Special cubics and quartics produced by projective pencils of straight lines and conics (1916)
Marshall, Robert Haskell · leaf 44
^0 and ^f _ 0, and of (5). The curve (5) has a point of inflexion at the infinite point ofthe X axis. This can be shown by making use of the per-spective transformation X , y = y , r-1 x-i from which we get as a resulting equation y^-y^fx-l)x^(x-l) - 0If we find the second derivative of this… … 17- of /V on the X axis. Through the points (0,1) and {A,0) draw thepencil of lines. For each value of A given construct the parabola.Then note the points of intersection of corresponding pairs. Thesepoints will he on the locus of (5). Figure III shows the locus of (5).4. Consider now the following…
