ABSTRACT

In the previous chapter, we characterized a derivable net combinatorially within a three-dimensional projective geometry. However, this representa­ tion does not provide algebraic or geometric information in the sense that it still does not answer the question of whether or not a derivable net is connected to a regulus net. In this chapter, we use the projective space chacterization combined with the induced collineation group of the deriv­ able net to more fully understand the nature of the net.