Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 211
ngles differ by f tt or 120°. Show that the locus of their intersectionis the ellipse THE ELLIPSE 193 48. A parallelogram Is circumscribed about the ellipse — 4-^ = 1. a? b If two opposite vertices trace out the curve /(^, 2/)=0, find the curve traced by the other two. where V = ^ + ^ - 1. CHAPTER… … Fig. 122. Draw FN ± to directrix. Take points A and A on FN such that FA = e • AN (1) FA= e • AN (2) Then A and A are points on the curve [the vertices].Bisect A A in 0, and let AA= 2 a. 194 THE HYPERBOLA 19o Add (1) and (2), we obtain 2 OF = e . 2 OA..-. OF = ae.Subtract (1) from (2), 2 OA = e . 2…
Geometry, Analytic
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