 | Benjamin Theophilus Moore - 1863 - 320 pągines
...figure of Art. 17. Here and, by the formula, =4(#2 +J/2), as before. 19. To find an expression for the area of a triangle in terms of the coordinates of its angular points. Let ABC be any triangle, OX, OY axes of coordinates. Let xI, y,, be the coordinates of A, X},y3, ......................... | |
 | George Hale Puckle - 1868 - 388 pągines
...of the perpendicular from the point (x = S, y=5) on the line (Sy- 7a; + 9 = 0). .3x5-7x3+9 3 53 *. To find the area of a triangle in terms of the coordinates of the angular points, the axes being rectangular. Let -the co-ordinates of the three points be (xy),... | |
 | Gerardus Beekman Docharty - 1865 - 328 pągines
...co-ordinates of the point which divides a given line into two parts in the ratio of m to n. Ex. 153. Express the area of a triangle in terms of the co-ordinates of its angular points. Ex.154. Determine the co-ordinates of the point of intersection of the lines y=— x-\-l and y=x+2',... | |
 | Bombay city, univ - 1874 - 648 pągines
...the geometrical interpretation of the similarity of the first of this equation to the expression for the area of a triangle in terms of the co-ordinates of its angular pointa. 4. Find the equation to the normal at any point of a 1O circle and show that it must pass through... | |
 | alexander thom - 1875 - 756 pągines
...ALLMAN, LL.D. 1. Prove that the area of any zone of a given sphere is in proportion to its height. 2. Find the area of a triangle in terms of the co-ordinates of its vertices, the axes being rectangular. Find the area of the triangle, the equations of whose sides are... | |
 | Dublin city, univ - 1876 - 420 pągines
...inclined planes, when its centre of gravity divides it in the ratio m to ». 1 6. Prove the expression for the area of a triangle in terms of the coordinates of its vertices, and deduce the corresponding expression for a polygon. 17. Determine the angle between the... | |
 | J. G - 1878 - 408 pągines
...the straight line is to be bisected, then m—n, and we have 3. To find an analytical expression for the area of a triangle in terms of the co-ordinates of its angular points. Area =%\xty1 -x1y^ + x^y, -xty, + x1y,-xiy1 \. To remember this formula, observe that a; is in the... | |
 | University of Calcutta - 1881 - 556 pągines
...points may lie in a straight line, and interpret the resnlt geometrically. 3. Ohtain an expression for the area of a triangle in terms of the co-ordinates of its angnlar points. Find the area of the triangle inclnded hy the straight lines— x cos a, + y sin ai... | |
 | Charles Smith - 1883 - 452 pągines
...(x, y) be equidistant from the two points (3, 4} and (1, - 2) , then will x + 3y = 5. * 6. To express the area of a triangle in terms of the co-ordinates of its angular points. Let the co-ordinates of the angular points A, B, G be xi> Vi> x*> &; and «vy, respectively. o K M... | |
 | George Shoobridge Carr - 1886 - 1036 pągines
...4035 л/(.г-лО*+ (y~yj+ 2 (xx) (yy) cos ». PBOOF.— By (Fig. 7), Eue. I. 47, and (702). Area A of a triangle in terms of the coordinates of its angular points a^y^ ж2у2> ж»Уз4036 A = i {дчу>— J»yi + .F, i/s— ^Sy2 + æод— æод} . PROOF. —... | |
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Find an expression for the area of a triangle in terms of the coordinates of its angular points. 
