Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 241
ngle at its vertex; OQ indicates the cutting plane, CVCthat plane through the axis of thecone which is perpendicular to thecutting plane. The intersectionOQ of these two planes is evidentlyan axis of symmetry for the conic. The conic is a parabola, ellipse,or hyperbola, according as OQ isparallel… … Fig. 98 If the angle a parabola if yS = 2 « (Fig. 98),an ellipse if y3 > 2 « (Fig. 99),a hyperbola if /? < 2 « (Fig. 100). In each of the three figures CC represents the diameter 2 rof any cross-section of the cone {i.e. of any section at rightangles to its axis). We take 0 as origin, OQ as…
Geometry, Analytic
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