Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 124
reversing the roles of F and F\ EXERCISES X 1- Construct the ellipse for which c — 2\ cm., a = 4 cm. 2. Erom 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. It… … Fig. 4 (1) V(a;-c)2+2/2 + V(x + c)2+ y^ = 2a. Transpose one of the radicals and square: (x — cy-\- 2/2= (a; + 0)2+ 2/^ — 4a^{x -j- c)2 + 2/2 + 4a. Hence (2) a V(aj + c)2 + 2/2 = a^ -f ca;. To remove this radical, square again : (3) a2a;2 + 2 aca; + a2c2 ^ ^2^2 = ^4 _|_ 2 ^2^0; -f c2a;*^,or (a2 —…
