...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...

...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...

...area included between the lines, . i + a. 36. Find the area included between the lines, 37. Express the area of a triangle in terms of the coordinates of its angular points a, b ; a', b 1 ; a", b". x—y = o, x-\-y = o, x—y=a, x + y=b. II. CIRCLE. 39. If x*— fcy + y*...

...co-ordinates of C. It is obvious from the figure that that is Similarly, LN _AD AC NM~ DE~ CB' 11. To express the area of a triangle in terms of the coordinates of its angular points. Let ABC be a triangle ; let BM, CN. The area of the triangle is equal to the trapezium ABML + trapezium...

...G. It is obvious from the figure that that is Similarly, LN_AD_AC NM~~DR~ OB } — x 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 v be the co-ordinates of A ; x 2 , y^ those of B; x y y$, those of...

...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 (x&i, x^ u X 3 y 3 } in reference to rectangular axes is ( Young's Analytical...

...+ a. y = ax + b, y=a'x + b', y=a"x + b". 38. Find the area included between the lines, 39. Express the area of a triangle in terms of the coordinates of its angular points a, b ; a', b' ; a", b". x—y=o, x + y = o, x—y = a, x + y=b. 40. Show that the lines, of which the...

...a. 38. Find the area included between the lines, y = ax+b, y = a'x + b', y = a"x + b". 39. Express the area of a triangle in terms of the coordinates of its angular points a, b ; a', b 1 ; a", b". x—y = o, x + y = 0, x—y = a, x + y=b. 40. Show that the lines, of which...

...dy 1) [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...

...dx/) [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...