 | David Hewitt - Trigonometry - 1840 - 156 pages
...-r- 6 ^ (47) and (Prop. 96) tan A . tan В . tan С ' = 4 cos Л . cos В . сos С (26). 98. From the expression for the area of a triangle in terms of the sides deduce the following. A В С A В С cot - + COt - + cot - = cot - . cot -- . cot - . Since... | |
 | Euclides - 1845 - 546 pages
...F must be in the same straight line. 166. This question is rather Algebraical than Geometrical. If the expression for the area of a triangle in terms of the sides may be assumed, the equation which connects the radii of the three circles may be deduced from... | |
 | Duncan Farquharson Gregory, William Walton - Geometry, Analytic - 1845 - 306 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... | |
 | Duncan Farquharson Gregory - 1845 - 364 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... | |
 | Euclid, Robert Potts - Euclid's Elements - 1847 - 118 pages
...F must be in the same straight line. 166. This question is rather Algebraical than Geometrical. If the expression for the area of a triangle in terms of the sides may be assumed, the equation which connects the radii of the three circles may be deduced from... | |
 | Alfred Wrigley - 1852 - 344 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 476 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. In AD... | |
 | Isaac Todhunter - Geometry - 1855 - 332 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... | |
 | Isaac Todhunter - Calculus of variations - 1861 - 578 pages
...+-j^d'x + -^d'ij. The double of the area of this trianle is known to be [Tliis follows from the known expression for the area of a triangle in terms of the co-ordinates of its angular points, in conjunction with the theorem which connects the area of any plane figure with the... | |
 | Mathematics - 1862 - 428 pages
...2A 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.—... | |
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Find an expression for the area of a triangle in terms of the coordinates of its angular points. 
