Proceedings of the Edinburgh Mathematical Society

Table of Contents - Volume 31 - 1912  

Research Article

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

Dr R. J. T. Bell

The equations

S0013091500034143_eqnU1

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

S0013091500034143_eqnU2

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.

(Received December 13 1912)