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Plane and solid analytic geometry (1897)

Bailey, Frederick H. (Frederick Harold), 1865- · Boston, London, Ginn & Co. · leaf 251

An illustration from Plane and solid analytic geometry, 1897, leaf 251
wo points,and a point of tangency is counted as two coincident points. Hence thetangent to one branch does not cut the other branch. 119. Equation of a Diameter. As already defined, a diameter of a conic is the locus ofthe middle points of a system of parallel chords. It is to benoticed that… … In either case, by using the method of § 61, we find thatthe equation of the diameter bisecting the system, the slopeof which is rrii, is y = a-m X. [44] If m2 is tlie slope of the diameter, then the relation betweenm2 and rrii is mim2 = -:i. THE HYPERBOLA. 237 From this follows that the axes are…

Geometry, Analytic

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