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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 267

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 267
inate has the unique sign inthe equation. When a = b, the equation becomes — + ^- = 1, H a2 a2 c2 which is the equation of an unparted hyperboloid of revo- 250 ANALYTIC GEOMETRY OF SPACE [Ch. V, § 30 lution about the Z-axis. The equations « + H— —1 ^2 V2 z2 «2 *- ^ and — — *- + — = 1 represent… … Fig. 18. The section of the surface made by the -X- F-plane is anhyperbola, with its transverse axis 2 a along the X-axis;the section made by the Z-X-plane is also an hyperbola,with its transverse axis 2 a along the X-axis; the sectionby the ^F-Z-plane is imaginary. Sections made by planes parallel…

Geometry, Analytic

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