Osgood, William F. (William Fogg), 1864-1943, Graustein, William Caspar, 1888-1941, joint author · New York, The Macmillan company · leaf 172
(x + y-2)+k(x-y)=0,where 7c denotes a constant number ? This curve is a straight line, since (3) is an equation of thefirst degree in x and y. Suppose, now, that various differentvalues are given to fc. Then (3) represents various straightlines in turn. What do all these lines have in common ? *… … Fig. 3 1(36 ANALYTIC GEOMETRY Since the lines (1) and (2) intersect in the point (1, 1), thecoordinates of this point make the left-hand sides of equations(1) and (2), namely, the expressions, x -f y — 2 and x — y, vanish. Consequently, they always make the left-hand sideof equation (3) vanish. In…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
