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Analytic geometry, for technical schools and colleges (1897)

Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 213

An illustration from Analytic geometry, for technical schools and colleges, 1897, leaf 213
n any position, that is, the equation of the hyperbolic paraboloid, is —=2x. c b Art. 101,—The Conoid The center of an ellipse moves in a straight line perpendicu-lar to the plane of the ellipse. The major axis is constant forall positions of the ellipse, the minor axis diminishes directlyas the… … y- where 4-^^ — 1-:: ^ —2 — -^s rt a, and, from similar z triangles, — = -, whence rt b c -(c — z). The efjuation of thec generating ellipse in any posi-tion, that is, the equation of the conoid, is lP{c Art. 102. Surfaces represented by Equations inThree Variables An equation ffi{x, ?/, z)=0, when…

Geometry, Analytic

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