Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author · New York, The Macmillan company · leaf 131
yperbolicarc. Of course only a portion of the hyperbola can be tracedin this manner. 118. Equation of the Hyperbola. If the line F^F^ be takenas the axis Ox, its perpendicular bisector as the axis Oy, and ifF^i = 2 c, thecondition F^P—FJ* = ± 2 a becomes (Mg. 71) : ^(x + cf + f-V(x-cy + y^=^±2a.… … Fig. 71But in the present case c > a, while for the ellipse we hadc < a. We put, therefore, for the hyperbola the equation then reduces to the form ^-2^=1, which is the cartesian equation of the hyperbola referred to its axes. 119. Properties of the Hjrperbola. The equation (3) showsat once:…
Geometry, Analytic
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