Axiomatic Projective Geometry
Emiel Haakma (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Hans Vermeer – Mentor (TU Delft - Analysis)
Klaas Pieter Hart – Graduation committee member (TU Delft - Analysis)
Emiel van Elderen – Graduation committee member (TU Delft - Mathematical Physics)
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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.