Osgood, William F. (William Fogg), 1864-1943, Graustein, William C. (William Caspar), 1888-1941, joint author · New York : The Macmillan Company · leaf 35
OMETRY % - -«/. Mid-Point of a Line-Segment. Let Pi, with the coordi-y- nates (xi, 2/1)5 and P2: (x2, y-y) be the extremities of a line-seg-ment. It is desired to find thef|-(^22/2) coordinates of the point P whichbisects P1P2. Let the coordinates of P be{x, y). It is evident that thedirected… … Fig. 8 Hence Xi 4- X9 Similar considerations apply to the projections on the axisof y, and consequently 2 We have thus obtained the following result: The coordinates(cc, y) of the point P ichich bisects the line-segment P1P2 are givenby the equations: (1) X _^l+^2 ^ 2 EXERCISES 1. Determine the…