parallelogram law


Let A⁢B⁢C⁢D be a parallelogramMathworldPlanetmath with side lengths u,v and whose diagonalsMathworldPlanetmath have lengths d1 and d2 then

2⁢u2+2⁢v2=d12+d22.

uvd1d2

Title parallelogram lawMathworldPlanetmath
Canonical name ParallelogramLaw
Date of creation 2013-03-22 12:02:23
Last modified on 2013-03-22 12:02:23
Owner drini (3)
Last modified by drini (3)
Numerical id 10
Author drini (3)
Entry type Theorem
Classification msc 51-00
Related topic Parallelogram
Related topic QuadrilateralMathworldPlanetmath
Related topic RectangleMathworldPlanetmath
Related topic Square
Related topic RhombusMathworldPlanetmath
Related topic ApolloniusTheorem
Related topic Median
Related topic ParallelogramLaw2