Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 170
e hyperbola differsfrom the ellipse only in therelative values of e and 1, i.e.,in the sign of 1 — e, which is+ in the ellipse and — in thehyperbola, the standard equation of the hyperbola can boderived by the method of Art. 86, and it will be found thatwith choice of axes and notation as there… … FiQ. 69. 154 THE CONIC SECTIONS [Ch. VIU 2 2 become fi-^ = l [37] the standard equation of the hyperbola. Every equationrepresenting an hyperbola can be reduced to this form, as isshown later.Here, as in Art. 86, CF=ae, therefore the focus F is the point (ae, 0). (4) Similarly for the directrix; C0…
Geometry, Analytic
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