File:EuclidePGCD.png

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

EuclidePGCD.png (501 × 335 pixels, file size: 11 KB, MIME type: image/png)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
Description

A snapshot of the software Geoplan in action, showing the Euclid algorithm for computing the Greatest common divisor (GCD) by removing squares from a rectangle. A java applet showing the concept with the interactive geometry software Geoplan. Construction Geoplan expliquant graphiquement l'algorithme d'Euclide pour le calcul du Plus Grand Commun Diviseur (PGCD): Dans la tradition grecque, en comprenant un nombre entier comme une longueur, un couple d'entiers comme un rectangle, leur PGCD est la taille du plus grand carré permettant de carreler ce rectangle. L'algorithme décompose ce rectangle en carrés, de plus en plus petits, par divisions euclidiennes successives, de la longueur par la largeur, puis de la largeur par le reste, jusqu'à un reste nul. Cet algorithme s'appelle l'anthyphérèse du Grec anthy = tour à tour et aphairesis = enlever.

Une page java avec l'applet GeoplanJava démontrant le concept de manière dynamique.
Date 3 January 2007 (original upload date)
Source No machine-readable source provided. Own work assumed (based on copyright claims).
Author No machine-readable author provided. Christian.Mercat assumed (based on copyright claims).

Licensing

[edit]
I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current13:41, 3 January 2007Thumbnail for version as of 13:41, 3 January 2007501 × 335 (11 KB)Christian.Mercat (talk | contribs)Construction Geoplan expliquant graphiquement l'algorithme d'Euclide pouyr le calcul du Plus Grand Commun Diviseur (PGCD): Dans la tradition grecque, en comprenant un nombre entier comme une longueur, un couple d'entiers comme un rectangle, leur PGCD est

There are no pages that use this file.

File usage on other wikis

The following other wikis use this file: