Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 271
the equation of the asymptotic cone, which containsall these asymptotic lines of the surface. Multiplying 254 ANALYTIC GEOMETRY OF SPACE [Ch. V, § 33 by p2 and transforming to rectangular coordinates, itbecomes *l+£. _ ?!=n a2 62 c2 Similarly it may be shown that the asymptotic coneof the biparted… … Fig. 20. Fig. 21. parallel to the X-F-plane are ellipses whose axes increaseas the section recedes from the origin. Sections made byplanes parallel to the other coordinate planes are parabo- Ch. V, § 33] QUADRIC SURFACES 255 las, which have their axes parallel to the Z-axis. Thissurface is shown in…
Geometry, Analytic
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