ABSTRACT
In this chapter, we provide some basic characterizations of the Desarguesian planes.
We have defined a Desarguesian projective plane as a PG (2,K ) where K is a skewfield. Similarly, a Desarguesian affine plane is an AG (2,K). There is a ‘configuration’ which occurs in a Desarguesian projective plane which provides its name and which, furthermore, characterizes Desarguesian planes. We present this here as it shall be required in a later chapter as a tool in the characterization of projective geometries.
