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" 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. "
A System of the Mathematics: Containing the Euclidean Geometry, Plane ... - Página 133
por James Hodgson - 1723
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The Doctrine of Plain and Spherical Trigonometry: With Its Application and ...

William Hawney - 1725 - 504 páginas
...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...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volumen2

1801 - 658 páginas
...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"...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - 1811 - 162 páginas
...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...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 136 páginas
...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...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 140 páginas
...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...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 páginas
...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...
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