File:Rectangle to square difference2.gif

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Rectangle_to_square_difference2.gif ‎(600 × 500 pixels, file size: 47 KB, MIME type: image/gif, looped, 15 frames, 16 s)

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Summary[edit]

Description
English: Geometric demonstration of a rectangle - divided into a square minus a smaller square

The animated sequence shows:

  • An initial rectangle (Any dimensions)
  • It finds the largest contained square
  • It divides the remainder rectangle in half and cuts it there.
  • It move the cut rectangle section onto the bottom side.
  • The resulting shape is a large square with a small square missing.

Algebraically:

  • A rectangle A by B

Is divided into

  • A square of length: (A+B)/2
  • A missing square of length: abs(A-B)/2

This relation allows any multiplication to be transformed into the difference of two squares.

A x B = [(A+B)/2]^2 - [(A-B)/2]^2
Source Transferred from en.wikipedia to Commons.
Author Tomruen at English Wikipedia

Licensing[edit]

Public domain This work has been released into the public domain by its author, Tomruen at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
Tomruen grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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Date/TimeThumbnailDimensionsUserComment
current13:14, 28 June 2005Thumbnail for version as of 13:14, 28 June 2005600 × 500 (47 KB)Heryu~commonswiki (talk | contribs)fromenwiki

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