Sp\'eculation sur la g\'eom\'etrie en \'Egypte antique

TL;DR

The paper presents evidence that ancient Egyptian pyramids encode advanced mathematical knowledge, including calculations of sphere properties and solutions to classical geometry problems, predating Greek discoveries by centuries.

Contribution

It reveals that the Egyptian pyramids contain mathematical information and geometric solutions previously thought to be known only in later Greek mathematics.

Findings

Egyptians knew how to calculate sphere circumference, volume, and area 2000 years before Greeks.

The Bent Pyramid encodes solutions to the problems of sphere cubature, cube duplication, and angle trisection.

Pyramids reflect an intent to engrave fundamental geometric concepts.

Abstract

The Great Pyramids of Egypt hide mathematic information unknown up to date. The measurements of the three Great Pyramids of Egypt at Giza show that Egyptians knew how to calculate the circumference, the volume and the area of the sphere 2000 years before Greeks. The Bent pyramid shows the three great problems of geometry of antiquity: cubature of the sphere, duplication of the cube, trisection of the angle. According to these findings, we assert that Egyptians wanted to engrave basic concepts in measures and positions of Great Pyramids.--Les grandes pyramides d'\'Egypte dissimulent des informations math\'ematiques ignor\'ees jusqu'\`a aujourd'hui. Les mesures des trois grandes pyramides d'\'Egypte \`a Gizeh r\'ev\`elent que les \'egyptiens de la IVe dynastie savaient calculer la circonf\'erence, le volume et l'aire de la sph\`ere 2000 ans avant les Grecs. La pyramide rhombo\"idale affiche les trois grands probl\`emes de g\'eom\'etrie de l'antiquit\'e : cubature de la sph\`ere, duplication du cube, trisection de l'angle. Ainsi, nous affirmons que les \'Egyptiens voulaient graver de fa\c{c}on indestructible les concepts de base de la g\'eom\'etrie.