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III., when two sides and an angle opposite to one of them are given...
A Treatise on Spherical Astronomy - Pągina 4
per Sir Robert Stawell Ball - 1908 - 506 pągines
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## A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 419 pągines
...Given <J The side B c 1 14° 30' Ans.< ^ A 48° 30' (.The ^ c - 125° 20' t ^ B 62° 54' CASE II. When two angles and a side opposite to one of them are given, to find the rest. 1. Tofind the other opposite side. As sin ^ opp, given side : sin that side : : sin...
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## An Introduction to the Theory and Practice of Plane and Spherical ...

Thomas Keith - 1810 - 420 pągines
...angles, when two sides and an angle opposite to one of them are given. The IJd. Finds a side, when two angles and a side opposite to one of them are given. The Hid. Finds the angles, from the three sides being given. The IVth. Finds the third side, when two...
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## A treatise on navigation, and nautical astronomy

Edward Riddle - 1824
...for the solution of the different cases. 1. When two sides and an angle opposite to one of them, or two angles and a side opposite to one of them, are given. As any side of a triangle is to the sine of its opposite angle, so is any other side of the triangle...
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## An Introduction to the Theory and Practice of Plain and Spherical ...

Thomas Keith - 1826 - 442 pągines
...a=5, or atZ>=180, the cases will not be ambiguous, but if 0=90°, there will be two solutions. When two angles, and a side opposite to one of them, are given, to find the rest (see Case ivth, vth, and vith), the values of the required parts are subject to ambiguity;...
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## The elements of plane trigonometry, Volum 1

John Charles Snowball - 1837
...equations we can determine ф and c. 56. In Article 52, the triangle has been apparently solved when two angles and a side opposite to one of them are given ; and in Art. 54, the triangle has been apparently solved from two sides and the angle opposite to...
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## Mathematical Treatise: Containing I. The Theory of Analytical Functions, II ...

John West, Sir John Leslie - 1838 - 574 pągines
...257 or 258. The other three cases, when two angles and the in. eluded side, — the three angles, — two angles and a side opposite to one of them, are given, may be solved by the corresponding theorems ; but it seems better to reduce them, by means of the reciprocal...
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## An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839
...the angles, when two sides and an angle opposite to one of them are given. The Hd. Finds a side, when two angles and a side opposite to one of them are given. The Hid. Finds the angles, from the three sides being given. The IVth. Finds the third side, when two...
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## A Treatise of Practical Mathematics, Part 2

Andrew Bell - 1842
...other parts. Ans. B = 42° 15' 13"-66, C = 34° 15' 2"-76, and c = 40° 0' 10". 359. Case VI. — "When two angles and a side opposite to one of them are given. The side opposite to the other given angle will be found by the theorem in 358. Thus, if A, B, a, are...
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## The Elements of Plane and Spherical Trigonometry: With the Construction and ...

John Charles Snowball - 1880
...and (c - Ф') will be the segments of AB. 54. In (50) the triangle has apparently been solved when two angles and a side opposite to one of them are given ; and in . (52) the triangle has apparently been solved from two sides and the angle opposite to one...
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## Plane and Spherical Trigonometry

George Albert Wentworth - 1882 - 201 pągines
...93 ; Case III., when two sides and an angle opposite to one of them are given, 95 ; Case IV., when two angles and a side opposite to one of them are given, 97; Case V., when the three sides are given, 98 ; Case VI., when the three angles are given, 99 ; area...
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