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Libros Libros 1 - 10 de 25 sobre Given two sides and the included angle, to find the third side and the remaining...
" 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... "
The Complete Mathematical and General Navigation Tables: Including Every ... - Página 13
por Thomas Kerigan - 1828 - 664 páginas
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

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...
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The Mathematical Questions Proposed in the Ladies' Diary: And ..., Volumen1

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...
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A Popular Exposition of the System of the Universe: With Plates and Tables

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...
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Elements of analytic trigonometry, plane and spherical

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...
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Elements of Plane and Spherical Trigonometry: With Its Applications to the ...

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...
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The Complete Mathematical and General Navigation Tables: Including Every ...

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...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

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...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

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...
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Plane and Spherical Trigonometry ...

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...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

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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