Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 128
-\- f = 25. 14. Given 3 y^ -\- 4^ x^ = 12; required the co-ordinates of thepoint whose ordinate is double its abscissa. VIVI Ans. 15. Given the ellipse oy^ -\-2x^ = 12, and the line y = x —1;to find the co-ordinates of their points of intersection. 16. Given the ellipse -—1-^ = 1, and the abscissa… … Fig. 37. Let us take F as the pole, and let (FP, PFA) = (r, 6) bethe co-ordinates of any point P of the ellipse. From Art. 77(1) we have, r ^= a — ex . . . (V) From the figure, OD = OF + FD;i.e., x ^ ae -\- r cos 6. Substituting this value of x in (1), we have r ^ a — e {ae -\- r cos 6), or,…
Geometry, Analytic
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