Higher geometry; an introduction to advanced methods in analytic geometry (1922)
Woods, Frederick S. (Frederick Shenstone), 1864- · Boston, New York, Ginn and Company · leaf 88
the six points Pv Pv jg, Pvij?, P6, taken anywhere on the curve of second order (Fig. 24).The opposite sides are then i^ZJ andPt%, P2P and P,P6, P& and P&respectively. We shall first assume that the curveis without singular points. Then thepoints i?, i£, and P6 do not lie on astraight line… … l 2 aLet Pi have the coordinates y„P^ the coordinates zt, and P^ the coordinates wt. Then, since the three points P2, Pv and P^ lieon the curve (4), we have 1 1 1 Vi y. 9, 1 1 1 2, 2„ 2, 1 2 3 1 1 1 w, w„ IV = 0. (6) The equation of the line PtP, is y^-y^^O and that of PiPiis zx -z^. They intersect…
Geometry, Analytic
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