Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 276
njugate axis. Its equation can be readilyobtained from this definition.* Moreover, every equation of the form An? + Bjf — Gz^— K=Qrepresents an un-parted hyperboloid. If the two positive coeffi-cients are equal, i.e., if a=b, the quadric is the simplehyperboloid of revolution [Art. 145, equation… … Fia. 104. (1) The traces on the xy- and zavplanes are hyperbolas, hav-ing serai-axes a and h, and c and a, respectively, with the trans-verse axis along the avaxis; while the traces on the planesparallel to the ^z-plane are imaginary if x lies between a and— a, real ellipses if x is beyond those…
Geometry, Analytic
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