| Olinthus Gregory - 1816 - 244 páginas
...proceed to the next problem in this case. 2. To find the side c opposite to the given angle « ; that is, **given two sides and the included angle, to find the third side.** Find from the data a dependent angle $, such that tan Q = cos c tan b .... (12.) Substitute for cos... | |
| Thomas Leybourn - 1817 - 840 páginas
...axts of the ecliptic and equator at the creation-. Hence in an oblique spherical triangle, we have **given two sides and the included angle, to find the third side ; viz.** given one side ~ 24° 1 3' 26" the distance of the pole of the equator from that of the ecliptic, the... | |
| Ferdinand Rudolph Hassler - 1826 - 230 páginas
...C we shall always have — /.I, according to the original supb position of BA C. § 56. Problem 3. **Given two sides and the included angle, to find the third side.** Given, a, c, and B, to find b ; in the same triangle, let d denote the perpendicular upon a, as in... | |
| Ferdinand Rudolph Hassler - 1826 - 192 páginas
...shall always have — ¿1, according to the original supЬ position of В л С. § 56. Problem 3. **Given two sides and the included angle, to find the third side.** Given, a, c, and B, to find б ; in the same triangle, let rf denote the perpendicular upon a, as in... | |
| John Radford Young - 1833 - 208 páginas
...the observations ; and the quantity sought is the colatitude ZP. Now, in the triangle PSS', we have **given two sides and the included angle to find the third side** SS', and one of the remaining angles, say the angle PSS'. In the triangle ZSS' we have given the three... | |
| Thomas Kerigan - 1838
...complement of the polar star's altitude, and the complement of its declination ; in which there are **given two sides and the included angle to find the...the north celestial pole, as seen from the equator.** For the sake of conciseness, the polar star's altitude, as seen from the equator, may be determined... | |
| Charles William Hackley - 1838 - 307 páginas
...the observations ; and the quantity sought is the colatitude ZP. Now, in the triangle PSS', we have **given two sides and the included angle to find the third side** ss', and one of the remaining angles, say the angle PSS'. In the triangle zss' we have given the three... | |
| John Hymers - 1841 - 151 páginas
...suppose, and the colatitudes PA = b, PB = а, are known ; so that in the spherical triangle APB there are **given two sides and the included angle to find the third side** А В = с, which may be done by the formulae (Art. 43.) cos a cos (b - в) tan 9 = tan a cos C, cos... | |
| Henry W. Jeans - 1842
...12 7 C=55° 2' 15" 45 46 (153) a = 512 Ans. z/ = 54°8' 11" 6 = 627 B = 82 58 11 C = 42° 53' 38" V. **Given two sides, and the included angle to find the third side.** Add together 10.602060, log. haversine of given angle, and logarithm of each given side : take half... | |
| Charles William Hackley - 1851 - 372 páginas
...the observations ; and the quantity sought is the colatitude ZP. Now, in the triangle PSS , we have **given two sides and the included angle to find the third side** ss', and one of the remaining angles, say the angle PSS'. In the triangle zss' we have given the three... | |
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