Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 85
he plane 2; = A; is an ellipsewhose semi-axes are aVlJ nk and 6V2 >(A-, respectively. If A; < 0,the ellipse is imaginary. If A- = 0, the ellipse reduces to a point,the origin. As A increases, the semi-axes of the ellipse increasewithout limit. The section of the paraboloid by the plane y = A… … Fig. 28. li a — b, the paraboloid istlie surface of revolutiongenerated by revolving the parabola — = 2 nz, y = 0about the Z-axis. 61. The hyperbolic parab-oloid. The surface definedby the equation The sections by the planes x =k are the congruent parabolas r_9 = Z vz 7.M2 ^, x = k. Their vertices…
Geometry, Analytic
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