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Analytic geometry of space (1914)

Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, b. 1879 · New York : H. Holt and Company · leaf 79

An illustration from Analytic geometry of space, 1914, leaf 79
f | A; | > 6. Finally, it is seenthat the section x = k is a real ellipse, a point, or an imaginaryellipse, according as | k \ is less than, equal to, or greater than a.The ellipsoid, there-fore, lies entirelywithin the rectan-gular parallelepipedformed by the planesX = a, ?/= b, z =c;x= - a,… … about its minor axis. This surface is called an oblate spheroid.If a > 6 = c, the ellipsoid is the surface of revolution obtained Arts. 56, 57] THE HYPERBOLOID OF ONE SHEET 65 by revolving the same ellipse about its major axis. It is called aprolate spheroid. If a = b = c, the surface is a…

Geometry, Analytic

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