 | Colin Macfarquhar, George Gleig - Encyclopedias and dictionaries - 1797
...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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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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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... 