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Pandrosion and the duplication of the cube - Micmaths

26,247 views

Mickaël Launay (Micmaths)

Published on Dec 13, 2024

About :

In the 4th century, the mathematician Pandrosion developed a geometric method to approach the cube root of 2 and attempt to solve the famous problem of duplicating the cube. Sources: The Mathematical Collection of Pappus (French translation by Paul Ver Eecke - this translation is one of those that gender Pandrosion in the masculine): https://archive.org/details/PappusDAl... Textual Studies in Ancient and Medieval Geometry - Wilbur Richard Knorr. The full book is not available online, but an excerpt from the chapter on the duplication of the cube (including the method of Eratosthenes) can be read here: https://link.springer.com/chapter/10.... An article from APMEP that presents different historical approaches to the duplication of the cube: https://www.apmep.fr/IMG/pdf/Duplicat... Théorie des corps, La règle et le compas - Jean-Claude Carréga: for more in-depth content on the algebraic theories that allowed Wantzel to demonstrate the inconstructibility of the cubic root of 2. ===== The bat equation, you can read the first pages on the Hugo publishing website: https://www.hugopublishing.fr/produit... Illustrations: Chloé Bouchaour / chloescope_ You can also follow me on: Instagram: / launay_mickael Bluesky: https://bsky.app/profile/mickaellauna... Mastodon: https://mamot.fr/@mickaellaunay Tiktok: / mickael_launay Facebook: / micmaths

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