Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 209
Akt. The Ellipsoid In the XF-plane there is the fixed ellipse ^-f--^ = 1, in the.2 2 « ^ ZX-plane the fixed ellipse - + - = 1. The figure generateda- c-by the ellipse which moves withits center on the X-axis, the planeof the ellipse perpendicular to theX-axis, the axes of the ellipse inany position… … CUli \ED S URFA CES 195 —+-- = 1, — + --=1, whence rs =lrll- \,rt—c-(l ]• a- b- a- c- \ a-j \ a-j Hence tlie equation of the generating ellipse in any position, that is, the e(uiation of the ellipsoid, is — + 4, + —, = 1- When (r b- &a, b, c arc unequal, the figure is an ellipsoid with…
Geometry, Analytic
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