Abstract
There is a way to describe a family of plane curves different from that using Cartesian or polar co-ordinates. This is a trigonometric equation involving two angles. In this article, we highlight the fact that trigonometric equations are convenient to describe certain one-parameter families of plane curves. In some cases, the trigonometric form makes it easier to characterize the family than if one were to use the equivalent Cartesian or polar representations.
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A I Markushevich, Remarkable Curves, Translated from Russian by Yu A Zdorovov, Mir Publishers Moscow, 1980.
A Pogorelov, Geometry, Mir Publishers, Moscow, 1987.
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B Barua and J Das (née Chaudhuri) are at Indian Society of Nonlinear Analysis (INSA), Kolkata.
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Barua, B., Das, J. Trigonometric characterization of some plane curves. Reson 20, 235–244 (2015). https://doi.org/10.1007/s12045-015-0173-8
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DOI: https://doi.org/10.1007/s12045-015-0173-8