Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 102
tan.TW: A sin.^m B^ Whence cos.^m A^ But cos.*m=l—sin.-7». Therefore sin.^m ^2 1—Bin.m A J03 A2 Consequently sm.^m= _, and cos.^m: A^+B^ A^+B^ which equations furnish the value of the angle which the asymp-totes form with the transverse axis. PROPOSITION IX. To find the general equation of the… … THE HYPERBOLA. 93 From P draw /^parallel to CE,and P^ parallel to CM. Let CH==x\and HP=y. Now the object of this proposi-tion is to find the values of x and yin terms of x and y, to substitutein (1), and then the equation re-duced to its most simple form willbe the equation sought. The angle ITCM…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
