Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 222
ie axis Ox is tliere-fore OX. — ..2 e\v. From this result it appears by § 215 that (Fig, 91) F,X= c + e-x = e(a -\-ex) = e • F.P,F^X= c — e-x = e(a —ex) = e • F^P^ hence the normal divides the dis-tance F.F^ in the ratio of theadjacent sides F.P, FyP of thetriangle F^PF.,. It follows thatthe normal… … Fig. 91 y = ±l^x--a\ a of the hyperbola (3) are h/a times the corresponding ordinates y = ± -Vx- a- of the equilateral hyperbola (end of § 209) having the sametransverse axis. When b < a, we can put b/a = cos e and re-gard the general hyperbola as the projection of the equilateralhyperbola of…
Geometry, Analytic
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