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 136
i)le inspec-tion of the equation of the curve willdetermine the fact. Thus, in the lastexample, ifc is evident that as x increases from 0 to &, y increases, and when x = h, y becomes oo. .*. This branchof the curve approaches the line MN, parallel to the axis of y, and at adistance h from it,… … \ TANGENTS TO IOLAR OUEVES. 107 riglit can never come nearer the axis of x than y =■ c. In like manner whenx=^ — 00, we see that y = c . •. M N is an asymptote. Ex. 14. Determine by inspection the asymptotes to xy = m. Ex. 15. Determine by inspection that x=^a, and y==b, are asymp-totes to xy — ay…
Geometry, Analytic · Calculus
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