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==Asymptotes and curve sketching== Asymptotes are used in procedures of [[curve sketching]]. An asymptote serves as a guide line to show the behavior of the curve towards infinity.<ref>Frost, P. ''An elementary treatise on curve tracing'' (1918) [https://archive.org/details/elementarytreati00fros online]</ref> In order to get better approximations of the curve, curvilinear asymptotes have also been used <ref>Fowler, R. H. ''The elementary differential geometry of plane curves'' Cambridge, University Press, 1920, pp 89ff.([https://archive.org/details/elementarydiffer00fowlrich online at archive.org])</ref> although the term [[asymptotic curve]] seems to be preferred.<ref>Frost, P. ''An elementary treatise on curve tracing'', 1918, page 5</ref>
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