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Plane and solid analytic geometry; an elementary textbook (1905)

Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 265

An illustration from Plane and solid analytic geometry; an elementary textbook, 1905, leaf 265
imit as the cutting plane recedesfrom the X-y-plane in either direction. We have now sufficient information to draw the figure. It is instructive, however, to investigate the plane sec-tions parallel to the other two coordinate planes. 248 ANALYTIC GEOMETRY OF SPACE [Ch. V, § 29 The section made by… … Fig. 16. semi-axes both approach zero, and the hyperbola approachesa pair of intersecting lines. When x-^ = a, the section istlie pair of straight lines, f- = 0, in the plane x = a, intersecting on the X-axis. When x^ > a, the equationagain represents an hyperbola, but the transverse axis isnow…

Geometry, Analytic

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