Woods, Frederick S. (Frederick Shenstone), 1864-, Bailey, Frederick H. (Frederick Harold), 1865- · Boston, New York [etc.] Ginn and Company · leaf 138
sents the portion of the spiral corresponding to positive valuesof 6, and the dotted line the portion corresponding to negative values of 6. Ex. 2. The hyperbolic spiral, Fig. 103 As 6 increases indefinitely, r approaches zero. Hence the spiral windsinfinitely often around the origin, continually… … Fig. 104 Hence, as 6 approaches zero asa limit, NP approaches a (§ 95).Therefore the curve comes con-stantly nearer to, but never reaches,the line LK, parallel to OM at adistance a units from it. This line is therefore an asymptote. In thefigure the dotted portion of the curve corresponds to…
Geometry, Analytic · Calculus
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