Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 97
y ) —A^B^ Because the diameters are conjugate, we must have sm.7n sin.w B^ cos.m cos.w A^ G0S.71.) [ Chap. I, Prop. X. f sm.w.) 88 ANALYTICAL GEOMETRY. Whence (sm.msm.nA^—cos.mcos.?i^*)=0. (k) This last equation reduces (1) to [ (2) (sin.2%^2__(j(5s2^jy2_|_(gin.2^^2__cos.2m52)a;2=—^2j52^ which is… … If we put A^ to represent CH , and regard it as positive, thedenominator of (3) must be negative, the numerator being nega-tive. That is, sm.^7nA^ must be less than cos.^wij?^. That is.Or But sin.2m^2^ cos.2«»^2^B tan.m<^ tan.mtan.?i=- B^ Whence tan.??.>-—, or sin.-w^^^^^cos.^w. Therefore the…
Geometry, Analytic · Calculus
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