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On Surfaces Traced out by the Motion of an Invariable Curve
Published online by Cambridge University Press: 03 November 2016
Extract
Suppose that a curve Г of constant shape moves in space so as to trace out a surface Σ. The problem has suggested itself to various authors whether it is possible for Г to be always a line of curvature, geodesic, asymptotic line, etc., on Σ. The following elementary method of solving such problems may be of interest.
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- Copyright © Mathematical Association 1913
References
page 37 of note * See Frost’s Solid Geometry, Ch. XXIV
page 37 of note † See Bianchi’s Geometria Differenziale, § 317.