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Libros Libros 51 - 60 de 70 sobre TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES',...
" TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE. "
Elements of Plane and Spherical Trigonometry: With Their Applications to ... - Página 30
por Olinthus Gregory - 1816 - 244 páginas
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The practice of engineering field work, applied to land, hydrographic, and ...

W. Davis Haskoll - 1858 - 324 páginas
...169 II. When the three given parts are two sides and the included angle. — As the sum of the two given sides is to their difference, so is the tangent of half the sum of the opposite angles to the tangent of half their difference. In the triangle ABC, AB = 345, and BC = 174,...
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Practical military surveying and sketching

Alfred Wilks Drayson - 1861 - 192 páginas
...quantities we proceed as follows : — Suppose AB, BC, known, and the angle ABC. Then as the sum of the two sides Is to their difference, So is the tangent of half the sum of the two unknown angles To the tangent of half their difference. Half their difference thus found, added...
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Popular and mathematical astronomy, with the principal formulæ of plane and ...

William Thomas Read - 1862
...two sides and the included angle, to find the rest. Proposition HI. may here be written as a rule. " As the sum of the given sides is to their difference, so is the tangent of half the sum of the opposite angles to the tangent of half their difference. And the half difference added to half the...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

1863
...the preceding section. Thus: take the given angle from 180°, the remainder will be the sum of the other two angles. Then say, — As the sum of the...difference ; So is the tangent of half the sum of _ the remaining angles, To the tangent of half their difference. Then, secondly, say, — As the cosine...
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 428 páginas
...this rule may be enunciated in general terms; thus, As the sum of two sides of a plane triangle'is to their difference, so is the tangent of half the sum of the angles opposite those sides to the tangent of half the difference of those angles. Let ABC (Fig. 47)...
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Navigation

James Pryde - 1867 - 458 páginas
...subtract them, this will give a + b and a — b/ then the sum of the sides is to their difference as the tangent of half the sum of the remaining angles to the tangent of half their difference. The half sum and half difference being added, gives the greater angle, which is always opposite the...
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Land and marine surveying

William Davis Haskoll - 1868 - 184 páginas
...required 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
...BC DC 0 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
...36" i 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 sum of the angles at the base, to the tangent of half their difference. Let x= the half difference between D and...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - 318 páginas
...opposite to the latter. 3. In any plane trianf/le, as the sum of the sides about the vertical angle is to their difference, so is the tangent of half the sum of the angles at the base to the tangent of half their difference. 4. In any plane triangle, as the cosine...
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