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" Express the area of a triangle in terms of the coordinates of its angular points a, b ; a', V ; a", b", 40. "
Collection of Examples and Problems in Pure and Mixed Mathematics: With ... - Pàgina 129
per Alfred Wrigley - 1862 - 294 pàgines
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - 1830 - 390 pàgines
...identical with equation (4.) (Trig. p. 43,)* Hence the three lines meet in a point. PROBLEM V. (21.) To express the area of a triangle in terms of the coordinates of two of its angular points. Let the triangle, BAG, be proposed ; and let y the rectangular axes originate...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - 1830 - 360 pàgines
...identical with equation (4.) (Trig. p. 43.)* Hence the three lines meet in a point. PROBLKM v. (21.) To express the area of a triangle in terms of the coordinates of two of its angular points. Let the triangle, BAG, be proposed ; and let y the rectangular axes originate...
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The Elements of Analytical Geometry ...

John Radford Young - 1835 - 298 pàgines
...-iB. sm. A with equation (4.) (Trig. p. )* Hence the three lines meet in a point. PROBLEM V. (21.) To express the area of a triangle in terms of the coordinates of two of its angular points. Let the triangle, BAG, be proposed; and lety the rectangular axes originate...
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A Treatise on the Application of Analysis to Solid Geometry

Duncan Farquharson Gregory - 1845 - 308 pàgines
...co-ordinate 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 triangle , one...
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A treatise on the application of analysis to solid geometry, commenced by D ...

Duncan Farquharson Gregory - 1845 - 364 pàgines
...co-ordinate 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 triangle, one of...
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A Treatise on the Application of Analysis to Solid Geometry

Duncan Farquharson Gregory, William Walton - 1845 - 306 pàgines
...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 triangle, one of...
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The Mathematician, Volum 1

1845 - 356 pàgines
...quadrilateral, PB the positive axis of x, and the points A, B, C, D, respectively, Now the expression for the area of a triangle in terms of the co-ordinates of its three angular points (#1^1, x^y- a .r 3 ^ 3 ) in reference to rectangular axes is ( Young's Analytical...
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The Elements of Analytical Geometry: Comprehending the Doctrine of the Conic ...

John Radford Young - 1850 - 294 pàgines
...a point . ... . . . 98 20 To determine whether lines bisecting the angles meet in a point 98 21 To express the area of a triangle in terms of the coordinates of two angular points . . . . . . . 99 22 The locus of a simple indeterminate equation of two variables...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1852 - 344 pàgines
...lines, 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 axes. 39. If xг—...
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Arithmetic, algebra, differential and integral calculus, by W. Rutherford ...

Royal Military Academy, Woolwich - 1853 - 474 pàgines
...drawn, 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....
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