Lecture

Quadrature & Rectification

In course
DEMO: nisi eu culpa duis
Culpa occaecat cillum labore voluptate nostrud aute voluptate. Sit reprehenderit excepteur laboris qui officia consequat. Commodo nostrud est esse consequat Lorem sit proident elit cupidatat. Elit Lorem laboris id et nisi in ut deserunt. Ad esse duis quis qui commodo laboris proident ea commodo. Cupidatat laboris officia magna proident ad irure pariatur non exercitation ut consectetur eiusmod. Do incididunt ex ex labore aute cupidatat labore laboris magna proident ut consequat.
Login to see this section
Description

This lecture covers the historical problem of quadrature of the circle, where Euclid's method of decomposing polygons into triangles is explained. It also delves into Archimedes' approximation of pi and the construction of regular polygons. The impossibility of trisecting an angle using only a ruler and compass is demonstrated, leading to the introduction of mechanical and mathematical instruments. The use of the conchoid in architecture, specifically in determining the curvature of columns, is also discussed.

Instructor
deserunt fugiat
Cupidatat cillum labore commodo ullamco. Labore fugiat sit duis sint quis. Cillum excepteur irure cupidatat proident pariatur. Excepteur est ullamco velit consequat tempor elit in cillum enim culpa.
Login to see this section
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (36)
Division in Extreme and Mean Reason: Luca Pacioli's Influence
Delves into the concept of Division in Extreme and Mean Reason (DEMR) and its historical significance in geometry.
Geometric Operations: Inversion & Orthogonal Circles
Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
Constructing Polygons: Euclidean Geometry
Explores algebraic divisions, geometric constructions, Luca Pacioli's contributions, and the constructibility of regular polygons.
Show more