Newcomb, Simon, 1835-1909 · New York, H. Holt and company · leaf 37
of one end, A, of the line.x^, y^, the co-ordinates of the other end, B.A, ^, the given ratio. X, y, the co-ordinates of the required point, P.Draw ^iVland PQ eachparallel to the axis of X, andPM, BN each parallel tothe axis of Y. ThenAM = x — x^; PQ = x^—x;PM=y-y^; BQ = y^-y.Since we require that… … : x^ -y^ — X -y- X = y = A + yU ^ A^-/^ which are the required co-ordinates of the point of division. (7) 22 PLANE ANALYTIC OEOMETBT. Corollary. If P is to be the middle point of the line, wehave A = yw, whence or. Each co-ordinate of the iniddle point of a line is half thesum of the…
Geometry, Analytic
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