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Analytic geometry of space (1914)

Snyder, Virgil, 1869-1950, Sisam, Charles Herschel, 1879-, Hill, Theodore Preston. Early American mathematics books. CU-BANC · New York, H. Holt and Company · leaf 83

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he semi-axes; their lengths are a, b, c. We shallsuppose the coordinate axes are so chosen that a ^ b ^ c > 0. Thesegment joining the vertices on the X-axis is then known as themajor axis; that joining the vertices on the F-axis as the meanaxis; that joining the vertices on the Z-axis as the… … FIG. 25. c2 * c creases from 0 to c, the axes of the ellipses of section decrease. If | A: = c, the ellipse reduces to a point. If k I > c, the ellipse of section is imaginary, since its axes are imaginary. The real part of the surfacetherefore lies entirely between theplanes z = c andz= — c. In…

Geometry, Analytic

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