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Euclid Book 1 Props I - V - A Critical Review - Sociology and Pure Mathematics - N J Wildberger

Insights into Mathematics via YouTube

Overview

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This course critically examines Euclid’s first five propositions in The Elements, covering geometric constructions, angles, congruence, and the logical foundations of geometry.

Syllabus

Intro
Elements Book 1 Prop 1 - To describe and Equilateral Triangle upon a given finite Right Line.
Elements Book 1 Prop 2 - At a given Point, to put a Right Line equal to a Right Line given.
Elements Book 1 Prop 3 - Two unequal Right Lines being given, to cut off a Part from the great Equal to the lesser.
Elements Book 1 Prop 4 - Theorem
Elements Book 1 Prop 5 - Theorem - The Angles at the Base of an Isosceles Triangle are equal between themselves; and if the equal Sides be produced, the Angles under the base shall be equal between themselves.
Problems logic with Euclid so far
Conclusion

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Insights into Mathematics

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