 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.  Plane Trigonometry - Page 125by Levi Leonard Conant - 1909 - 183 pagesFull view - About this book
 | George Albert Wentworth - Trigonometry - 1882 - 160 pages
...Therefore, By merely changing the letters, a — c_i&n\(A — C} b — c^ï& ~ Hence the Law of Tangents : The difference of two sides of a triangle is to their...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
...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 triangle is to their...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...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
...( 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 triangle is to their...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 formula... | |
 | George Albert Wentworth - Surveying - 1889 - 360 pages
...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 triangle is to their...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
...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,... | |
 | 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 - Navigation - 1895 - 436 pages
...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 - Trigonometry - 1896 - 344 pages
...changing the letters, <t — с _ tau ^ (A — C) b — c_t!m^(B—C) ~' ~ Hence the Law of Tangents : The difference of two sides of a triangle is to their...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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