Course Description |
To introduce students who are not majoring in mathematics to the methods and results of Euclidean geometry and their application to a rich variety of plane figures and 3-dimensional solids, and also to the basic concepts and assumptions behind theories of alternative (or “non-Euclidean”) geometries.
On completing this module, the student should be able to describe the important properties of triangles, circles, polygons, parallelograms and other special quadrilaterals, calculate lengths, angles, areas and volumes of various simple geometrical objects, prove various standard theorems of Euclidean geometry, construct a range of simple plane figures using only straight edge and compass, list the important features of elliptic and hyperbolic geometries, and calculate the lengths, angles and areas in elliptic or hyperbolic triangles, circles and lunes.
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