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Trinity College Dublin

MA232A - Euclidean and Non-Euclidean Geometry
Dr. David R. Wilkins

Examination Syllabus for the Annual Examination 2018

Course Material for Michaelmas Term 2017

Section 1: Incidence, Linear Ordering and Pasch's Axiom [A4 format] [Beamer format]
Section 2: Magnitude and Congruence [A4 format] [Beamer format]
Section 3: Euclid's Elements: Book I
[Preliminary Draft of Statements of Selected Propositions from Book I of Euclid's Elements of Geometry, presented in a format suitable for inclusion in Examination Questions]
[Euclid's Elements, Book I, translated and edited by Thomas, L. Heath (1908), Website Version]
[Euclid's Elements, Books I to IV, translated and edited by Thomas, L. Heath (1908), PDF Version, not including Heath's Commentaries]
[Euclid's Elements, Book I, edited by Dionysius Lardner (1855), Website Version]
[Euclid's Elements, Book I, edited by Dionysius Lardner (1855), PDF Version]
[The First Six Books of the Elements of Euclid by John Casey (Project Gutenberg)]
Section 4: Euclid's Elements: Selected Propositions from Books II, III and IV
[Thomas L. Heath's Translation of Selected Propositions, annotated with additional notes.]
[Selected Circle Theorems [SUPPLEMENTARY BEAMER PRESENTATION - NOT THE OFFICIAL NOTES FOR THE SECTION!]
Section 5: Vector Algebra and Spherical Trigonometry [A4 format] [Beamer format]
Section 6: Stereographic Projection [A4 format] [Beamer format]
Section 7: Möbius Transformations of the Riemann Sphere [A4 format] [Beamer format]
Section 8: Models of the Hyperbolic Plane

Other Stuff from the Academic Year 2017/18

Course Material from Michaelmas Term 2015


Back to D.R. Wilkins: Lecture Notes

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