| Duncan Farquharson Gregory, William Walton - Geometry, Analytic - 1845 - 276 pages
...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... | |
| Duncan Farquharson Gregory - 1845 - 360 pages
...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... | |
| 1845
...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... | |
| Alfred Wrigley - 1852 - 330 pages
...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.... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 472 pages
...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.... | |
| Isaac Todhunter - Geometry - 1855 - 299 pages
...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 of C. Draw the... | |
| Isaac Todhunter - Calculus of variations - 1861 - 578 pages
...rfy/r [74. There are two methods of arriving at this result ; we may take the ordinary expression for **the area of a triangle in terms of the co-ordinates of its angular points,** and substitute the values of the co-ordinates just given. Or we may proceed thus — find the area... | |
| Isaac Todhunter - Conic sections - 1862 - 344 pages
...require the co-ordinates of the point midway between two given points ; then nt = nt and 11. To express **the area of a triangle in terms of the coordinates of its angular points.** Let ABC be a triangle; let a^, y. be the co-ordinates of A ; a;,, yt those of B; xt, yt those of 0.... | |
| Alfred Wrigley - Mathematics - 1862 - 330 pages
...b". 38. Find the area included between the lines, x—y=O, x + y = 0, x—y = a, x + y=b. 39. Express **the area of a triangle in terms of the coordinates of its angular points** a, b ; a', V ; a", b", 40. Show that the lines, of which the equations are, all pass through one point.... | |
| Mathematics - 1862 - 428 pages
...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.— The Plane.... | |
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