File:Squaring the circle like a medieval Master Mason, by Frederic Beatrix.png
Size of this preview: 800 × 581 pixels. Other resolutions: 320 × 232 pixels | 640 × 465 pixels | 1,024 × 743 pixels | 1,376 × 999 pixels.
Original file (1,376 × 999 pixels, file size: 64 KB, MIME type: image/png)
 | This is a file from the Wikimedia Commons. Information from its description page there is shown below. Commons is a freely licensed media file repository. You can help. |
Summary
| Description |
Français : La résolution de la quadrature du cercle "à la règle et au compas" étant impossible, les géomètres envisagent des figures géométriques offrant théoriquement la meilleure approximation possible. Comme la précision de la figure diminue rapidement avec le nombre d'étapes de construction (géométrographie), la figure dessinée à la main la plus précise est celle qui requiert le moins d'étapes de construction.
Cette construction utilisant l'approximation par la "section d'or" se construit en 13 étapes seulement.
English: Squaring of the circle "with ruler and compass" has been proven impossible in 1811. Mathematicians now propose geometric figures offering the best possible approximation "in theory". As the accuracy of the hand-drawn figure decreases rapidly with the number of construction steps (geometrography), the hand-drawn figure that will be "operatively" the most accurate is the one that requires the fewest construction steps.
This construction, using the "golden section" approximation, is built in only 13 steps. |
| Date | |
| Source | Own work |
| Author | Frédéric BEATRIX |
First published in Parabola Magazine, volume 58, issue 2, 2022 University of New South Wales https://www.parabola.unsw.edu.au/2020-2029/volume-58-2022/issue-2/article/squaring-circle-medieval-master-mason
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International 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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:48, 4 September 2022 | | 1,376 × 999 (64 KB) | Fred9871 | Uploaded own work with UploadWizard |
File usage
The following 2 pages use this file:
Global file usage
The following other wikis use this file:
- Usage on fr.wikipedia.org
- Usage on tr.wikipedia.org
