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 215
eans of a pencil at P which describes the hyperbolicarc. Of course only a portion of the hyperbola can be tracedin this manner. 208. Equation of the Hyperbola. If the line F.F^ be takenas the axis Ox, its perpendicular bisector as the axis Oy, and ifi^2^i = 2 c, the condition F.P-F,P= ±2 a becomes… … ^■=1, ^*-^ Fig. S() But in the present case c > a. while for the ellipse we hadc < a. We put, therefore, for the hyperbola C — cr = O;the equation then reduces to the form (3) ^ a- which is the cartesian equation of the IviperhoJa referred to its axes. 209. Properties of the Hyperbola. The…
Geometry, Analytic
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