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