Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 315
c in \ and A., it follows thatthe diameter D bisects the chords parallel to D. Thus Theorem 2, § 2, is established for the hyperbola, andthe two diameters D and D are, in the sense of that theorem,conjugate diameters; each bisects the chords parallel to theother. 296 ANALYTIC GEOMETRY We have also… … There are infinitely many pairs of conjugate diameters, asin the case of the ellipse. But here the two diameters of apair, not the axes, pass through the same quadrants, since theproduct, AA, of their slopes is positive. The value, b~/a^, of this product is the square of the slopeof an asymptote.…
