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 Libros Libros 81 - 90 de 99 sobre AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles...
AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles ACB and ABC, to the tangent of half their difference.
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - Página 18
por Olinthus Gregory - 1816 - 244 páginas
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## Mathematics for Practical Men: Being a Common-place Book of Principles ...

1863
...the tangent of the sum or difference of the arcs. 11. As the sum of the sines of two unequal arcs, is to their difference ; so is the tangent of half the sum of those two arcs to the tangent of half their difference. 12. Of any three equidifferent arcs, it will...
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## A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 428 páginas
...180° : the remainder will be the sum of the remaining angles. Then, As the sum of the given sides is to their difference, so is the tangent of half the sum of the remaining angles to the tangent of half their difference. This half difference added to the half sum...
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## Land and marine surveying

William Davis Haskoll - 1868 - 184 páginas
...angle will be acute. When two sides and their included angle are given. — As the sum of any two sides is to their difference, So is the tangent of half the sum of their opposite angles, to the tangent of half their difference. Then the half difference of these angles,...
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## The theory of navigation and nautical astronomy, together with the elements ...

William Thomas Read - 1869 - 154 páginas
...DC a 1. Sin В Or Sin A : sin B : : a : Ъ. (2) In any plane triangle, as the sum of any two sides is to their difference, so is the tangent of half the sum of the opposite angles, to the tangent of half their difference. From the preceding, we have, a^_ sin A Ъ...
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## Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ...

1875
...sum 71° 50' 48" Here we will apply the following theorem in trigonometry. As the sum of two sides is to their difference, so is the tangent of half...the base, to the tangent of half their difference. Let x= the half difference between D and C. Then, Or, 3268 817 412 103 Log. 103 Tan. 71° 50" 48" tan....
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## Military surveying and field sketching

...150° T — 29° 3'. and \ (E + F) = 14° 31' 30". The sum of the two sides is to their difference, as the tangent of half the sum of the angles at the base, to the tangent of half their difference. Ar. co. Log. (e + /) 3922'92 = 6'406347 Log. (e -/) 1769'86 = 3'247939 Log. tan. i (E + F) 14° 31'...
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## Manual of Rules, Tables & Data for Mechanical Engineers ...

Daniel Kinnear Clark - 1878 - 984 páginas
...the included angle are gii'cn. RULE 4. To find the other side: — as the sum of the two given sides is to their difference, so is the tangent of half the sum of their opposite angles to the tangent of half their difference — add this half difference to the half...
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## The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - 318 páginas
...will be the sum of the other two angles. Then, by proposition 3, — As the sum of the given sides is to their difference, So is the tangent of half the sum of the remaining angles to the tangent of half their difference. Half the sum of the remaining angles added...
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## Elements of Plane and Spherical Trigonometry with Logarithmic and ..., Volumen1

Simon Newcomb - 1882 - 168 páginas
...a more convenient method founded on the following theorem : THEOREM IV. As the sum of any two sides is to their difference, so is the tangent of half the sum of the angles opposite these sides to the tangent of half their difference. Proof. From the equation 5 : c :: sin/?...
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## Text Book of Military Topography: Including the Courses of Instruction at ...

William Hamilton Richards - 1883 - 226 páginas
...angle are known, and the third side is required. The sum of the two sides is to their difference, as the tangent of half the sum of the angles at the base, to the tangent of half their difference. Let the known sides be / 1076-53 and e 2846-39, and B the contained angle 150° 7', to find the other...
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