Analytic geometry for colleges, universities, and technical schools (1892)
Nichols, E. W. (Edward West), 1858- · Boston [Mass.] : Leach, Shewell & Sanborn · leaf 137
ellipse at the pointsin which the line cuts tne curve. 18. Given the ellipse -—\- ^ = 1, and the line y — x -\- 4 9 2 = 0; required (a) The equation of a tangent to the ellipse || to the line. /^^ ci u u u (.(, u J_ a a a 122 PLANE ANALYTIC GEOMETRY. 19. The point (4, 3) is outside the ellipse 16 ^… … Fig. 41. Let FN be a normal at any point P (x, y). Draw PF, PFoWe have found, Art. 87, that ^2 }fi From Art. 76 we have OF = OF = ae; hence NF = OF - ON = ae - eV = e (a - ex)NF = OF + ON = ae + ex = e (a-\- ex).. NF : NF :: (a- ex) : (a + ex) But FP : FP :: (a- ex) : (a + ex) Art. 77, (1) and…
Geometry, Analytic
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