Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 116
nts so7ne locus which passes throughthe intersections of (2) and (3). STRAIGHT LINES THROUGH THE ORIGIN. 101 But, since the equation (4) is homogeneous and of thesecond degree, it represents two straight lines passingthrough the origin (Art. 108). It therefore must represent the two straight lines… … ■/O Let the given straight line cut the curve in the pointsP and Q. The equation (2) holds for all points on the curve PQRS.The equation (3) holds for all points on the line PQ.Both equations are therefore true at the points ofintersection P and Q. The equation (4), which is derived from (2) and…
Coordinates · Geometry, Analytic
Internet Archive · Boston College Libraries · Public Domain Mark 1.0. Free to use for anything.
