 | Henry Parr Hamilton - 1826 - 354 sider
...is- the same value as in (l) ; therefore the lines meet in the same point. 64. PROP. 5. To find the area of a triangle, in terms of the co-ordinates of its angular points ; the axes OX, OF being oblique. Let the co-ordinates of A, B, C, respectively be x',y • x",y" '•... | |
 | Duncan Farquharson Gregory - 1845 - 364 sider
...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... | |
 | Duncan Farquharson Gregory - 1845 - 308 sider
...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... | |
 | Alfred Wrigley - 1852 - 344 sider
...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.... | |
 | Isaac Todhunter - 1855 - 332 sider
...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... | |
 | James Joseph Sylvester, James Whitbread Lee Glaisher - 1862 - 410 sider
...abc fUíf therefore 2Д' = and «' = {2 1 /S!7s I' - 2S 1 7,«. II «AI 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.... | |
 | Isaac Todhunter - 1861 - 582 sider
...[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 of... | |
 | Isaac Todhunter - 1861 - 578 sider
...[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... | |
 | Alfred Wrigley - 1862 - 330 sider
...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.... | |
 | Isaac Todhunter - 1862 - 360 sider
...the co-ordinates of the point midway between two given points ; then и, = n3 and 11. To express the area of a triangle in terms of the coordinates of its angular points. Let ABO be a triangle; let xlt y 'be the co-ordinates of A ; хг, у, those of B; xt, y, those of... | |
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Find an expression for the area of a triangle in terms of the coordinates of its angular points. 
