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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
Extract
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.
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- Copyright © Edinburgh Mathematical Society 1912