 | William Hawney - Astronomy - 1725 - 504 pages
...demonftrated by Mr. Ougktrtd, in his Trigonor metry. AXIOM I. As the Sine of half the Sum of two Sides' To the Sine of half their Difference ; So is the Co-tangent...half the contained Angle, To the Tangent of half the Difference of the other Angles. Again : As the Co-fine of half the S_um of the Sides, To the Co-fine... | |
 | Mathematics - 1801 - 658 pages
...recommend it. And it is contained in the following Theorems. THEOREM IV. As the sine of half the sum of two sides . Is to the sine of half their difference, So is the cotangent of half their contained angle To the tangent of half the difference of the other angles, I NOTE. NOTE. It"... | |
 | Francis Nichols - Plane trigonometry - 1811 - 162 pages
...determined. These two theorems are very commodious in practice. PROP. XVIII. . 76. In any spherical triangle the sine of half the sum of any two sides 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... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 136 pages
...RULE. — When two sides and an included angle are given :— 1. As the sine of half the sum of the two sides is to the sine of half their difference so is the cotangent of half their contained angle to the tangent of half the difference of the other angles ; and again, 2. As... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...When two tides and an included angle are given:— 1. As the sine of half the sum of the two side* is to the sine of half their difference so is the cotangent of half their contained angle to the tangent of half the difference of the other angles ; and again, 2. As... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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 of half the included angle to the tangent of half the difference of tlie other two angles. This is the first of... | |
| |
As the sine of half the sum of the two sides is to the sine of half their difference so is the cotangent of half their contained angle to the tangent of half the difference of the other angles ; and again, 2. 