 | James Hodgson - Astronomy - 1723 - 724 pages
...every Oblique-angled Spherical Triangle it will be, . As the Sine of half the Sum of any two Sides, Is to the Sine of half their Difference ; So is the Co-tangent of half the contained Angle, To the Tangent of half the Difierence of the'oppofite Angles. > And again, As... | |
 | 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 of half the contained Angle, To the Tangent of half the Difference of the other Angles. Again : As the Co-fine... | |
 | Richard Lovett - Compasses (Mathematical instruments) - 1766 - 610 pages
...half the Sum of two Sides, to the fine of half their difference ; fo is the Co-tangent of half the contained Angle, to the Tangent of half the difference of the other Angles. Again, A? the Co-fine of half the fum of the fides, to the Co-fine of half their difference -, fo is... | |
 | Mathematics - 1801 - 658 pages
...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...tangent of half the difference of the other angles, I NOTE. NOTE. It" the sum of the twjj sitfes exceed a semicircle, -subtract each from 180°, and proceed... | |
 | Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...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... | |
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As the cosine of half the sum of the two sides is to the cosine of half their difference, so is the cotangent of half the contained angle to the tangent of half the sum of the other two angles. 