Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 280
= — 2. ... AB- H-^ = 3G. THE GENERAL EQUATION. 265 (1) We place x = xo + x, y = yo + y, obtaining 8x2 - 4xy + 5y2 + (16xo - 4yo - 3G) x + (- 4xo + lOyo + 18) y + Sxq^- 4xoyo + 5yo- - 36x0 + 18yo +9 = 0.If we place 16xo — 4yo — 36 = 0, -4xo+10yo+18 = 0,we find xo = 2, yo = ~ 1- Hence the reduced… … Fig. 107. 266 PLANE ANALYTIC GEOMETRY. This is an ellipse, of which the major axis along OX is 6, and theminor axis is 4. (4) The line OX passes through (2, — 1) and makes anglei tan-i (— f) = tan-i 2 with OX. Ex.2. 3Gx2 - 48xy + lGy2 + 52x - 200y - 39 = 0. A = 36, B = 16, H = - 24. .-. AB- H2 = 0.…
Geometry, Analytic
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