 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. NOTE.  Elementary Mathematical Analysis - Page 209by John Wesley Young, Frank Millett Morgan - 1917 - 548 pagesFull view - About this book
 | George Albert Wentworth - Trigonometry - 1882 - 234 pages
...a — c = ts.n$(A — C) b — c^ts.n$(B— C) a + c tani(^4 + (7)' 6 + e~tani(,B+ (7) ' Hence the Law of Tangents : The difference of two sides of a...opposite angles is to the tangent of half their sum. NOTE. If in [27] 6>,z, then B>A. The formula is still true, but to avoid negative quantities, the formula... | |
 | 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,... | |
 | George Albert Wentworth - 1887 - 206 pages
...changing the letters, ac—tanl(AC) b -c_tanK-g- CT) a + c tani(4+C)' b + c tan i (.B + C) ' Hence the Law of Tangents : The difference of two sides of a...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... | |
 | George Albert Wentworth - 1887 - 346 pages
...— G) b — c = t&n\(B— i?) ' a + 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...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... | |
 | George Albert Wentworth - Trigonometry - 1888 - 186 pages
...letters, a — с = tan j ( A — C) b - c = tan \(B—C) a + c taiib(A+C) Ь + c~ tan 1 (B+ C)' Hence the Law of Tangents : The difference of two sides of a...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... | |
 | George Albert Wentworth - Surveying - 1889 - 360 pages
...Therefore, a-b_tani(AB) a + b tani(A + B) By merely changing the letters, a + c tAnb(A+C) b + c ta Hence the Law of Tangents : The difference of two sides of a...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,... | |
 | George Albert Wentworth - Surveying - 1891 - 286 pages
...TRIANGLE. 53 By merely changing the letters, t a + с tan i (j4 + <?) о + 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... | |
 | George Albert Wentworth - Navigation - 1895 - 436 pages
...merely changing the letters, a — с _ tan i (A — C) b — c _ tan£(.В— C) ~-' ~ ' Hence the Law of Tangents : The difference of two sides of a triangle is to their sum as i/ie langent of half the difference of the opposite angles is io the langent of half their sum. NOTE.... | |
 | 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... | |
 | George Albert Wentworth - Plane trigonometry - 1896 - 272 pages
...— с _ tan ^ (A — C) b — о _ tan £ (B — C) afe taai(¿+(7)' ¿, + c~tani(5+ C) Hence the Law of Tangents : The difference of two sides of a...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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