| 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... | |
| 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... | |
| 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,... | |
| 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
...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
...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... | |
| 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... | |
| 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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