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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. "
The Doctrine of Plain and Spherical Trigonometry: With Its Application and ... - Pàgina 124
per William Hawney - 1725 - 479 pàgines
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A System of the Mathematics: Containing the Euclidean Geometry ..., Volum 2

James Hodgson - 1723 - 724 pàgines
...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...half the contained Angle, To the Tangent of half the Difierence of the'oppofite Angles. > And again, As the Co-fine of half the Sura of the two Sides, To...
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Philosophical essays

Richard Lovett - 1766 - 610 pàgines
...which folves that Problem without a perpendicular, by the following projportion, > • • % P pp 2 As As the Sine of 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...
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volum 2

1801 - 658 pàgines
...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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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 140 pàgines
...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 pàgines
...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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