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Is there a reason why there are no triply-ruled surfaces found in spatial geometry? Does it have to do with the fact that there are at most two dimensions/parameterizations for a surface? If that's so, then do 3D hyper-surfaces in a 4D+ space allow for triply ruled surfaces?

To be more clear, I am trying to find a proof of sorts that can demonstrate this fact, and whether or not the proof can be generalized to higher dimensional surfaces and spaces.

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    The first Google result for "triply ruled surface" gives a book excerpt: "16.5 There are no non-planar triply ruled surfaces." http://books.google.com/books?id=bomkJMq2H9sC&pg=PA228&lpg=PA228&dq=triply+ruled+surface2011-06-11
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    "A treatise on analytic geometry in three dimensions" is a good source too: http://www.archive.org/details/cu319240015210652011-06-12

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