Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 251
e see that the surface does not meet either they-axis or the Z-axis and consequently has no trace upon theYZ-^\sLne. The traces upon the other coordinate planes arehyperbolas. 234 EQUATIONS AND THEIR LOCI [Chap. XIV. The sections of the surface parallel to the lZ-plaue form asystem of concentric… … FiG. 134 sheets is a surface of revolution if hface is shown in Fig. 134. EXERCISES 1. Construct the hyperboloids 4 x^ — 9 2/^ — 16 02 = 1 and x^—4 2/2 —4 22 = 1.Which is a surface of revolution ? 2. Show that _:^ + r_?^land-^-^ + ?^=la^ h^ c? «2 y2 f^2 are equations of hyperboloids of two sheets ;…
Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
