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General Theory of Curves on Ruled Surfaces

General Theory of Curves on Ruled Surfaces

§ 1. Relation between the differential equations of the surface and of the curves situated upon it.Let a ruled surface be given by means of the system of differential equations y" + Pu y + Pu*1 + ?u y + ?wz = ° ■ z" + p-ixy' + Pnz' + …