Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 271
ptotic lines, it mustbe the equation of the asymptotic cone, Avhich containsall these asymptotic lines of the surface. Multiplying 25i ANALYTIC GEOMETRY OF SPACE [Ch. V, § 33 hy p^ and transforming to rectangular coordinates, itbecomes d^ IP e^ Similarly it may be shown that the asymptotic coneof… … Fio. 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. Y, § 33] QUADRIC SURFACES 25^ las, which have their axes parallel to the Z-axis. Thissurface is shown in…
Geometry, Analytic
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