Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 219
= Xj — a^ a Note. From the value of ON it follows that the normal to an ellipsedoes not, in general, pass through the center, but passes between thecenter and the foot of the ordinate; the extremities of the axes of thecurve being exceptional points. If, however, a = b, then e = 0, the curveis a… … Fig 88, Let the equation of the given ellipse be —1-^ = 1: a 6 let Pj and F2 be the foci, and Pj s(xi, y{) any given point on the curve. Draw the tangent TPj, the normal PiN, and also the lines Pj-Pi and F^PiW. 120, 121] THE ELLIPSE 203 Then F^JST^ F^O + ON = ae + ^x^ [Art. 120] = e(a + exi), JVFj…
Geometry, Analytic
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