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The elements of coordinate geometry (1895)

Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 356

An illustration from The elements of coordinate geometry, 1895, leaf 356
hs of the semi-axes are therefore fJ6 and 2. Hence, to draw the curve,take the point C, whose coordi-nates are (2, 3). Through it draw ACA in-clined at an angle tan~i 2 to theaxis of X and mark off AC = GA=>J6.Draw BCB at right anglesto AC A and take BG=CB=:2. The required ellipse has A Aand BB… … Ex. 2. Trace the curve x^~Bx2j + if + 10x-10y + 21 = 0 1.1 is positive, the curve is a hyperbola. .(1). Since (^7 [Art. 358.] The centre {x, y) is given by - 3_ ^ ^ and —x + y -5 = 0, so that ^=-2, and ^ = 2. The equation to the curve, referred to parallel axes through thecentre, is then a;2 -…

Coordinates · Geometry, Analytic

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