Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 310
, the co-ordinates x audi/ can-not both be real. Hence the surface is wholly included betweenthe two planes ^ = -f ^ a^^d z =. — c. 284 GEOMETRY OF THREE DIMENSIONS. In the same way it is shown that the surface is includedbetween tlie planes x =^ -\- a and x — — a, and also betweenthe planes y —… … If we suppose z = ± c, we have x = 0 and ?/ = 0, as tlioonly values of x and y which can satisfy the equation. Henceeach of the two planes z = -\- c and z = — c meets the sur-face in a single point on the axis of Z, and is therefore tan-gent to the surface. Extending the same proof to the othertwo…
Geometry, Analytic
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