Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 115
s P (xv yx)and Q (x2, y2). y Qf*-- JpC-_JT 1 i —-js 1 1 1 0 N L M X Let R (x, y) be the middle point of PQ.Draw PM, QN, RL ± Ox ; QS j_ RL; RT 1 PM.From the equality of As PRT, RQS,QS = RT and RS = PT..*. NL = LM, • • \JU ~~ \fj(y —— JO-t JOm xx 4- x.2 x =V RS = PT, .*. y-v*-- Vx - y- y = 2/i + y2… … Fia. 10. Let R (x, y) be the point dividing PQ such thatPR mRQ — n Draw PM, QN, RL J. Ox; QS J_ RL; RT ± PM. From the similar As PRT, RQS RT _ PT PR mQS - RS RQ -■ RTQS a? — cc„ m-n.?n 71 mx. EXERCISES li .. nx, + mx9x — m + n V PT_m RS ,7 ••• 2/1-2/ m 2/ - 2/2 » my - my.2 = ny1 y = ^2/i + my2m +…
Geometry · Geometry, Analytic
Internet Archive · Western University Libraries · Public Domain Mark 1.0. Free to use for anything.
