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On the Singular Points of Plane Curves

Published online by Cambridge University Press:  20 January 2009

T. B. Sprague
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In the general equation of a curve that passes through the origin,

u1 ≡ a1x + b1y = 0 is the equation to the tangent at the origin; for, y q g when x and y are very small, we may neglect all the terms in comparison with those involving the first powers of x and y. If neither a1 nor b1 vanishes, we may, without loss of generality, write the equation in the form

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 21 , February 1902 , pp. 96 - 110
Copyright
Copyright © Edinburgh Mathematical Society 1902

References

page 96 note * In all the figures the darker lines represent the evolute.