Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 98
ed trans-versely to those of the base; find the locus of the 2>ointof intersection of the joining lines. THE STRAIGHT LINE. PROBLEMS. 83 Let the triangle be OAB and take 0 as the origin andthe directions of OA and OBas the axes of x and y. Let OA = a and OB = 6,so that a and h are… … X (say), and that to AB is - + —= 1a Xb (1). (2)- Since F is the intersection of AB and AB its coordi-nates satisfy both (1) and (2). Whatever equation wederive from them must therefore denote a locus goingthrough P. Also if we derive from (1) and (2) an equationwhich does not contain X, it must…
Coordinates · Geometry, Analytic
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