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" Fink not only discovered the law of tangents, but pointed out its principal application; namely, to aid in solving a triangle when two sides and the included angle are given. "
Logarithmic and Trigonometric Tables - Page 101
edited by - 1914 - 97 pages
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A Treatise on Algebra: Symbolical algebra and its applications to the ...

George Peacock - Algebra - 1845 - 480 pages
...— - — , ft Bin' 0. cot^ = — — - . a sin C This is a very convenient and expeditious method of solving a triangle when two sides and the included angle are given : see Prof. Wallace.s Geometrical Theorems and Analytical Formula:, &c. Edinburgh, 1839. p. 42. becomes...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1856 - 460 pages
...tan. i(A — B) ; which proportions are known as Napier* s first and second Analogies. They are used in solving a triangle when two sides and the included angle are given. §61. To express the tangent of the sum and difference of two sides of a spherical triangle, in terms...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 474 pages
...tan. £(A — B); which proportions are known as Napier's first and second Analogies. They are used in solving a triangle when two sides and the included angle are given. § 6 1 . To express the tangent of the sum and difference of two sides of a spherical triangle, in...
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An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - Physics - 1870 - 556 pages
...resultant may be found both in direction and magnitude by trigonometry. The theorem required is that for solving a triangle, when two sides and the included angle are given ; but the included angle is not that between the components, but its supplement (Art. 40). In Fig....
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An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - Physics - 1871 - 466 pages
...resultant may be found both in direction and magnitude by trigonometry. The theorem required is that for solving a triangle, when two sides and the included angle are given; but the included angle is not that between the components, but its supplement (Art. 40). In Fig. 15,...
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Annual Statement, Volumes 11-20

1876 - 646 pages
...AB=246.32, AC = 380.07, to find the angles B and C and the hypothenuse BC. 8. Explain the method of solving a triangle when two sides and the included angle are given. TRIGONOMETRY. SEPTEMBER, 1879.' [State what text-book you have studied and to what extent.] 1. The...
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Elementary Trigonometry

John Maximilian Dyer - Plane trigonometry - 1891 - 306 pages
...distance to the nearest milestone. • 8. Write down formulas adapted to the use of logarithms for solving a triangle when two sides and the included angle are given. Solve the triangle in which a = 242-5, b = 164-3, С = 54° 36'. II.— DECEMBER, 1890. 1. Prove that...
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An Elementary Treatise on Plane Trigonometry

Ernest William Hobson, Charles Minshall Jessop - Plane trigonometry - 1892 - 328 pages
...1 ,-3,1 ,0 s2 - COS2 - + т COS2 — + - COS2 -j; = .¿' . а 26 2c 2 a6с 6. Find the formula for solving a triangle when two sides and the included angle are given. Show how the triangle may be solved if the difference of two angles and the sides opposite to them...
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Plane Trigonometry and Applications

Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...years earlier by the Dutch mathematician THOMAS FINK or FINCHIUS (1561-1656) in his Geometria rotundl. It was also Fink who first introduced the names tangent...(Equation (1)) gives (3) tan \(A - B) = ^^ tan ±(A + JB), a+b an equation in which the right member is completely known, since a, b, and C are given,...
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Principles and Applications of Mathematics for Communications-electronics

Electrical engineering - 1992 - 270 pages
...34' 48" Therefore, ¿A = 24° 37' 8" ¿В = 41° 48' 4" ¿С = 113° 34' 48" 170. Finding the Area of a Triangle When Two Sides and the Included Angle Are Given The formula for finding the area of a triangle when two sides and the included angle are given is S = J...
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