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The Power of a Point for a Curve

Published online by Cambridge University Press:  03 November 2016

E. H. Neville
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Extract

To attach, in relation to a curve f(x, y) = 0, a geometrical significance to the value of f(x, y) at an arbitrary point of the plane, it is necessary to impose a condition which has the effect of standardising the function f(x, y) by means of some divisor independent of the variables. This article, another outcome of Mr. Durell’s query on the semi-cubical parabola, is concerned with normalisation of the equation of an algebraic curve, and with Laguerre’s interpretation of a standard form of f(x, y). The axes are rectangular throughout.

Type
Research Article
Information
The Mathematical Gazette , Volume 40 , Issue 331 , February 1956 , pp. 11 - 14
Copyright
Copyright © Mathematical Association 1956

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References

page 11 note * Math. Gazette, vol. 37, p. 58; Note 2330.

page 11 note † See my note, “The asymptotic involution of the ellipse,” Math. Gazette, vol. 39, p. 226; Note 2542.

page 14 note * Math. Gazette, Vol, 38, p. 192, where references are given.