 | William Chauvenet - 1852 - 268 pages
...291".83 9' 43".66 86° 50' 16".34 2.46515 291".84 9' 43".68 86° 50' 16".32 160. In a spherical oblique triangle, given two sides and the included angle, to find the other angles and side by series. If a, o and C are the data, to find c, we have cos c = cos a cos b -f. sin... | |
 | Horatio Nelson Robinson - History - 1853 - 334 pages
...possible, AC must not be less than AB, the sine of the angle D9 when DA is made radius. EXAMPLE 3. In any plane triangle, given two sides and the included angle, to find the other parts. Let ^D=1751 (see last figure), D.#=2364.5, and the included angle D=41° 17' 19". We are required to find... | |
 | Horatio Nelson Robinson - Conic sections - 1854 - 350 pages
...possible, AC must not be less than Ali, the sine of the angle D, when DA is made radius. EXAMPLE 3. In any plane triangle, given two sides and the included angle, to find the other parts. Let AI>=1751 (see last figure), JXE=2364.5, and the included angle Z>=41° 17' 19". We are required to... | |
 | Horatio Nelson Robinson - Navigation - 1858 - 356 pages
...possible, AC must not be less than AB, the sine of the angle D, when DA is made radius. EXAMPLE 3. In any plane triangle, given two sides and the included angle, to find the other parts. Let AD=1751 (see last figure), .0^=2364.5, and the included angle D=41° 17' 19". We are required to find... | |
 | Elias Loomis - Trigonometry - 1859 - 218 pages
...2. Given the angle A, 105°, the side BC, 498, and the side AC, 375, to construct the triangle. III. Given two sides and the included angle, to find the other parts. Draw one of the given sides. From one end of it lay off the given angle, and draw the other given side,... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...log. c = 1-509940 and o = 32-355. This second solution corresponds with, the second figure. CASE 1I1. Given, two sides and the included angle, to find the other parts. c Suppose the sides 5 and c, with the included angle A, to be given. By subtracting the angle A from... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...— To make the triangle possible, AC must not be less than AJi, the sine of the angle D, when DA is made radius. PROBLEM III. In any plane triangle, given...than the angle DAE, because it is opposite a less &.de. From 180° Take D, 31° 17' 19", Sum of the other two angles, = 148° 42' 41", (Th. 11, B. I),... | |
 | Theodore Graham Gribble - Surveying - 1891 - 482 pages
...angles. Let j = i (a + b + c). sin // x sin and for B and C the formula: are exactly analogous. Rule 2. Given two sides and the included angle to find the other parts. Let a and b be the sides and C the given angle. sin i (a + b) : sin i (a ~ b) : : cot JC : tan -i (A ~... | |
 | Ephraim Miller - Plane trigonometry - 1894 - 222 pages
...and [59] are applicable. But the three formulae of [59] are generally to be preferred. 105. CASE III. Given two sides and the included angle ; to find the other parts. We obtain the simplest solution of this problem by means of Xapier's Analogies, formula; [61], Art.... | |
 | Windham Thomas Wyndham-Quin Earl of Dunraven - Nautical astronomy - 1900 - 400 pages
...ABC n, = 56° 24' 23-5" B = 123° 35' 36-5" c =92° 7'36-5" c= 24° 56'23-5" c = 1-0797 c = -45559 4. Given two sides and the included angle, to find the other parts. In the triangle AB c, let A = 31° 28', b = 900, and c = 455'6. To find the other parts. Fio. 21 AB... | |
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D = 31° 17' 19". We are required to find AE, the angle DAE, and the angle E. Observe that the angle E must be less than the angle DAE, because it is opposite a less &.de. From 180° Take D, 31° 17' 19", Sum of the other two angles, = 148° 42 