| Simon Newcomb - 1882 - 104 páginas
...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... | |
| William Davis Haskoll - 1886 - 230 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,... | |
| 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... | |
| Daniel Kinnear Clark - 1889 - 1011 páginas
...two 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... | |
| William Findlay Shunk - 1890 - 339 páginas
...other two angles. Then, by proposition 3, — As the sum of the given sides is to their differenee, 8o **is the tangent of half the sum of the remaining angles to the tangent of half their** differenee. Half the sum of the remaining angles added to half their differenee will give the larger... | |
| William Findlay Shunk - 1890 - 339 páginas
...opposite to the latter. 3. In any plane triangle, 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... | |
| William Findlay Shunk - 1908 - 345 páginas
...opposite to the latter. 3. In any plane triangle, 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... | |
| William Miller Barr - 1918
...When two 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... | |
| Isaac Newton, D. T. Whiteside - 2008 - 722 páginas
...the tangent of half the included angle to the cosine of half the sum of the remaining angles (or as **the tangent of half the sum of the remaining angles to the** cotangent of half the included angle). 14. As the sine of the half sum of the crura to that of their... | |
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