 | Olinthus Gregory - 1816 - 276 pages
...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 pages
...made by thp 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,... | |
 | Ferdinand Rudolph Hassler - 1826 - 208 pages
...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... | |
 | Ferdinand Rudolph Hassler - 1826 - 640 pages
...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... | |
 | Thomas Kerigan - 1828 - 776 pages
...altitude, and the complement DESCRIPTION AND USB OF THE TABLES. of hs declination ; in which there arc given two sides and the included angle to find the third side; viz., the star's co-declination or polar distance and the complement of the latitude, with the comprehended... | |
 | Thomas Kerigan - 1838 - 804 pages
...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 third side; viz. the star's co-declination or polar distance and the complement of the latitude, with the comprehended... | |
 | John Hymers - 1841 - 244 pages
...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 pages
...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 pages
...the altitudes are taken. Then, drawing the great circle arcs as in the figure, we shall have these given quantities, viz., the codeclinations PS, PS'...zss' we have given the three sides to find the angle s'az ; having then the angles PSS', s'sz, the angle ZSP equal to their difference, becomes known, so... | |
 | Charles William Hackley - 1851 - 536 pages
...given quantities, viz., the codeclinations pa, PS'; the coaltitudes zs, zs', and the hour angle srs', which measures the interval between the observations...ss', and one of the remaining angles, say the angle rss'. In the triangle zss' we have given the three sides to find the angle S'BZ ; having then the angles... | |
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PS' ; the coaltitudes zs, zs', and the hour angle SPS', which measures the interval between 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... 
