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" Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of half their sum. "
A Text-book on Advanced Algebra and Trigonometry, with Tables - Page 139
by William Charles Brenke - 1910 - 343 pages
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1882 - 232 pages
...(7), b + c~ tan Ъ (Б + 0) , Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference...opposite angles is to the tangent of half their sum. NOTE. If in [27] b > a, then B > A. The formula is still true, but to avoid negative quantities, the...
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Plane and Spherical Trigonometry: G. A. Wentworth ...

George Albert Wentworth - Trigonometry - 1884 - 330 pages
...C) b -c^tanK-g- C) ' b + c tan Hence the Law of Tangents : The difference of (wo sides of a triangU is to their sum as the tangent of half the difference of the opposite angks is to the tanffent of half their sum. NOTE. If in [27] b>a, then B>A. The formula is still trne,...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth - 1887 - 346 pages
...c t&ni(A + C) b + c tani(5+C) Hence the Law of Tangents : Thc difference of two sides of a triangle is to their sum as the tangent of half the difference...opposite angles is to the tangent of half their sum. NOTE. If in [27] b>a, then B> A. The formula is still true, but to avoid negative quantities, the formula...
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Plane Trigonometry

George Albert Wentworth - 1887 - 206 pages
...tani(4+C)' b + c tan i (.B + C) ' Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference...opposite angles is to the tangent of half their sum. NOTE. If in [27] 6>a, then B>A. The formula is still true, but to avoid negative quantities, the formula...
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Plane and Spherical Trigonometry: By G.A. Wentworth

George Albert Wentworth - Trigonometry - 1888 - 186 pages
...taiib(A+C) Ь + c~ tan 1 (B+ C)' Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference...opposite angles is to the tangent of half their sum. NOTE. If in [27] 6 > a, then В > A. The formula is still true, but to avoid negative quantities, the...
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Plane and Spherical Trigonometry

George Albert Wentworth - Surveying - 1889 - 360 pages
...letters, a + c tAnb(A+C) b + c ta Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference of the opposite angles is to the tangent of hay thsir sum. N0TE. If in [27] 6>a, then B>A. The formula is still true, but to avoid negative quantities,...
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Plane and Spherical Trigonometry

George Albert Wentworth - Surveying - 1891 - 286 pages
...с tan i (5 + C) Hence the Law of Tangents : The difference of two sides of a triangle is to thsir sum as the tangent of half the difference of the opposite angles is to the tangent of half thsir sum. N0TE. If in [27] 6 > a, then В > A, The formula is still true, but to avoid negative quantities,...
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Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - Surveying - 1895 - 422 pages
...(A + C) b + c~ tan£(7? + C)' Hence the Law of Tangents : The difference of two sides of a triumjle is to their sum as the tangent of half the difference of the olqtosite angles is to the tangent of half their г ч 1n. NOTE. If in [27] b>a, U1enB>Л. The formula...
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Plane Trigonometry and Tables

George Albert Wentworth - Plane trigonometry - 1896 - 272 pages
...taai(¿+(7)' ¿, + c~tani(5+ C) Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference...opposite angles is to the tangent of half their sum. NOTE. If in [27]6>а, ШeпВ>Л. The formula is still true, but to avoid negative numbers, the formula...
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Plane Trigonometry, Surveying and Tables

George Albert Wentworth - Trigonometry - 1896 - 344 pages
...— C) b — c_t!m^(B—C) ~' ~ Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as the tangent of half the difference...opposite angles is to the tangent of half their sum. NOTE. If in [27] 6 > a, then B > A . The formula is still true, but to avoid negative quantities, the...
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