Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 34
B or beyond either. It will be £ - Q seen that it the point (J lies between vi and P, the ratio, -7=, of the parts into which it divides the line is positive ; while if it lies on AB pro- AC duced, the ratio is negative. If —— has a value between AC 1 and — 1, C is nearer A, while if —— is greater… … p F 4-M 0 T -^if if, x. \m2x^p2 Fig. 17. Draw the ordinates i^Pj, ilf2P2, and MP. Also drawthe lines P1K1 and PiT parallel to the X-axis. Thetriangles PP1Kl and PKP2 are evidently similar, and PXKX = K^P = PXP = rr^PK KP, PP., m 16 ANALYTIC GEOMETRY [Ch. II, § 14 But PXKX = OM - 0MX = x - xv PK =…
Geometry, Analytic
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