Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 211
position, that is, the equation of the hyperboloid of two sheets, is — ■ Art. 100. — The Paraboloids In the XF-plane there is the fixed parabola -if — 2 hx, in theZX-plane the fixed parabola z^=2 ex. The figure generatedby an ellipse which moves with itscenter on the X-axis, its plane… … CUR VED S UIIFA CES 11)7 From the equations of the fixed paraboUis rs = 2 bx, rt = 2 ex.Hence the equation of the generating ellipse in any position, that is, the e(iuation of the elliptical paraboloid, is •—-{— = 2x. b c In the ZX-plane there is the fixed parabola 2- = 2 ex, inthe Xl-plane the…
Geometry, Analytic
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