Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 201
ired locus. 5. y^ - 2 xy -\- x^ - 2 = 0. (a) b^ ^ 4: ac .-. parabola class. (b) 0 = — 4:5° .: new X-axis inclined at an angle of — 45°to the old X-axis. We have also a = 0, c = 2, d = 0,e = 0 i.e., X = 1 and x = — 1 . . . (1) are the equations of the locus when referred to the new axes. (c) The… … Fig. 58. We may construct the locus of the given equation withoutgoing through the various steps required by the generalmethod. Factoring the given equation, we have hence {y -x + V2) {y -X- V2) = 0y = X — V2 and y = x -\- V2 are the equations of the locus. Constructing these lines(OY, OX being the…
Geometry, Analytic
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