Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 169
or - + i^ = 1.4 9 Fig. iK) The locus is therefore an ellipse whose semiaxes are 2 and 3 Figure 90shows the curve and the three sets of axes.As a second example consider the equation 2 a;2 - x?/ - 3 2/2 - 2 a: + 18 2/ - 24 = 0. Here we find A = 0 and C = - ^-f. The roots of (14), Art. 112, are… … Fig. 91 (Art. 85). Solving the given equation for oneof the variables, considering the other as a knovninumber, reveals the factors at once. Thus, solv-ing for X, we have ^^2M:_2 5y-U_4 4 Hence the locus consists of the two lines2x-Sy + 6 = 0 and »• + ?/ - 4 = 0 (Fig. 91). EXERCISES 1. Reduce the…
Geometry, Analytic
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