We follow Coxeter's books Geometry Revisited and Projective Geometry on a journey to discover one of the most beautiful achievements of mathematics. Axioms are proposed much like those of Euclid with a difference that allows for a marvelous principle of duality which says that any statement about points and lines can be stated with "points" and "lines" interchanged and will be equivalent to the original statement. It is also interesting to find out along the way that much of the original foundations originated with architecture and the theory of perspective and representing 3D objects on a 2D piece of paper.