 | William Galbraith - Astronomy - 1834 - 454 pages
...equal to 92° 46', it will cut AB in B forming the triangle ABC which was Ac JJ required. 6. Given two sides, and an angle opposite one of them, to find the other angles and the third side. In the triangle ABC are given the side AB 274, AC 306, and the angle B 78°... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...given two sides and the included angle. 6. Having given two angles and the included side. CASE I. Given two sides, and an angle opposite one of them, to find the re maining parts. For this case we employ equation (1.) ; As sin a : sin b : : sin A : sin B. Ex. 1.... | |
 | James Elliot - 1851 - 162 pages
...63° 55' + , or 116° 5'- ; and 67° 38'-, or 15° 28' ±. PROBLEM IV. In any Triangle, having given two Sides and an Angle opposite one of them, to find the third Side. RULE. Find the angles by Problem in, and then the third side by Problem n. NOTE. When the... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...given two sides and the included angle. 6. Having given two angles and the included side. CASE I. Given two sides, and an angle opposite one of them, to find the remaining parts. 19. For this case, we employ equations (3) ; sin a : sin & : : sin A Ex. 1. Given... | |
 | 1853 - 476 pages
...sides opposite. 11. In a spherical triangle, find sin J A. 12. Given two sides of a spherical triangle, and an angle opposite one of them, to find the other parts. 13. Prove Napier's analogies. 14. Given a = 64° 40', and b = 42° 12' in a right angled spherical... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...given two sides and the included angle. 6. Having given two angles and the included side. CASE I. Given two sides, and an angle opposite one of them, to find the remaining parts. 19. For this case, we employ proportions (3); sin a : sin b : : sin A .Ex. 1. Given... | |
 | Elias Loomis - Trigonometry - 1855 - 192 pages
...and the included side. 5. Given the three sides. • 6. Given the three angles. CASE I. (219.) Given two sides and an angle opposite one of them, to find the remaining parts. by Theorem III. ^/ \ In the triangle ABC, let there be given the two sides AC and... | |
 | Elias Loomis - Logarithms - 1859 - 372 pages
...angles and the included side. 5. Given the three sides. 6. Given the three angles. CASE I. (219.) Given two sides and an angle opposite one of them, to find the remaining parts. In the triangle ABC, let there be given the two sides AC and BC, and the angle A opposite... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...the last significant figure on the right, which must be subtracted from 10. (§ 32.) CASR 1I. Given, two sides and an angle opposite one of them, to find the other parU. e _B Suppose the sides a and 5 to be given, and the angle A opposite the side a. By Theorem I.,... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...Then find the remaining sides by the formula (867), sin. A : sin. B : : a : b. 872. Problem — Given two sides and an angle opposite one of them, to find the other angles and side. Find the angle opposite the other given side by the formula, a : b : : sin. A : sin.... | |
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Given two sides, and an angle opposite one of them, to find the remaining parts. 19. For this case, we employ proportions (3); sin a : sin b : : sin A .Ex. 1. Given the side a = 44° 13• 45", b = 84° 14• 29", and the angle A = 32° 26• 07" : required... 
