 | William Smyth - Plane trigonometry - 1834 - 104 pages
...41.5 feet, and the angle B 30° ; required the remaining parts. 16. In this last example, in which the side opposite the given angle is less, than the other given side, the solution is ambiguous ; for if from the point A, with a radius equal to AC, we describe the arc... | |
 | John William Norie - Nautical astronomy - 1852 - 844 pages
...other given side, then the angle opposite that other given side, is always acute ; but when the given side, opposite the given angle, is less than the other given side, then the angle opposite that other given side may be either acute or obtuse, which consequently must... | |
 | William Smyth - Navigation - 1855 - 234 pages
...be a side. If, however, the given parts are two of the sides and an angle opposite one of them, and the side opposite the given angle is less than the other given side, in order to determine the triangle we must know whether the angle sought be acute or obtuse. 16. From... | |
 | William Frothingham Bradbury - Plane trigonometry - 1864 - 324 pages
...11' 2", comp. 0.404851 : sin. C 131° 4' 58" 9.877234 : : b 49.87 1.697839 : c 95.483 1.979924 If BC, the side opposite the given angle, is less than the other given side AC, and the given angle is ^^^V/ I \./ acute, there are two triangles which **''**-£-,-• B satisfy... | |
 | Samuel Alsop - Surveying - 1865 - 440 pages
...should be taken acute or obtuse. By reference to the construction, (Fig. 46,) we see that whenever the side opposite the given angle is less than the other given side, and greater than the perpendicular BD, the triangle will admit of two forms: ABC, in which the angle opposite to the side... | |
 | James M'Dowell - 1866 - 124 pages
...greater than b, and therefore A may be either acute, right, or obtuse, but B must be acute. Therefore when the side opposite the given angle is less than the other given side, there are generally two solutions ; and when it is greater than the other side, there is only one solution.... | |
 | Charles Davies - Geometry - 1872 - 464 pages
...other given side, there will be but one solution. When the given angle is acute, and the side t4>posite the given angle is less than the other given side, and greater than the shortest distance from E to DG, there will be two solutions, DEQ and DEF. When the side opposite the... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...angle A is less than the perpendicular, or if the given angle is right or obtuse, and at the same time the side opposite the given angle is less than the other given side, the solution is impossible. 13. Corollary. From this and the preceding Problem and Theorems VIII.,... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...angle A is less than the perpendicular, or if the given angle is right or obtuse, and at the same time the side opposite the given angle is less than the other given side, the solution is impossible. 131 Corollary. From this and the preceding Problem and Theorems VIII.,... | |
 | Charles Davies - 1874 - 464 pages
...than the other given side, there will be but one solution. When the given angle is acute, and the skip opposite the given angle is less than the other given side, and •"•*" greater than the shortest dis- '"' tance from E to DG, there will be two solutions, DEG and DEF. When the side rX. ../•... | |
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When the given angle is acute, and the side apposite the given angle is less than the other given side, and greater than the shortest dis. 
