Master of Science (MS)
Euclid’s Elements is the foundation for geometry. Book V of Euclid’s Elements, which is independent from the earlier books, focuses on multiples, ratios, and proportions. This paper presents a model of the conceptual content of Book V, but using carefully selected modern notation to represent Euclid’s ideas without changing them drastically. All of the propositions and proofs from Euclid have been restated using just enough modern language to make clear for a modern reader. We also present a modern theory that bears analogy, proposition by proposition, to Euclid’s theory, but uses rigorous modern methods of proof.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Stecher, Mark Robert, "Modern interpretation of Euclid's theory of ratio and proportion" (2005). LSU Master's Theses. 3386.
James J. Madden