Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 151
one of the diameters intersects the curve. At-tributing to -B2^ itg proper sign, we have, A^ = -.„ . / ^—^, -B^ = A^ sin^a — J?2 cos^a A^ sm^cc—B^ cos^a Findmg the values of the denominators in these equations,substituting them in the general equation, and reducing, weobtain, AY^ - J?2^2 _ _ ^2^2 .… … Interpretation. 1. We have already seen(Art. 9—2), that when thetransverse axis A£ is real,the conjugate axis DD willbe imaginary, and recipro-cally; that is, the two axeswill not intersect the samebranch of the hyi^erbola. Thelast proposition proves the same property for any two con-jugate…
Geometry, Analytic · Calculus
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