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Llibres Llibres 1 - 10 de 58 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 Mathematician - Pągina 329
1845
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Problems and theorems in plane trigonometry

David Hewitt - 1840 - 127 pągines
...-r- 6 ^ (47) and (Prop. 96) tan A . tan В . tan С ' = 4 cos Л . cos В . сos С (26). 98. From the expression for the area of a triangle in terms of the sides deduce the following. A В С A В С cot - + COt - + cot - = cot - . cot -- . cot - . Since...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Robert Potts - 1845
...F must be in the same straight line. 166. This question is rather Algebraical than Geometrical. If the expression for the area of a triangle in terms of the sides may be assumed, the equation which connects the radii of the three circles may be deduced from...
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A Treatise on the Application of Analysis to Solid Geometry

Duncan Farquharson Gregory, William Walton - 1845 - 276 pągines
...planes, and then to take the sum of these projections projected on the second plane. (20) To cxpress the area of a triangle in terms of the coordinates of its angular points. This may be most conveniently done by first finding the projection of the area of a...
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A Treatise on the Application of Analysis to Solid Geometry

Duncan Farquharson Gregory, William Walton - 1845 - 276 pągines
...planes, and then to take the sum of these projections projected on the second plane. (20) To express the area of a triangle in terms of the coordinates of its angular points. This may be most conveniently done by first finding the projection of the area of a...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson with ...

Euclid, Robert Potts - 1847 - 478 pągines
...F must be in the same straight line. 166. This question is rather Algebraical than Geometrical. If the expression for the area of a triangle in terms of the sides may be assumed, the equation which connects the radii of the three circles may be deduced from...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1852
...36. Find the area included between the lines, x—y = o, x + y = o, x—y = a, x + y=b. 3?. Express the area of a triangle in terms of the coordinates of its angular points a, b ; a', b' ; a", 6". II. CIRCLE. 38. Find the equation to a circle referred to oblique...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - 1853
...then will these lines meet in the same point on В К produced. Prove this by coordinates. 5. Express the area of a triangle in terms of the coordinates of its three angles. 6. Three lines AB, AC, AD, which emanate from the same point A, are given in position. In AD...
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A treatise on plane co-ordinate geometry

1855 - 299 pągines
...require the co-ordinates of a point midway between two given points ; then nl = w2 and 11. To express the area of a triangle in terms of the coordinates of its angular points. Let ABC be a triangle ; let ^ yv be the co-ordinates of x those of B ; x3, y3, those...
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A History of the Progress of Calculus of Variations During the Nineteenth ...

Isaac Todhunter - 1861 - 532 pągines
...+-j^d'x + -^d'ij. The double of the area of this trianle is known to be [Tliis follows from the known expression for the area of a triangle in terms of the co-ordinates of its angular points, in conjunction with the theorem which connects the area of any plane figure with the...
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The Quarterly Journal of Pure and Applied Mathematics, Volum 5

James Joseph Sylvester, James Whitbread Lee Glaisher - 1862
...2A then 2 A = It , dbc 1=(2A? ft flS* therefore 2A' and «' = - 2 /37 |« - 22 which are expressions for the area of a triangle in terms of the coordinates of its angular poiuts ; and for the length of a line in terms of the coordinates of its extremities. II.—...
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