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 221
). Bat as for the ellipse c~ = a^— h^while for the hyperbola c- = a--\-h- it follows that the eccentric-ity of the ellipse is always a proper fraction becoming zero onlyfor a circle, ivhile the eccentricity of the hyperbola is always greaterthan one. 216. Equation of Normal to Ellipse. As the… … y -oio *^ ab 27.2 I.e. ±X-~Y=c\X V X, § 217] ELLIPSE AXD HYPERBOLA 209 The intercept made by this normal on tlie 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…
Geometry, Analytic
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