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Biplanar surfaces of order three

1979
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Canadian Journal of Mathematics - Journal Canadien de Mathematiques
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Introduction. A surface of order three, P, in the real projective threespace P 3 is met by every line, not in P, in at most three points. F is biplanar if it contains exactly one non-differentiable point v and the set of tangents of F at v is the union of two distinct planes, say n and 72. In the present paper, we classify and describe those biplanar F which contain the line n C\ r 2 . We describe a surface by determining the tangent plane sections of the surface at the differentiable points.

doi:10.4153/cjm-1979-044-3
fatcat:2y62s5tjgndpfengxtkjmtitdi