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" III. Two sides and the included angle being given ; to find the other side and angles. Draw one of the given sides. From one end of it lay off the given angle, and draw the other given side. Then connect the extremities of this and the first line. Ex.... "
The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ... - Page 89
by Jeremiah Day - 1824
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Plane and Spherical Trigonometry ...

Henry W. Jeans - Trigonometry - 1842 - 138 pages
...than 90°, this, rule is considered ambiguous. See corresponding rule for plane triangles. 58 XIII. Two sides and the included angle being given to find the other two angles. Take the sum and difference of the two given •ides, and the half sum and half difference,...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 354 pages
...the angle A 116°, the opposite side a 38, and the side b 20 ; to construct the triangle. 171. PROB. III. Two sides and the included angle being given...this and the first line. Ex. 1. Given the angle A 26° 14', the side b 78, and the side c 106 ; to find B, C, and a. The side a will be 50, the angle...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...PROB. II. Two sides and an opposite angle being given, to find the remaining side, and the other two angles. Draw one of the given sides ; from one end of it, lay off the given angle ; and extend a line indefinitely for the required side. From the other end of the first side, with the remaining...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Mathematics - 1853 - 288 pages
...the angle A 116°, the opposite side a 38, and the side b 26 ; to construct the triangle. 171. PROB. III. Two sides- and the included angle being given ; to find the other sido and angles. Draw one of the given sides. From one end of it lay off the given angle, and draw...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1855 - 344 pages
...the angle A 116°, the opposite side a 38, and the side 6 26 ; to construct the triangle, 171. PROB. III. Two sides, and the included angle being given...this and the first' line, Ex, 1. Given the angle A 26° 14', the side b 78, and the side c 106 ; to find B, C,. and a. The side a will be 50, the angle...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 192 pages
...Ex. 2. Given the angle A, 105°, the side BC, 498, and the side AC, 375, to construct the triangle. Draw one of the given sides. From one end of it lay...off the given angle, and draw the other given side, making the required angle with the first side. Then connect the extremities of the two sides, and there...
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Plane and spherical trigonometry. [With] Solutions of problems

Henry William Jeans - 1858 - 106 pages
...90°, this rule is considered ambiguous. See corresponding rule for plane triangles (p. 44). RULE XT. Two sides and the included angle being given, to find the other two angles. Take the sum and difference of the two given sides, and the half sum and half difference,...
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Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten ...

Elias Loomis - Logarithms - 1859 - 372 pages
...Ex. 2. Given the angle A, 1Q5°, the side BC, 498, and the side AC, 375, to construct the triangle. Draw one of the given sides. From one end of it lay...off the given angle, and draw the other given side, making the required angle with the first side. Then connect the extremities of the two sides, and there...
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - Plane trigonometry - 1865 - 166 pages
...clear the other end of the reef, if she can lay within 6 points of the wind ? Ans. 7-07 miles. BULE III. Two sides and the included angle being given, to find the other two angles, and the remaining side. Example. Given a = 70, b = 64, and angle С = 66° 20' 30"; to...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Geometry - 1871 - 302 pages
...the side BC, 498, and the side AC, 375, to construct the triangle. Draw one of tho given sides. Front one end of it lay off the given angle, and draw the other given side, making the required angle with the first side. Then connect the extremities of the two sides, and there...
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