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Parametric Equations in Elementary Analytical Geometry*

Published online by Cambridge University Press:  03 November 2016

A. Robson
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Extract

Mathematical students are usually familiar with the parametric coordinates (at2, 2at) of a point on a parabola, and with the eccentric-angle coordinates of a point on an ellipse, and with similar coordinates for a hyperbola. Such coordinates are probably welcomed by the student just because they reduce by one the number of letters and the number of equations with which he has to deal.

If at2 is substituted for x1, and 2at for y1, but everything else is done in just the same way as before, parametric methods are not really being used. Parametric equations are something more than convenient coordinates.

Type
Research Article
Information
The Mathematical Gazette , Volume 17 , Issue 223 , May 1933 , pp. 87 - 91
Copyright
Copyright © The Mathematical Association 1933

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Footnotes

*

A paper read at the Annual Meeting of the Mathematical Association, 6th January, 1933.

References

* A paper read at the Annual Meeting of the Mathematical Association, 6th January, 1933.