An elementary treatise on coordinate geometry of three dimensions (1912)
Bell, Robert J. T. (Robert John Tainsh), 1877-1963 · London : Macmillan and co., limited · leaf 349
, 0, 0 ). [CH. XVI. CHAPTER XVI. CURVATURE OF SURFACES. 219. We now proceed to investigate the curvature at apoint on a given surface of the plane sections of the surfacewhich pass through the point. In our investigation weshall make use of the properties of the indicatrix definedin § 184. If the… … Fig. 60. 220. Curvature of normal sections through an ellipticpoint. If rt — s2>0 the indicatrix is an ellipse, (fig. 60).Let C be its centre, CA and CB its axes, and let CP be any §§219-221] CURVATURE OF NORMAL SECTIONS semidiameter. Then, if p is the radius of curvature of the CP normal…
Geometry, Analytic
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