Abstract

The purpose of this investigation is to carry on the researches of G. M. Green concerning the projective differential geometry of nets of space curves. We assume that the net is not a conjugate net, and, unless otherwise stated, that it is not the asymptotic net. We assume, furthermore, that the sustaining surface is non-developable. The present investigation may, therefore, be considered as an extension of Green's paper on Nets of space curves.t We summarize for future reference some of the results obtained by Green in the paper cited. Let the homogeneous co6rdinates y(l),y (2), y(3),y (4) of a point in projective space of three dimensions be given as analytic functions

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