FPG9 Two dimensional Collineations And Correlations

Projective geometry is more basic and important than Euclidean geometry, because it uses less assumptions, and in concerned with statements which remain true for a much wider range of different geometric setups. In fact, with this algebraic approach, we do not even define a metric. We shall see how such ideas, as well as those of polarity, harmony and conic curves arise as natural consequences of our small set of initial axioms.

[RichardSouthwell]

Nearly finished with this series now. This lecture talks about some very powerful results that hold for two dimensional collineations, homologies, elations and correlations.