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Some Properties of Developable Surfaces
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Preliminary. On a surface referred to a system of parametric curves p = const, and q = const, consider a point at which the fundamental magnitudes of the second order L, M, N all vanish. At such a point, the equation
Ldp 2 + 2M dpdq + Ndq2 = 0
determining the inflexional directions becomes an identity. There are two possibilities.
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