Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 31
- \LM (LA + MB),by the last article, = i [(^3 - ^1) (2/1 + ys) + {002 - ^z) (2/2 + 2/3) - (^2 - a^i) {Vi + 2/2)]-On simplifying we easily have ^ ^ I (^172 - XaYi + y^zYz - ^372 + XgYi - x^yg),or the equivalent form ^ = J [^1 (2/2 - Vz) + ^2 (2/3 - 2/1) + ^3 (2/1 - 2/2)].If we use the determinant… … AREA OF A QUADRILATERAL, 17 isin w {x^y^ I.e. fsm wx 26. In the preceding article, if the axes be oblique, the perpen-diculars AL, BM, and CN, are not equal to the ordinates y^, y^, and2/3, but are equal respectively to yi sin w, 2/2 sin w, and y^ sin w. The area of the triangle in this case…
Coordinates · Geometry, Analytic
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