CONTRIBUTIONS TO THE PROJECTIVE THEORY OF CURVES IN SPACE OF N DIMENSIONS(First Memoir)

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苏步青
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CONTRIBUTIONS TO THE PROJECTIVE THEORY OF CURVES IN SPACE OF N DIMENSIONS; First Memoir;
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<正> In the present paper we propose to establish certain theoremsconcerning plane sections of the circumscribed developable of a curvein the projective n-dimensional space s_n((?)3).The planes in considera-tion are supposed to be in the osculating spaces s3 of the curve.Forthe planes of other kinds the corresponding sections must have a singularpoint of higher order and consequently require more complicated repre-sentation,as we have shown in other places.The allied problemwill be considered in a subsequent paper.
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页码:153 / 173
页数:21
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  • [1] Plane sections of the tangent surface of a space curve[J] . Buchin Su.Annali di Matematica Pura ed Applicata, Series 4 . 1939 (1)