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The elements of coordinate geometry (1895)

Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 32

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case becomes xu yi, 1 27. In order that the expression for the area in Art. 25 may bea positive quantity (as all areas necessarily are) the points A, B, andG must be taken in the order in which they would be met by aperson starting from A and walking round the triangle in such amanner that the area… … Let the angular points of the quadrilateral, taken inorder, be A^ B, C, and D, and let their coordinates berespectively {x^, y^\ (x.^,, y^), (x^, y^\ and {x^, y^). Draw ALy BM, CJV, and DH perpendicular to the axisof X. Then the area of the quadrilateral= trapezium ALRD + trapezium BRNO + trapezium…

Coordinates · Geometry, Analytic

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