Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 131
Let the st. line cut the axes at A, B so that OAOB = b. a, Take P (x, y) any point on the line, and draw PM \\Oyand terminated in Ox at M. From the similar As APM, ABO, PM AMBO ~ AO y a—x,b a a +b L Note.—It is seen from the diagrams that both the proofand the form of the equation are the same for… … Take any point P (x, y) on the st. line. Draw AK, BL PM || Oy and terminated in Ox atK, L, M; and AN, BR || Ox and respectively terminatedin PM at N and AK at R. From the similar As PNA, ARB, ANBR PNAR AN = KM = OM - OK = X - XvBR = LK = OK - OL = x1- X2,PN = PM - NM = PM - AK = y - yvAR - AK - RK…
Geometry · Geometry, Analytic
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