Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 270
Fig. 133 -r-M- l^-hH) Thus every hyperboloid of one sheet contains two sets of recti-linear generators (Fig. 133). XIII, § 283] QUADRIC SURFACES 259 283. Rulings on a Hyperbolic Paraboloid. The hyperbolicparaboloid (Fig. 134) ^-r=2, also contains two sets of recti,linear generators, namely, a b a b… … Fig. 134 EXERCISES 1. Derive the equation of the tangent plane to : (a) the elliptic paraboloid ; (6) the hyperbolic paraboloid;(c) the elliptic cone. 2. The line perpendicular, to a tangent plane at a point of contact iscalled the normal line. Write the equations of the tangent planes andnormal…
Geometry, Analytic
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