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As the sum of the sines of two unequal arches is to their difference, so is the tangent of half the sum of those arches to the tangent of half their difference : and as the sum...
Trigonometry, Plane and Spherical: With the Construction and Application of ... - Page 28
by Thomas Simpson - 1748 - 77 pages
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## Encyclopędia Britannica: Or, A Dictionary of Arts ..., Volume 18, Part 2

...difference : and as the fum of the cpifines'ia to their difference, fo is the co-tangent of half the fum of the arches to the tangent of half the difference of the fame arches. THEOREM V. In any fpherical triangle ABC (fig. 9 and •< 10.) it will be, As the co-tangent of half...
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## The Accomplished Tutor; Or, Complete System of Liberal Education ..., Volume 2

Thomas Hodson - Arithmetic - 1806 - 488 pages
...difference; and, As the fum of the cofines is to their ditference, fo is the cotangent of half the fum of the arches to the tangent of half the difference of the feme arches, Theorem V. In any fpherical triangles ABC (fig. la and i3), the proportion is, As the...
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## The British encyclopedia, or, Dictionary of arts and sciences, Volume 6

William Nicholson - 1809 - 720 pages
...difference : and it the sum of tbcir co-siuc-s is to their difference, so is the co-tangent of half the sum of the arches to the tangent of half the difference of the same arches. In any spherical triangle A li С (fig. 27), it will be, as the cotangent of half the...
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## British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 12

William Nicholson - Natural history - 1821 - 356 pages
...difference : and as the sum of their co-sines a to their difference, so is the co-tangent of half the sum of the arches to the tangent of half the difference of the same arches. In any spherical triangle, ABC (fig. 27,) it will be, as the co-tangent of half the sum...
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## American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 12

William Nicholson - Natural history - 1821 - 356 pages
...difference : and as the sum of their co-sines is to their difference, so is the co-tangent of half the sum of the arches to the tangent of half the difference of the same arches. In any spherical triangle, ABC (fig. 27,) it will be, as the co-tangent of half the sum...
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