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Analytic geometry and calculus (1917)

Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 324

An illustration from Analytic geometry and calculus, 1917, leaf 324
the equation of a parabola with its v^i^x at 0 and its axis along the positive direction of OZ. IS x = 0, we have = - by*, (3) the equation of a parabola with its vertex at 0 andits axis along the-negat ivedirection of OZ. Placing ./• = ± xv wehave Z = (,.r{ - /;//-, or \f ±(z-ax?), (1) … Fig. 193 a parabola with its axisparallel to OZ and itsvertex at a distance ax* from the plane XOY. It is evident, moreover, that the surface is sym-metrical with respect to the plane YOZ, and that the vertices of 308 SPACE GEOMETKY these parabolas, as different values are assigned to xv all lie on…

Geometry, Analytic · Calculus

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