Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 281
he surface is called the elliptical hyperholoid of one sheet.The equation may be reduced to the formx^ . y^ z^ _ -,a?- y c^ / 266 SOLID ANALYTIC GEOMETRY. This surface may be generated by an ellipse of variabledimensions whose centre remains constantly on the Z-axis,and whose plane is perpendicular… … Fig. B. If we suppose A = B, then will a = h, and the equation ofthe surface becomes 9 1 ^ - —= 1, the hyperboloid of revolution of one sheet. If A = B = C, we have x -^ y^ — z = a^, the equilateralhyperboloid of revolution of one sheet. If L = 0, the equation represents a right cone having…
Geometry, Analytic
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