MAU23302 - Euclidean and Non-Euclidean Geometry Dr. David R. Wilkins

Euclid Study Notes

• Euclid Study Notes (D.R. Wilkins)

Course Content

Euclid's Elements of Geometry, Book I

• Euclid's Elements, Book I, translated and edited by Thomas, L. Heath (1908), Website Version
• Euclid's Elements, Book I, edited by Dionysius Lardner (1855), Website Version

Euclid's Elements of Geometry, Book I (PDF Version)

• Euclid's Elements of Geometry, Book I (T.L. Heath's Edition, 1925)
• Euclid's Elements of Geometry, Book I (Dionysius Lardner's Edition, 1855)

Commentary on Euclid's Elements of Geometry, Book I

• Sir Thomas L. Heath's Commentary on Book I of Euclid's Elements of Geometry
• Proclus's Commentary on Book I of Euclid's Elements of Geometry, translated by Thomas Taylor (1792)

Euclid's Elements of Geometry, Selected Propositions from Books II, III and IV (PDF Version)

• Selected Propositions from Euclid's Elements of Geometry, Books II, III and IV (T.L. Heath's Edition, 1925)

• MAU23302, Hilary Term 2022, Commentary on Selected Propositions from Euclid's Elements, Books II to IV.

Euclid's Elements of Geometry, All Propositions from Books II, III and IV (PDF Version)

• Euclid's Elements of Geometry, Book II (T.L. Heath's Edition, 1925)
• Euclid's Elements of Geometry, Book III (T.L. Heath's Edition, 1925)
• Euclid's Elements of Geometry, Book IV (T.L. Heath's Edition, 1925)

Euclid Presentation Slides

• Euclid Presentation Slides (D.R. Wilkins)

Lecture Material covering Part II (Non-Euclidean Geometry) for Hilary Term 2024

Course Notes:—

• MAU23302 Course Notes, Hilary Term 2024, Part II, Non-Euclidean Geometry

Slide presentations:—

• MAU23302 slide presentations concerning non-Euclidean geometry in Hilary Term 2024.

Matching hyperbolic and flat Euclidean expositions of the Elements of Geometry for the hyperbolic plane and the flat Euclidean plane (following Euclid, Book I, Propositions 1—28)

• The Hyperbolic Elements of Geometry
• The Flat Euclidean Elements of Geometry (Book I, Propositions 1-28), with proofs based on those for the Hyperbolic Plane

Material associated with Previous Academic Years

• Material associated with the Academic Year 2022/23
• Material associated with the Academic Year 2021/22
• Material associated with the Academic Year 2020/21
• Material associated with the Academic Year 2019/20
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Work in Progress

NOTE: material made available under this heading is work in progress, subject to change, and may be removed from the World-Wide Web, or made available at a different URL, at some later date.

• Selected propositions, and associated notes, from Robert Simson's edition of Euclid's Elements in English (5th edition, 1775) [WORK IN PROGRESS]
• An Overview of Geometry for Post-primary School Mathematics in Ireland (commenced 2018)
• Editions of Euclid (2015 version, updated January 2020)

Additional Material

• Resources relevant to Euclid's Elements of Geometry

Related Course Material taught in Previous Years

• MA232A Module Webpage (Michaelmas Term 2017 and 2015)
  
  

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Back to D.R. Wilkins: Lecture Notes

Dr. David R. Wilkins, School of Mathematics, Trinity College Dublin.