Module Overview


This module  develops a deep understanding of Euclidean Geometry and introduces the student to non-Euclidean Geometry.

Module Code

MATH 2810

ECTS Credits


*Curricular information is subject to change

Geometry and the Euclidean Plane:

The axiomatic approach to geometry, angle, transformations of the plane, congruent triangles, the axiom of parallels, quadrilaterals and parallelograms, similar triangles, area, Ceva’s Theorem, circles, Ptolemy’s Theorem..  Parametrization and  length of a curve.

Non-Euclidean Geometry:

Examples of geometries in which the axiom of parallels is false, geodesic paths, the punctured plane.

Spherical Geometry:

Geodesics and distance on the sphere, converting from spherical to rectangular coordinates, spherical distance, spherical trigonometry, spherical version of Pythagoras’ Theorem, angles and area in spherical geometry

Lectures supported by tutorials

Module Content & Assessment
Assessment Breakdown %
Formal Examination70
Other Assessment(s)30