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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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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 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...1. Given the angle A (Fig. 30.) 26° 14', the side S 78, and the side c 106 ; to find B, C, and a. "Draw the side c 106, at A make an angle of 20° 14',...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...Two sides and an opposite angle being given, to find the remaining side, and the other two artgles. 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 Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 418 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...Draw one of the given sides. From one end of it lay oft' the given angle, and draw the other given side. Then connect the extremities of this and the first...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying ...

Jeremiah Day - Measurement - 1831 - 394 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...side and angles. Draw one of the given sides. From orae end of it lay off the given angle, and draw the other given side. Then connect the extremities...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 520 pages
...PROB. II. Two aides 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 Treatise on Surveying: Containing the Theory and Practice ; to which is ...

John Gummere - Logarithms - 1833 - 380 pages
...side BC 69 ; required the angles and other side. 4ns.C=62° 37', A=27° 23', and AB 133.2. CASE 3. Two sides and the included angle being given, to find the other angles and side. RULE. Subtract the given angle from 180°, and the remainder will be the sum of the...
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Elements of Plane Trigonometry

William Smyth - Plane trigonometry - 1834 - 94 pages
...find the angles. Ex. 2. Given the three sides 53.5,82.08, and 46.7 ; to find the angles. 14. PROB. 2. Two sides and the included angle being given, to find the other side and angles. Ex. 1. In the triangle ABC (fig. 11), given the side AB 60 rods, the side BC 100 rods, and the angle...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 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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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - Trigonometry - 1838 - 328 pages
...rectangle of the adjacent sides. This applied to each angle separately will determine all three. CASE IV. Two sides and the included angle being given to find the other parts. Let A be the given angle and b and c the given sides, then b + c : b — c : : tan \ (B + c)...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...PROS. 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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