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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 ... - Σελίδα 262
των George Peacock - 1845
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1856 - 460 σελίδες
...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...

Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 472 σελίδες
...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...

An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - 1870 - 556 σελίδες
...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....

An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - 1871 - 466 σελίδες
...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,...

Annual Statement, Τόμοι 11-20

1876 - 646 σελίδες
...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...

Treatise on Trigonometry ...

William Ernest Johnson - 1889 - 574 σελίδες
...= 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...

Elementary Trigonometry

John Maximilian Dyer - 1891 - 306 σελίδες
...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...

An Elementary Treatise on Plane Trigonometry

Ernest William Hobson, Charles Minshall Jessop - 1892 - 328 σελίδες
...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...

Plane Trigonometry and Applications

Ernest Julius Wilczynski - 1914 - 296 σελίδες
...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,...

Logarithmic and Trigonometric Tables

Herbert Ellsworth Slaught - 1914 - 296 σελίδες
...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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