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Llibres Llibres 31 - 40 de 47 sobre Find an expression for the area of a triangle in terms of the coordinates of its....
" Find an expression for the area of a triangle in terms of the coordinates of its angular points. "
The Principles of Analytical Geometry ... - Pàgina 72
per Henry Parr Hamilton - 1826 - 326 pàgines
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Calendar ...

University College, Galway - 1903
...of AB, BC, CD, DA lie on a circle, then AC, BD are perpendicular. 5. "Write down the expression for the area of a triangle in terms of the coordinates of its angular points. Prove that the area of the triangle formed by the lines x = a, y = b, z/b + y/a = 1 is i (a2 - ab +...
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The Elements of Plane and Solid Analytic Geometry

Albert Luther Candy - 1904 - 248 pàgines
...internally in the ratio 8 : 4, and externally in the ratio 2 : 9. AREAS [10 AREAS OF POLYGONS 10.* To find the area of a triangle in terms of the coordinates of its vertices, the axes being inclined at an angle <a. CASE I. When one vertex is at the origin. Qj Q. Let...
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Computation and Mensuration

Preston Albert Lambert - 1907 - 92 pàgines
...a^ = x3 — xv -Z)3-D2 = xi P3 = (zs - xj (yl + + O2 - zs) O = xi ~ xv 33 This expression for double the area of a triangle in terms of the coordinates of its vertices is readily reproduced by arranging the coordinates of the vertices in order in two vertical...
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Coordinate Geometry

Henry Burchard Fine, Henry Dallas Thompson - 1909 - 300 pàgines
...left of the line x + a=0. Similarly for equations of the form У + Ъ = 0. 52. Problem. To express the area of a triangle in terms of the coordinates of its vertices, the axes being rectangular. The area of the triangle PiP2.P3 is one half the product of a...
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Coordinate Geometry

Henry Burchard Fine, Henry Dallas Thompson - 1909 - 300 pàgines
...left of the line x + a=0. Similarly for equations of the form y + b = 0. D 52. Problem. To express the area of a triangle in terms of the coordinates of its vertices, the axes being rectangular. The area of the triangle P]P2P3 is one half the product of a...
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Bulletin of the American Mathematical Society, Volum 17

1911
...Determinants. More than half of it is devoted to applications in the domain of elementary analytic geometry : The area of a triangle in terms of the coordinates of its vertices and in terms of the equations of its sides ; the product of the areas of two triangles in...
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Mathematics: From the Birth of Numbers

Jan Gullberg, Peter Hilton - 1997 - 1093 pàgines
...Cv i - ya) + *3 (yi / the vertices of the triangle may be read in any order. The formula expressing the area of a triangle in terms of the coordinates of its vertices may be applied to find the area of any polygon. Equations and Graphs of Straight Lines y =...
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Field Solutions on Computers

Stanley Humphries, Jr. - 1997 - 400 pàgines
...equations will be useful for the derivation of Section 2.7. First, we shall find an expression for the area of a triangle in terms of the coordinates of its vertices. Consider a triangle lying in the xy plane with one vertex at the origin (Figure 2.10a).The...
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Hungarian Problem

György Hajós, Andy Liu, G. Neukomm, János Surányi - 2001 - 142 pàgines
...the algebra can become very cumbersome. A useful result is the Coordinates-Area Formula, which gives the area of a triangle in terms of the coordinates of its vertices. If these coordinates are (xi,yi), (*2,2/2) and (X3,2/3), then the area of the triangle is...
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Proceedings of the Edinburgh Mathematical Society, Volum 11

Edinburgh Mathematical Society - 1893
...2/i 1 sinw d and on transformation to the other systems we readily obtain the above expressions. 4. To find the area of a triangle in terms of the co-ordinates of its angular points. (1) Independently of the corresponding expression in Cartesians. If A' denote the area, since twice...
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