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Analytic geometry and principles of algebra (1913)

Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 350

An illustration from Analytic geometry and principles of algebra, 1913, leaf 350
he following surfaces of revolution generated ? (a) y^- + z2 = :r^. (&) 2x^ + 2y^-^z^O. (c) x^ + y^-z^~-2x + i = 0. 12. Find the equation of the surface generated by the revolution ofthe ellipse x + 4?/- — 4,r = 0 : (a) about the mnjor axis ; (b) about theminor axis ; (c) about the tangent at… … Fig. 14y on the axes Ox, Oy are ± a, ± b; the axis Oz does not intersectthe surface. 359. Cross-Sections. The plane Oxy intersects the surfacein the ellipse ^ + ^=1;a b cross-sections perpendicular to Oz give ellipses with ever-in-creasing semi-axes. The planes Oyz and O^x* intersect the surface in…

Geometry, Analytic

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