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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 161

An illustration from Plane and solid analytic geometry, 1897, leaf 161
e equation of an ellipse, in which a = Vs, b = \/2. Since a >> b, weapply the first set of formulas of 8 68, with the following results.- Centre, (x = 0, y = 0);Major axis, y = 0; 146 PLANE ANALYTIC GEOMETRY. Vertices, (x = ± V3, y = 0) ;Foci, (x = ± 1, y = 0) ;Directrices, x = ± 3.If we now… … Ex. 2. Let us consider 2x2 _ 3y2 -|- gx - 6y + 11 = 0.As before, we have the following work: Now place we have 2 (x2 + 4x) - 3 (y2 + 2y) = - 11,2 (x2 + 4x + 4) - 3 (y2 + 2y + 1)2(x + 2)2-3(y + 1)2 = -6. X + 2 = x, y + 1 = /; 2x2 — 3y2 = — 6, 11 + 8-3, The curve is therefore an hyperbola, with the…

Geometry, Analytic

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