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" Б) arc of the same species. 180. In the solution of oblique-angled spherical triangles, there are six cases, the data in them being, respectively, I. Two sides and an angle opposite one of them. II. Two angles and a side opposite one of them. III. Two... "
An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ... - Page 93
by Dionysius Lardner - 1828 - 317 pages
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Elements of Plane and Spherical Trigonometry ...

James Thomson - Geometry, Analytic - 1844 - 146 pages
...preceding section. This important problem presents the six following cases : I. When there are given the three sides. II. The three angles. III. Two sides and the contained angle. IV. A side and the adjacent angles. V. Two sides and an angle opposite to one of them....
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A Treatise on Plane and Spherical Trigonometry, and on Trigonometrical ...

John Hymers - Logarithms - 1858 - 324 pages
...data in them being as follows : I. three sides ; II. two sides and an angle opposite to one of them ; III. two sides and the included angle ; IV. two angles and the side opposite to one of them; V. two angles and the side adjacent to them both ; VI. three angles....
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...respectively, I. Two sides and an angle opposite one of them. II. Two angles and a side opposite one of them. III. Two sides and the included angle. IV. Two angles and the included side. V. The three sides. VI. The three angles. CASE I. 181. Given two sides and an angle opposite one of them....
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...respectively, I. Two sides and an angle opposite one of them. II. Two angles and a side opposite one of them. III. Two sides and the included angle. IV. Two angles and the included side. V. The three sides. VI. The three angles. CASE I. 181. Given two sides and an angle opposite one of them....
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...respectively, I. Two sides and an angle opposite one of them. II. Two angles and a side opposite one of them. III. Two sides and the included angle. IV. Two angles and the included side. V. The three sides. VI. The three angles. CASE I. 181. Given two sides and an angle opposite one of them....
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...respectively, I. Two sides and an angle opposite one of them. II. Two angles and a side opposite one of them. III. Two sides and the included angle. IV. Two angles and the included side. V. The three sides. VL The three angles. CASE I. 181. Given two sides and an angle opposite one of them,...
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Plane and Spherical Trigonometry

Arthur Graham Hall, Fred Goodrich Frink - Trigonometry - 1910 - 204 pages
...formulas just derived. Six cases present themselves, according as there are given : I. Three sides ; II. Three angles ; III. Two sides and the included angle...included side ; V. Two sides and the angle opposite one ; VI. Two angles and the side opposite one. In the first four cases the problem is determinate ; but...
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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...three are given the remaining three can be found. The three given parts may be: I. The three sides. H. The three angles. III. Two sides and the included...VI. Two angles and the side opposite one of them. There are six cases of spherical triangles while there are only three cases of plane triangles. This...
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