Abstract
If we draw the graph of a function y = f (x) on the plane, we obtain a curve. For example, the graph of y = x2 is a parabola. Similarly, the graph of a function x = g(y), for example x = y2, is also a curve. Both y = f (x) and x = g(y) have one of the variables as an independent variable, and the other as a dependent variable. So x and y are not equally treated. If we rewrite these in the form y – f (x) = 0 or x –g(y) = 0, we can unify them in the form.
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17 April 2021
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© 2019 Springer Nature Singapore Pte Ltd.
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Kobayashi, S. (2019). Plane Curves and Space Curves. In: Differential Geometry of Curves and Surfaces. Springer Undergraduate Mathematics Series. Springer, Singapore. https://doi.org/10.1007/978-981-15-1739-6_1
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DOI: https://doi.org/10.1007/978-981-15-1739-6_1
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Online ISBN: 978-981-15-1739-6
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