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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 209

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 209
axis, but not in theZX-plane. Suppose PP to re-volve about the Z-axis. Theequation of the surface gener-ated is to be found. The equations of the projec-tions of PP on the planes ZXand ZY are x = a.,y = bz. Thepoint P describes the circum-ference of a circle whose equa-tion is x2 + ^2 _ ,.2. The… … 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…

Geometry, Analytic

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