| Benjamin Greenleaf - Geometry - 1861 - 638 pages
...the other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included angle is to the tangent of half the difference of the other two angles. BOOK V. cos 4 (A -+- 13) : cos £ (4 — 5) : : tan £ c : tan... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...the other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included angle is to the tangent of half the difference of the other two angles. cos £ (A -f- B) : cos £ (A — B) : : tan £ c : tan £ (a +... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...the other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included angle is to the tangent of haJf the difference of the other two angles. By applying (186) and (187) to the polar triangle, Art.... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...the other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included angle is to the tangent of half the difference of the other two angles. BOOK V. cos £ (A + B) : cos £ (A — B) : : tan £ c : tan £... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...two sides is to the cosine of half their difference, so is the cotangent of half the included angle to the tangent of half the sum of the other two angles. And As the sine of half the sum of two sides is to the sine of half their difference, so is the cotangent... | |
| Benjamin Greenleaf - 1869 - 516 pages
...the other two angles. The sine of half the sum of two sides of a spherical triangle is to the sine of half their difference as the cotangent of half the included angle is to the tangent of half the difference of the other two angles. cos £ (A + B) :cos$(A — 5) : : tan $ e : tan 4(a -f- 6), (188)... | |
| 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... | |
| Edward Olney - Geometry - 1872 - 562 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... | |
| 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... | |
| Edward Olney - Trigonometry - 1872 - 216 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... | |
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