Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 32
ijoint 0 lies , ^ A Gbetween A and B, the ratio, -7^, of the parts into which it divides the line is positive ; wdiile if it lies on AB pro- AC dnced, the ratio is negative. If —— has a value between (JB AC 1 and — 1, (7 is nearer .4, while if --— is greater than 1 or less than — 1, (7 is nearer,… … Draw the ordinates M^P^, ^2^2 ^^^^^ ^^- ^^^^ drawthe lines P^^i and PK parallel to the X-axis. Thetriangles PP^K^ and PKP^ are evidently similar, andP^K^_K,P _P,P _m. PK KP, PP, iih 16 ANALYTIC GEOMETRY [Ch. II, § 14 But P^K^ = 031 - 031^ =x - Tj, FK =031^ -031 =x^-x,K^P =MP -3IK,=y -y,,KP^ = 3I,P,…
Geometry, Analytic
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