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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. "
A Treatise on Algebra: Symbolical algebra and its applications to the ... - Seite 262
von George Peacock - 1845
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 460 Seiten
...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 - 1860 - 472 Seiten
...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 - 1870 - 556 Seiten
...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 - 1871 - 466 Seiten
...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, Bände 11-20

1876 - 646 Seiten
...given, A=90°, 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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Treatise on Trigonometry ...

William Ernest Johnson - 1889 - 574 Seiten
...= 4-31 52985 log(sc) = 3-9611837 (adding) = 9-0666546 (adding) = 8-3860164 8-3860164 283. To solve a triangle when two sides and the included angle are given. [See Arts. 167, 168.J I. To find a, we have a? = W + с2 - 26c cos A. This is not well adapted to logarithmic...
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Elementary Trigonometry

John Maximilian Dyer - 1891 - 306 Seiten
...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 - 1892 - 328 Seiten
...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 - 1914 - 296 Seiten
...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. The possibility of such an application will appear from the following Illustrative Example. Given a,...
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Logarithmic and Trigonometric Tables

Herbert Ellsworth Slaught - 1914 - 296 Seiten
...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. The possibility of such an application will appear from the following Illustrative Example. Given a,...
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