Abstract
The projective differential geometry of a configuration composed of three ruled surfaces whose generators are in correspondence in sets of three has been discussed in two recent papers by the author. t It is the purpose of the present paper to present briefly an analytic basis for the projective differential geometry of a configuration composed of four ruled surfaces whose generators correspond in sets of four, each set containing one line element from each surface. This correspondence is brought about by choice of a parameter common to all four surfaces. For defining system we choose a set of eight ordinary first-order linear and homogeneous differential equations in eight dependent variables, together with four linear and homogeneous equations of order zero:
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