Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 249
± a and ± b; and that the surface does not meet theZ-axis. The trace on the XY-^lane is the ellipse a- b~ while the traces on the other two coordinate planes are thehyperbolas = 1, and ^52 - = 1. Any section parallel to the Xr-plane is the ellipse a 1+!-, + b !+■ = 1, which is clearly real for any… … = 1-^. Fig. 133 If a; < a, the transverseaxis of the correspond-ing hyperbola is paral-lel to the y-axis, andif x>a, the transverseaxis of the hyperbola isparallel to the .Z-axis-If X = a, the section ofthe surface is the twostraight lines 0 c Similarly, the sections parallel to the XZ-plane…
Geometry, Analytic
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