Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 163
er y2 — 4y + 8x + 28 = 0.There is here only one quadratic term. By completing the square,we have 148 PLANE ANALYTIC GEOMETRY. y2 — 4y + 4 = — 8x — 24,or (y - 2)-2 = - 8 (x + 3). Placing • y - 2 = y, X + 3 = x,we have y2 - - 8x. This is the equation of a parabola, in which 4p = —By § 67, w^e have… … Fig. 67. THE CONIC SECTIONS. 149 71. Limiting^ Cases of Conic Sections. There are certain cases where the process of completingthe squares, as used in the previous article, leads to aresult which is not one of the equations of the ellipse, hyper-bola, or parabola, although bearing a strong…
Geometry, Analytic
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