Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 209
ds, but 7n is thesame. This straight line meets the parabola y^ = 4:ax in pointswhose ordinates are given by m,y^ = 4:a (y — c), 4:a Aac , . I.e. V y + =^0 (2). ^ m ^ m • Let the roots of this equation, i.e. the ordinates of Qand Rj be y and y\ and let the coordinates of F, themiddle point of QR,… … MIDDLE POINTS OF PARALLEL CHORDS. 195 2aThe straight line 3/ = — meets the curve in a point P, whose ordinate is — and whose abscissa is therefore —x.m m The tangent at this point is, by Art. 205, a y = Tnx -\— , and is therefore parallel to each of the given chords. Hence the locus of the middle…
Coordinates · Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
