Lecture

Concatenation of Arcs in Geometry

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In course

MATH-126: Geometry for architects II

Ce cours traite des 3 sujets suivants : la perspective, la géométrie descriptive, et une initiation à la géométrie projective. ...

Description

This lecture explores the concatenation of arcs in geometry, focusing on the tangential connection of circular arcs. It discusses the historical significance of arc concatenation, from Euclid's propositions to modern reformulations. The presentation covers the construction of ellipses and ovals, the approximation of ellipses by ovals, and the architectural applications of arc concatenation in Roman amphitheaters and Baroque churches.

Instructor

Bernard Cache

Official source

Ontological neighbourhood

Mathematics

Geometry: Euclidean geometry

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