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Plane and solid analytic geometry (1921)

Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 320

An illustration from Plane and solid analytic geometry, 1921, leaf 320
5 5) are (a^/, ?//).Then the equations of D and D are, respectively, (6) (a) a2 62 (^) x^x y^y ^ Qa2 62 as is evident, from analogy to thecorresponding equation (2) in thecase of the ellipse. From (6) itfollows that the tangents, at theextremities of a diameter, to thehyperbola on which these… … Fig. 10 and a \b a J \ b One of these extremities is (x/, ?//); let us say, the first one.Then the values of x^ and ?// in terms of Xi and y^^, and viceversa, are (7) (a) x, = I 6a;, y\ = — a 6 Vi 6 a 0 a where the equations (6) are obtained by solving equations (a)for Xi and 2/1. 302 ANALYTIC…

Geometry, Analytic -- Plane · Geometry, Analytic -- Solid

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