r J a- - //-. Hence x cannotexceed, numerically, ± a, nor can y exceed, numerically, 136 Analytical Geometry. ± h; aud the curve falls entirely within the rectanglewhose sides pass through .4, A\ B. B\ and are parallelto the axes. (3). ^= ±-Ja Hence as x increases from 0 to a, y continually… … (5). If we suppose the straight line x = mx^k tocut the ellipse, we shall have for the ics of the points 1, or x^ hnx + Wof intersection the equation -^ -I r^— —+ --)x2 + 2-^a: + YT,-1 = 0,—a quadratic, giving two values of x. Hence a straight line can cut an ellipsein only two points. (6). If Q be…
Geometry, Analytic
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