rectangle with the same area.
  • The area of the parallelogram is the area of the blue region, which is the interior of the parallelogram
  • Animation for the area formula <math>K = bh</math>.
QUADRILATERAL WITH TWO PAIRS OF PARALLEL SIDES
Parallelograms; Parallellogram; Parallelagram; ▱; ▰; Paralellogram; Parallellograms; Paralellograms; Paralelogram; Paralelograms; Parralelogram; Parralelograms; Parralellograms; Parralellogram; Parrallellogram; Parrallellograms; Parrallelograms; Parrallelogram; Parrallelagram; Parrallelagrams; Parrallellagrams; Parrallellagram; Parralellagram; Parralellagrams; Parralelagrams; Parralelagram; Paralelagrams; Paralelagram; Paralellagrams; Parallellagrams; Paralellagram; Parallellagram; Parallelagrams; Area of a parallelogram; Diags. bisect each other; Diags. of //gram; Opp. angles of //gram; Opp. angles equal
[par?'l?l?gram]
¦ noun a four-sided plane rectilinear figure with opposite sides parallel.
Origin
C16: from Fr. parallelogramme, via late L. from Gk parallelogrammon, from parallelos 'alongside another' + gramme 'line'.

Βικιπαίδεια

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. But since in Euclidean geometry a parallelogram necessarily has opposite sides equal, that is, AB = CD and BC = DA, the law can be stated as

If the parallelogram is a rectangle, the two diagonals are of equal lengths AC = BD, so

and the statement reduces to the Pythagorean theorem. For the general quadrilateral with four sides not necessarily equal, where x {\displaystyle x} is the length of the line segment joining the midpoints of the diagonals. It can be seen from the diagram that x = 0 {\displaystyle x=0} for a parallelogram, and so the general formula simplifies to the parallelogram law.