Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 210
the sphere. Art. The Hyperboloids In the ZX-plane there is the fixed hyperbola — —r, = 1, inthe Zlplane the fixed hyperbola ^ —^, cr1. The figure gen- Z crated by the ellipse whichmoves with its center onthe Z-axis, the plane of theellipse perpendicular to theZ-axis, the axes of the el-lipse in any… … rs rt ri_?=:!, ^-^=1, whence ^s=a-(l + ^, 7r=b(l+\rr c- b c- \ c-J \ c-J Hence the equation of the generating ellipse in any posi-tion, that is, the equation of the hyperboloid of one sheet, is a- b- c- yS ^2 In the ZX-plane there is the fixed hyperbola ——0 = ^^ 196 ANALYTIC GEOMETRY in the…
Geometry, Analytic
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