| Charles William Hackley - Trigonometry - 1851 - 524 pages
...spherical triangle it to the cosine of half their difference, as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles. The second may be repeated in a similar manner, changing cosine into sine and tangent of the... | |
| Benjamin Peirce - Trigonometry - 1852 - 382 pages
...of a spherical triangle is to the sine of half their difference^ as the tangent of half the side to **which they are both adjacent is to the tangent of half the** difference of the other two sides ; that is, in the spherical triangle ABC (figs. 32 and 33), sin.... | |
| Benjamin Greenleaf - Geometry - 1862 - 514 pages
...spherical triunyle is to the cosine of half their difference as the tangent of half the included side **is to the tangent of half the sum of the other two sides.** The sine of half the sum of two angles of a spherical triangle is to the sine of half their difference... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 pages
...spherical triangle is to the cosine of half their difference as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their... | |
| Benjamin Greenleaf - Geometry - 1861 - 628 pages
...spherical triangle is to the cosine of half their difference as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...spherical triangle is to the cosine of half their difference as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...of two angles is to the cosine of half their difference, so is the tangent of half the included side **to the tangent of half the sum of the other two sides;** and As. the sine of half the sum of two angles is to the sine of half their difference, so is the tangent... | |
| Benjamin Greenleaf - 1869 - 516 pages
...spherical triangle is to the cosine of half their difference as the cotangent of half the included angle **is to the tangent of half the sum of the other two** angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their... | |
| Edward Olney - Trigonometry - 1885 - 222 pages
...upon the opposite side or side produced, the tangent of half the sum of the segments* of that side **is to the tangent of half the sum of the other two sides,** as the tangent of half the difference of those sides is to the tangent of half the difference of the... | |
| Edward Olney - Geometry - 1872 - 472 pages
...upon the opposite side or side produced, the tangent of half the sum of the segments* of that side **is to the tangent of half the sum of the other two sides,** as the tangent of half the difference of those sides is to the tangent of half the difference of the... | |
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