Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 291
B are fixed and the line L isperpendicular to AB at its mid-point, 0; R and S are two points on L, both on the same sideof AB and moving so that theproduct of their distances from 0is constant, and equal to Ir. Findthe locus of the point of intersec-tion, P, of AR and BS. Take the axes as shown in… … B:{a,0) A SECOND CHAPTER ON LOCI 273 same side of AB and relatively so situated that OE • OS = b^is then given by the equation, (1) rs = 62.The equations of AM and BS are — a r as Since P: (X, Y) is the point of intersection of these lines, wehave (2) 1+^ = ^, a r (3) 1-^=1, a s To eliminate the…
