File:Squaring the circle like a medieval Master Mason, by Frederic Beatrix.png
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Squaring the circle in 13 steps.
Summary[edit]
| 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
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| current | 07:48, 4 September 2022 | | 1,376 × 999 (64 KB) | Fred9871 (talk | contribs) | Uploaded own work with UploadWizard |
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