 | Francis Nichols - Plane trigonometry - 1811 - 128 pages
...tangent of half the difference of the other two sides: also, the cosine of half the sum of any two angles is to the cosine of half their difference, as the tangent of half the included side is to the tangent of half the sum of the other two sides. Fig. page 80. Let the angles... | |
 | Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...half the difference of t,he sides opposite to them; and the cosine of half the sum of the same angles is to the cosine of half their difference, as the tangent of half the side adjacent to them, to the tangent of half the suai of the sides opposite. LetC+B=2S, CB=2D, the base... | |
 | Benjamin Peirce - Spherical trigonometry - 1836 - 92 pages
...(M-\-N) : cos. (M — N) : : y — x : y+x; which may be written as in (744). 60. Theorem. The sine of half the sum of two angles of a spherical triangle is to the sine of half their difference, as the tangent of half the side to (749) which they are both adjacent... | |
 | Charles William Hackley - Trigonometry - 1838 - 328 pages
...: : tan \ c : tan ^ (a — 6) The last one may be translated into ordinary language thus: The sine of half the sum of two angles of a spherical triangle is to the sine of half their difference as tfc.e tangent of half the interjacent side is to the tangent of half... | |
 | Charles William Hackley - Trigonometry - 1838 - 336 pages
...(a — 6) : : cot \ c : tan \ (A — B) . . . (9) That is, the cosine of half the sum of two sides of a spherical triangle is to the cosine of half their difference, as the cotangent of half the included angle is to the tangent of half the sum of the other two angles. The... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...half the difference of the sides opposite to them; and the cosine of half the sum of the same angles is to the cosine of half their difference, as the tangent of half the side adjacent to them, to the tangent of half the sum of the sides opposite. LetC+B=2S, C— B=2D, the base... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 498 pages
...TV) : cos. (M — TV) z= y — x : y -f- ж ; which may be written as in (349). 79. Theorem. The sine of half the sum of two angles of a spherical triangle is to the sine of half their difference, as the tangent of half the side to which Napier's Analogies. they are... | |
 | Benjamin Peirce - Plane trigonometry - 1845 - 449 pages
...-{- N) : cos. (M — N) = y — x : y -\-x ; which may be written as in (349). 79. Theorem. The sine of half the sum of two angles of a spherical triangle is to the sine of half their difference, as the tangent of half the side to which Napier's Analogies. they are... | |
 | John Playfair - Euclid's Elements - 1846 - 332 pages
...half the difference of the sides opposite to them ; and the cosine of half the sum of the same angles is to the cosine of half their difference, as the tangent of half the side adjacent to them, to the tangent of half the sum of the sides opposite. 260 the segments of the base,... | |
 | Charles William Hackley - Trigonometry - 1851 - 538 pages
...difference of the other two angles. The third may be translated into ordinary language thus : The sine of half the sum of two angles of a spherical triangle is to the •ine of half their difference as the tangent of half the interjacent side is to the tangent of half... | |
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The cosine of half the sum of two angles of a spherical triangle is to the cosine of half their difference as the tangent of half the included side is to the tangent of half the sum of the other two sides. 
