Tanner, J. H. (John Henry), b. 1861, Allen, Joseph · New York, American Book Co · leaf 196
or the hyperbola,— — f- = l is y = mx ± Va^rn^ - b^. [51]a 0 108. Diameter of a conic section. The locus of the middlepoints of any system of parallel chords of a given conic iscalled a diameter of that conic, and the chords which thatdiameter bisects are called the chords of that diameter.… … be the equation of one of these chords, which meets the curvein the two points Pj = (xj, i/j) and P., = (x^, y.?). Let P = (x, y)be the middle point of this chord, so that 180 THE CONIC SECTIONS [Cb. VIII 0^=^^, y=yi±yi. (3) The coordinates of Pi and P2 are found by solving (1) and(2) as…
Geometry, Analytic
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