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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. NOTE. "
Mathematics for the Coast Artillery Officer - Σελίδα 23
των Coast Artillery School (U.S.) - 1943
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Plane and Spherical Trigonometry

George Albert Wentworth - 1882 - 160 σελίδες
...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...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...

Plane and Spherical Trigonometry: G. A. Wentworth ...

George Albert Wentworth - 1884 - 330 σελίδες
...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,...

Plane Trigonometry

George Albert Wentworth - 1887 - 206 σελίδες
...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...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...

Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth - 1887 - 346 σελίδες
...— 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...

Plane and Spherical Trigonometry: By G.A. Wentworth

George Albert Wentworth - 1888 - 186 σελίδες
...( 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...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...

Plane and Spherical Trigonometry

George Albert Wentworth - 1889 - 360 σελίδες
...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,...

Plane and Spherical Trigonometry

George Albert Wentworth - 1891 - 286 σελίδες
...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,...

Trigonometry, Surveying and Navigation

George Albert Wentworth - 1895 - 436 σελίδες
...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....

Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - 1895 - 422 σελίδες
...(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...

Plane Trigonometry and Tables

George Albert Wentworth - 1896 - 272 σελίδες
...— 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 triangle is to their...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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