Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 269
It is then apparent that any point whose coordinates satisfythe two equations 0 c b a 1c\ where k is an arbitrary parameter, lieson the hyperboloid. These two equa-tions represent for every value of 7c (^^ 0)a straight line. The hyperboloid of onesheet contains therefore the family oflines… … 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…
Geometry, Analytic
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