| Benjamin Peirce - 1845 - 498 lapas
...the two sines and cosecant were taken from the tables without any diminution, as required by § 30. 5 Given two sides and an angle opposite one of them. a : b = sin. A : sin. В ; whence sin. В = -.— — . (134) Secondly. The third angle is found by subtracting... | |
| Benjamin Peirce - 1845 - 498 lapas
...the two sines and cosecant were taken from the tables without any diminution, as required by § 30. Given two sides and an angle opposite one of them. a : b = sin. A : sin. /{ ; whence b sin. A sin. J5 = . (134) Secondly. The third angle is found by subtracting... | |
| William Chauvenet - 1852 - 268 lapas
...therefore 4 to ten figures, which could not be done by the ordinary methods without ten-figure tables. 132. CASE II. Given two sides and an angle opposite one of them, or a, b and A. To find B. To find the angle opposite the other given side, we apply Art. 117, and state... | |
| Adrien Marie Legendre - 1863 - 464 lapas
...21' 25", and a = 305.296 ft., to find A, b, and c. . A = 91° 23', 5 = 238.1978 ft., c = 185.3 ft. CASE II. Given two sides and an angle opposite one of them, to find the remaining parts. 44. The solution, in this case, is commenced by finding a second angle... | |
| Edwin Pliny Seaver - 1871 - 78 lapas
...(A — B) a — о = ; — j = — • 8Ш A which is obtained by combining (106) with (47). 13,2i CASE II. Given two sides and an angle opposite one of them, a, b, and A. First Solution. (1.) log sin В = co-log a -f- log 6 -\- log sin A giving supplementary values of B.... | |
| Charles Davies - 1872 - 464 lapas
...21' 25", and a = 305.296 ft., to find A, b, and c. Ana. A = 91° 23', * = 238.1978 ft., c = 185.3 ft. CASE II. Given two sides and an angle opposite one of them, to find the remaining parts. 44. The solution, in this case, is commenced by finding a second angle... | |
| Aaron Schuyler - 1873 - 508 lapas
...b = 585.2 yd. lc = 529.8 j/rf. f A = 54° 05' 51". Req. < c — 11.72 miles. I 0 = 10.91 miles. 71. Case II. Given two sides and an angle opposite one of them, required the remaining parts. 1. WHEN THE GIVEN ANGLE is ACUTE. Let the sides a and b and the angle... | |
| Adrien Marie Legendre - 1874 - 500 lapas
...21' 25", and a = 305.296 ft., to find A, b, and c. Ans. A = 91° 23', 6 = 238.1978 ft., C = 185.3 ft. CASE II. Given two sides and an angle opposite one of them, to find tlie remaining parts. 44. The solution, in this case, is commenced by finding & second angle... | |
| Henry Nathan Wheeler - 1876 - 204 lapas
...70°58' Example II. Given a = 0.3578, B = 32° 41', C = 47° 54'. . Answers. A=99° 25', 6 = 0.1959, c = 0.2691. § 85. CASE II. Given two sides and an angle opposite one of them, — a, 6, and A: find c, B, and C. It has already been stated (§ 63), that, in general, a triangle can be... | |
| Henry Nathan Wheeler - 1876 - 254 lapas
...=1.5652 Example H. Given a = 0.3578. В = 32° 41'. С = 47° 54'. Answers. А = 99° 25', 6=0.1959. с = 0.2691. § 85. CASE II. Given two sides and an angle opposite one of them, — a. 6. and A: find c. B. and C. It has already been stated (§ 63) . that. in general. я triangle can... | |
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