Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 274
ree coefficients of the loo, 1563 QUADRIC SUKFACES 257 variable terms are equal, it is a sphere. [Ci. Art. 145, equa-tions (8), (9), and (6)]. 156. The un-parted hyperboloid: equationFrom the equation a* 6* c2 6« c« [85] the following properties of its locus may be derived : (1) The trace on the… … Fig. 103. (2) The traces on planes parallel to any coordinate plane aresimilar conies, ellipses, or hyperbolas, respectively [Art. 153]. (3) The traces on the planes x = a, x= — a,y = b,y = — bare in each case a pair of intersecting straight lines. (4) The equation may be written 258 EQUATIONS OF…
Geometry, Analytic
Internet Archive · Cornell University Library · Public Domain Mark 1.0. Free to use for anything.
