Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 43
dividing the segment Pi = (.3, 4),Fi = (— 2, — 6) in the ratio 3 :5. Prove the result by calculating the lengthsof the segments PiP, PP-^ and showing that their ratio is |. 7. The segment in the preceding ex-ercise crosses both axes. Find the co-ordinates of the points of crossing. 18. Area of a… … Fig. 20 A = trapezoid P^P^D^D^ + triangle P^OD^ — triangle OD^P^ Ml2 ^ (Vi + JhX^i - -^2) I X2y22 2 Hence, we have (^1^2 - ^2^1) (1) The expression x^^y^ — %Vi is a determinant and is often writtenthus; X, y^ In determinant notation, the formula for the area of the triangleis then 2/1 ^2 Vl (2) For…
Geometry, Analytic
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