Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 33
x, say A, is at the origin, the area becomes 0 0 1 xz ys 1 CoR. 2. If the three points A,B,C, lie on a straight line, the area of AABC irf zero. Hence the condition that three points (Xi, ?/i), (X2, 2/2),(•^3 ^ 2/3) may be collinear, is 3^12/1 1 X2 2/2 1xs 2/3 1If the axes are oblique at an angle… … Fig. 20. A,B,C are the vertices, denoted respectively by (pu ^j),(P2 J ^2)? (P3) ^3)- * The beginner should establish the generality of this formula. CO-ORDINATES. THE POINT 17 A ABC = A GAB + A OBC - A GAG.Area A GAB = i GA • GB • sin AGB,= ^ P1P2 sin (^1 - e^). A GAG = ^ psPi sin {0^ - $,), = -\…
Geometry, Analytic
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