Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 112
simplyreversing the roles of F and Ff. EXERCISES 1. Construct the ellipse for which c = 2± cm., a = 4 cm. 2. From the ellipse just constructed make a templet, withholes at the foci and with the axes properly drawn. 3. Construct the ellipse whose axes are 4 cm. and 6 cm. 3. Equation of the Ellipse.… … Fig. 4 (1) V(x-c)2+y2 + V(x + c)2+ y2 = 2a.Transpose one of the radicals and square: (x — c)2+ y2= (x + c)2+ y2 — 4aV(# 4- c)2 + yi + 4a2.Hence (2) a. V(s 4- c)2 + 2/2 = a2 + ca.To remove this radical, square again : (3) a2x2 + 2 cfe + a2c2 + a2y2 = a4 + 2 a?cx + &x\or (a2 - c2)a2 + a?y2 =…
Geometry, Analytic
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