Special cubics and quartics produced by projective pencils of straight lines and conics (1916)
Marshall, Robert Haskell · leaf 52
e origin, that- is theorigin is a triple point. Consider next the second factor of (8) X — 4ni-f- Wi^ = 0. Putting X-0 we have for values of m; o, 2 and -2. These valuesof :n are the slopes of the three tangents 47t? the tfe^^ t-angents tothe three branches passing through the origin. To construct… … 19- which is a parabola. Ihe second of (7a) becomes (x + y) (x —y];:^0,••hich are two linos. Where the parabola, intersects these tvo lines,as at P and P , v;ill be points on the locus of (7). In a similarway other points can be constructed by giving various values to A . JTigure V exhibits the…
