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A method of finding (i) the double points of a unicursal curve, (ii) unicursal quartics with three given double points

Published online by Cambridge University Press:  20 January 2009

R. J. T. Bell
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The equations

where f1(t), f2(t)φ(t) are polynomials in t, determine a unicursal curve. If α and β can be found so that

then the point (α, β) is on the curve and is given by two values of t, t1 and t2, which are the roots of the equation at2 + 2bt + c =0.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , February 1912 , pp. 35 - 46
Copyright
Copyright © Edinburgh Mathematical Society 1912