 | Dionysius Lardner - 1828 - 434 lapas
...opposite side c, when the sides a, b, and either the angle c or the remaining side c are given. (311.) Given two sides and the included angle of a spherical triangle, to determine the angle under the chords of the sides. (312.) Corrections to be applied in practice. (313.)... | |
 | Thomas Curtis - 1829 - 804 lapas
...supplements g E, g F, are to be used in the gnomonic projection of the triangle. PROP. XX. PROB. XII. Given two sides, and the included angle of a spherical triangle, to describe the gnomonic projection of that triangle, and to find the measures of the other parts. Let... | |
 | University of Cambridge - 1831 - 552 lapas
...spherical triangle is the difference between the sum of its three angles and two right angles. 20. Having given two sides and the included angle of a spherical triangle, obtain the third side in a formula convenient for logarithmic computation. FRIDAY AFTERNOON .... Half-past... | |
 | Charles Davies - 1835 - 256 lapas
...EBE' is equal to the angle B of the spherical triangle, and the angle EAE" to the angle A. CASE II. Having given two sides and the included angle of a spherical triangle, to find the other parts. § 150. PI. 1. Fig. 2. Let ABC be the triangle, c and 6 the given sides, and A the given... | |
 | 1836 - 366 lapas
...spherical triangle is the 1831 difference between the sum of its three angles and two right angles. 31. Having given two sides and the included angle of a spherical triangle, obtain the third side in a formula convenient for logarithmic computation. 32. Having given the sides... | |
 | Charles Davies - 1840 - 260 lapas
...EBE' is equal to the angle B of the spherical triangle, and the angle EAE" to the angle A. CASC IT. Having given two sides and the included angle of a spherical triangle, to find the other parts. § 150. PI. 1. Fig. 2. Let ABC be the triangle, c and b the given sides, and A the given... | |
 | John Hymers - 1841 - 244 lapas
...these values and reducing, we find 0 = sin' £ (b + c) tan ^A - sin1 £ (ft - c) cot £ A, nearly. 60. Given two sides and the included angle of a spherical triangle, to find the spherical excess. cos 4 (a - b) , , „ — ¥7 - r' cot i С + tan i C cos ^ (а + 6) •* _ • l... | |
 | Thomas Grainger Hall - 1848 - 192 lapas
...Royal Society, and also in the last edition of the Trigonometry of the late Professor Woodhouse. 48. Given two sides, and the included angle of a spherical triangle, to find the angle contained by the chords. C_ Let a, /3, y be the chords of С A, CB, and AB. Let С be the included... | |
 | Anthony Dumond Stanley - 1848 - 134 lapas
...Sin AC : sin AB : : sin ABC : sin ACB ; wherefore also sin AC : sin BC : : sin ABC : sin BAC. 1 6. Given two sides and the included angle of a, spherical triangle / to find the other side and angles. In the spherical triangle ABC, let the two sides AB, AC, and the angle A be... | |
 | Charles Davies - 1851 - 254 lapas
...EBE' is equal to the angle B of the spherical triangle, and the angle EAE" to the angle A. CASE II. Having given two sides and the included angle of a spherical triangle, tofind the other parts. § 150. PI. 1. Fig. 2. Let ABC be the triangle, c and b the given sides, and... | |
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... respectively perpendicular to GC' and GC" : then construct a triangle with the lines HD, DC', and HC" ; the angle HCD will be equal to the angle C of the spherical triangle. It is plain that the angle EBE' is equal to the angle B of the spherical... 
