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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 325

An illustration from Analytic geometry and calculus, 1917, leaf 325
with its transverse axis parallel to OX, the ends of thetransverse axis lying on the parabola z = ax2. If z = — zv we may write the equation in the form ■v- (6) an hyperbola with its transverse axis parallel to OY, the ends of thetransverse axis lying on the parabola z = — by1. Ex. 8. z = kxy,… … Fig. 194 Revolve the planesXOZ and YOZ about the axis OZ, which is held fixed, through an angle of — 45° into newpositions XOZ and YOZ. By § 19, the formulas of transformation are , _ x + y _ — x + // Z- , X- , V2 Substituting these values in (1), and simplifying, we have z = 2 a xy,which is the…

Geometry, Analytic · Calculus

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