Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 190
THE ELLIPSE.. ^2 _ ^2 cos^a + b^ sin^a. 173 ,\ p = ya^ cos^ a + 6^ sin^ a..-. the line a: cos a + 2/ sin a = ^a^ cos^ a + b^ sin^ ais a tangent to the ellipse. Now put ^ + a for a, and we obtain, — X sin a -\- y cos a = Vci^ sin^ a -\- b^ cos^ afor the equation of the tangent ± to the first.… … Fig. 117. eluded] which have a common major axis, meet on that axisproduced. For the sub-tangent is constant for all. [=-^1 174 ANALYTICAL GEOMETRY (2) The normal at any point bisects the angle between thefocal radii of that point. The tangent at P is -^ + ^ = 1 j and putting V = ^^ we get xx^ = a,…
Geometry, Analytic
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