Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 135
eters a and bis— + ^=l. (See Art. 35, Prob. 39.) This equation shows that each of a pair of conjugate diametersbisects all chords parallel to the other. The axes of theellipse are a pair of perpendicular conjugate diameters. Let (xu, 2/o) be the point of intersection oi y — tan 6 • x withthe… … tl le common asymptotes of the pair of con-jugate hyperbolas and — —- cr bl,it is evident that the condition tan d tan $= — causes y = tan 0 • x to inter-sect--^=-1 if tan I intersects —-■£=!. Now suppose (x^, y^ to be the point of a- y- intersection of the line y = tan 6 • x with the conjugate…
Geometry, Analytic
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