Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 113
ie required equation to be yy =p {x ^x) . . . (1) As the reasoning by means of whicli (1) is deduced is per-fectly general, the pole may be without, on, or within theparabola. Cor. 1, If we make, in (1), {x, ?/) = | ^, 0 j, we have — _-2 • ^ — 2 hence, the directrix is the p>olar of the focus.… … Fig. 33. THE PARABOLA. 99 Since the equation is to retain the form •?/2 _ 2pcc . . . (1)let y- = 2px ... (2) be the equation of the parabola when referred to the axes,whose position and direction we are now seeking. It isobvious at the outset that whatever may be the position ofthe axes relatively…
Geometry, Analytic
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