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Euclid's Construction Problems I - Famous Math Problems

Insights into Mathematics via YouTube

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Overview

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This lecture studies construction problems from Euclid's Book I using straightedge-and-compass methods. It connects these constructions with the logical structure of mathematics and includes several fundamental geometric constructions.

Syllabus

Introduction
The constructions of Euclid's Book 1
Euclid and the logical structure of mathematics
Proposition 1: Construct an equilateral triangle on a base
Proposition 10: To bisect a line segment
Proposition 12: To drop a perpendicular line to a line from a point not on it
Proposition 2: To translate a line segment
Proposition 2: To construct a triangle given its three sides as segments

Taught by

Insights into Mathematics

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