 | Theodore Graham Gribble - 1891 - 474 pages
...sines of the opposite angles. Let AB and a be given ; then C = 180° - (A + B) ..... (41) "«-> 2. When two sides and an angle opposite to one of them are given. Let a, b, and A be given. sin B = . . . (44) sin C = fi^A ...... (4S) B = 180° - (A + C) ..... (46)... | |
 | Theodore Graham Gribble - 1891 - 482 pages
...sines of the opposite angles. Let AB and a be given ; then C = 180° - (A + B) ..... (41) Case 2. When two sides and an angle opposite to one of them are given. Let a, 6, and A be given. sin B . ^ . ' ..... (44) sin C = f- s A n - ..... . (45) a B = 180° - (A... | |
 | George Albert Wentworth - 1892 - 186 pages
...angle are given, 123 ; Case II., when two angles and the included side are given, 125 ; Case III., when two sides and an angle opposite to one of them are given, 127; Case IV., when two angles and a side opposite to one of them are given, 129 ; Case V., when the... | |
 | George Albert Wentworth - 1892 - 372 pages
...angle are given, 123 ; Case II., when two angles and the included side are given, 125 ; Case III., when two sides and an angle opposite to one of them are given, 127; Case IV., when two angles and a side opposite to one of them are given, 129 ; Case V., when the... | |
 | George Albert Wentworth - 1894 - 196 pages
...angle are given, 123 ; Case II., when two angles and the included side are given, 125 ; Case III., when two sides and an angle opposite to one of them are given, 127; Case IV., when two angles and a side opposite to one of them are given, 129 ; Case V., when the... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...S, (b) S, (r) cos ^A, (//) A to the nearest second by means of the value of cos iA. (20.) 37. When two sides and an angle opposite to one of them are given, show that they may be parts of two triangles. If the lengths of the given sides are 200 and 300 and... | |
 | George Albert Wentworth - 1895 - 436 pages
...angle are given, 150; Case II., when two angles and the included side are given, 158 ; Case III., when two sides and an angle opposite to one of them are given, 160 ; Case IV., when two angles and a side opposite to one of them are given, 162; Case V., when the... | |
 | Henry Sinclair Hall, Samuel Ratcliffe Knight - 1895 - 398 pages
...sides and the included angle are given CASE III. When two angles and a side are given CASE IV. When two sides and an angle opposite to one of them are given. Sometimes this case is ambiguous . The Ambiguous Case discussed geometrically .... The Ambiguous Case... | |
 | George Albert Wentworth - 1895 - 404 pages
...angle are given, 156; Case II., when two angles and the included side are given, 158 ; Case III., when two sides and an angle opposite to one of them are given, 160 ; Case IV., when two angles and a side opposite to one of them are given, 162 ; Case V., when the... | |
 | George Albert Wentworth - 1895 - 422 pages
...angle are given, 156; Case II., when two angles and the included side are given, 158 ; Case III., when two sides and an angle opposite to one of them are given, 160 ; Case IV., when two angles and a side opposite to one of them are given, 162; Case V., when the... | |
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PS, the polar distance, and the angle at P are known, and ZP, the co-latitude, is the quantity sought. The formula given by Baily, for finding the third side, when the other two sides and an angle opposite to one of them are given, is tan a' == cos given... 
