Surfaces with orthogonal loci of the centers of geodesic curvature of an orthogonal system
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چکیده
منابع مشابه
Surfaces with Orthogonal Loci of the Centers of Geodesic Curvature of an Orthogonal System* by Malcolm Foster
We consider a surface 8 referred to any orthogonal system. Let Ot and G* be the centers of geodesic curvature of the curves u = const, and v = const, respectively, through any point M of 8. As M is displaced over the entire surface the loci of 0± and 02 will in general be two surfaces St and S2, corresponding elements of which are those which result from a common displacement of If. We ask: Wha...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1924
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1924-03890-7