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A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus (1881)

Olney, Edward, 1827-1887 · New York : Sheldon and Co. · leaf 133

An illustration from A general geometry and calculus : including book I. of the general geometry, treating of loci in a plane; and an elementary course in the differential and integral calculus, 1881, leaf 133
vident that the curve will continually approachAX but under such a law that it can neverabsolutely reach it. {Practically such a curve willBoon become indistinguishable from the line, thatis, will run into it.) AX is an asymptote to thiscurve. In a similar manner two curves may approach each other… … B C D E F G Fig. 105. H X 14S, Pvoh,— To determine whether a plane curve has rectilinearasymptotes. Solution. —First determine whether the curve has infinite branches. If it hasnot an infinite branch it cannot have an asymptote, since an asymptote is a tangent Second, if there is an infinite…

Geometry, Analytic · Calculus

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