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Plane and solid analytic geometry; an elementary textbook (1901)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 256

An illustration from Plane and solid analytic geometry; an elementary textbook, 1901, leaf 256
e axis isnow parallel to the Z-axis. As xx increases, the semi-axesincrease without limit. Ch. V, § 29] QUADRIC SURFACES 237 Similarly, the sections made by planes parallel to theZ-X-jAsaie will be found to be hyperbolas, the transverseaxis being parallel to the X-axis, when the distance of… … Fig. 17. The surface is called the hyperboloid of one sheet, or theunparted hyperboloid, extending along the Z-axis. The equations --^ + t^ + ^=1 and \ ~ jo + \ = 1 representunparted hyperboloids, extending along the X and P-axesrespectively; the hyperboloid in each case extendingalong the axis…

Geometry, Analytic

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