 | Olinthus Gregory - 1816 - 276 σελίδες
...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 - 442 σελίδες
...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 - 640 σελίδες
...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 - 208 σελίδες
...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 - 308 σελίδες
...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 - 804 σελίδες
...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 - 328 σελίδες
...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 - 244 σελίδες
...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 - 138 σελίδες
...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 - 524 σελίδες
...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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Given two sides and the included angle, to find the third side and the remaining angles. The sum of the required angles is found by subtracting the given angle from 180°. The difference of the required angles is then found by Theorem II. Half the difference... 
