Axiomatic Projective Geometry

Bachelor thesis (2019)

Authors

E.B. Haakma Electrical Engineering, Mathematics and Computer Science

Contributors

J. Vermeer Analysis - EEMCS (mentor)
K.P. Hart Analysis - EEMCS (graduation committee member)
E.M. van Elderen Mathematical Physics - EEMCS (graduation committee member)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2019 Emiel Haakma
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Published Date

27-08-2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

Starting with the three axioms of projective geometry, this paper explores concepts such as perspectives, projective maps, and harmonic additions that are unique to this geometry. In addition, important theorems such as Pappus's Theorem, Desargue's Theorem, and the Fundamental Property are mentioned and worked with extensively.