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Triads of Ruled Surfaces

1927
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Transactions of the American Mathematical Society
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The projective differential geometry of a configuration composed of two ruled surfaces whose generators are in one-to-one correspondence has been discussed by E. P. Lanef. He uses for defining system of equations a set of four ordinary linear first order differential equations in four dependent variables which, with slightly changed notation, we will write in the form y' = any + aXîz + aX3a + aXiß, z' = a2iy + aaz + aî3a + a24ft a' = lay + I12Z + k3a + laß, ß' = /2iy + luz + h*a + hiß,

doi:10.2307/1989210
fatcat:wpjmdvk2zzgcdfltcvsp5yt7wm