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" TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE. "
A System of Geometry and Trigonometry: Together with a Treatise on Surveying ... - Página 27
por Abel Flint - 1804 - 168 páginas
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1880 - 318 páginas
...remainder 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 Other ...

Simon Newcomb - 1882 - 104 páginas
...last section. But there is 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 b : o...
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Land and Marine Surveying in Reference to the Preparation of Plans for Roads ...

William Davis Haskoll - 1886 - 230 páginas
...greater side, the 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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Philosophical Transactions of the Royal Society of London

1828
...the following method : As the tangent of half the sum of the co-latitudes is to the tangent of half their difference ; so is the tangent of half the sum of the observed angles, to the tangent of half their difference. The triangle is thus reduced to a spherical...
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Manual of Rules, Tables, and Data for Mechanical Engineers: Based on the ...

Daniel Kinnear Clark - 1889 - 1011 páginas
...sides and the included angle are given. 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 - 1890 - 339 páginas
...remainder 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 angle« to the tangent of half their difference!. Half the sum of the remaining angles added...
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The Field Engineer: A Handy Book of Practice in the Survey, Location, and ...

William Findlay Shunk - 1908 - 345 páginas
...remainder 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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Industrial Engineering: A Handbook of Useful Information for ..., Volumen1

William Miller Barr - 1918
...sides and the included angle are given. 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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