Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 263
ally beyond ± c, the section becomes imaginary;hence the surface does not extend beyond the planesz = o and z = — c. Similarly, the sections made by the coordinate planes 246 ANALYTIC GEOMETRY OF SPACE [Ch. V, § 28 Y-Z and Z-X and by planes parallel to them will befound to be ellipses with centres… … Fig. li If a = 5, the equation becomes f + zl 1. a* a* c2 Sections made by planes parallel to the ^-I^-plane willnow be circles, whose centres lie along the Z-axis, and Ch. V, § 29] QUADRIC SURFACES 217 the surface is an ellipsoid of revolution about the i£-axis. Similarly, — + % + — = 1 and — + £-…
Geometry, Analytic
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