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Transformations of Surfaces Applicable to a Quadric

1919
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Transactions of the American Mathematical Society
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If a conjugate system of curves, or net, N, on a surface S and a congruence G of straight lines are so related that the developables of G meet S in N, the net and congruence are said to be conjugate. Two nets conjugate to the same congruence are said to be in the relation of a transformation T, if the nets are not parallel. In a previous paperf the author developed a general theory of these transformations T. When two surfaces, S and S, are applicable, there is a unique net on S which is

doi:10.2307/1988805
fatcat:nahjvzc5mbcbldjf2fegavstfm