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Asymptotes in Parametric Coordinates

Published online by Cambridge University Press:  03 November 2016

T. H. Ward Hill
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Extract

Let the curve be given by x=f(t), y = ɸ(t)

Asymptotes parallel to the coodinate axes.

If as t→tl, y = ɸ(t)→∞ while x=f(t)→a, where a is finite, then x = a is an asymptote.

If as t→t2, x=f(t)→∞while y = ɸ(t)→b, where b is finite, then y = b is an asymptote.

Type
Research Article
Information
The Mathematical Gazette , Volume 27 , Issue 274 , May 1943 , pp. 41 - 44
Copyright
Copyright © Mathematical Association 1943

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