QUADRILATERALS
MATH 410, CSUSM. SPRING 2008. PROFESSOR AITKEN
1. Introduction
Quadrilaterals played a important part in the history of the parallel postulate. For instance, Clairaut proposed the axiom that rectangles exist as a substitute for the parallel
EUCLIDEAN GEOMETRY
MATH 410, CSUSM. SPRING 2010. PROFESSOR AITKEN
1. Introduction
Euclidean Geometry is obtained by adding a parallel axiom to Neutral Geometry. What
parallel axiom do you add? It turns out there are several axioms that work equally well.
NEUTRAL GEOMETRY
MATH 410, CSUSM. SPRING 2010. PROFESSOR AITKEN
1. Introduction
In the previous document on IBC Geometry we saw that much of traditional Euclidean
geometry can be given a careful and rigorous treatment in IBC Geometry. There are, however,