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" If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice the area of the triangle. If PC... "
A Treatise on Surveying, Containing the Theory and Practice: To which is ... - Page 96
by John Gummere - 1814 - 346 pages
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Elements of Geometry, Theoretical and Practical: Containing a Full ...

George Clinton Whitlock - Mathematics - 1848 - 324 pages
...: CASE. I. The angles and one side of a triangle being given, to find the remaining parts. Rule. As the sine of the angle opposite the given side, Is to the sine of the angle opposite the required side ; So is the given side To the required side. 1. As an...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 153 pages
...the triangle? Ans. 1014 square feet. 9. b. If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the square of the given side, To twice...
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - Surveying - 1851 - 718 pages
...TRIGONOMETRY. CASE 1st. Having the angles and one side, to find either of the other sides. RULE. As the sine of the angle opposite the given side, is to the given side, so is, the sine of the angle opposite the required side, to the required side. In the triangle...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851
...triangle ? Ans. 1014 square feet. 9. 6. If one side and the angles are given ; then As the product of radius and the sine of the angle opposite the given side, To the product of the sines of the two other angles ; So is the s/mare of the given side, To twice...
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - 1852
...180 - (A + B) To find b and c. We apply the theorem of Art. 117, and state the proportions thus : the sine of the angle opposite the given side is to the sine of the angle opposite the required side, as the given side is to the required side. Thus we have...
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A Practical Treatise on the Science of Land and Engineering Surveying ...

Henry S. Merrett - Surveying - 1863 - 317 pages
...angles of a triangle and a side opposite to one of them are given to find the other side : Rule. As the sine of the angle opposite the given side is to the given side, so is the sine of the angle opposite the required side to the required side. When two sides...
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A practical treatise on ... land and engineering surveying, Volume 34

Henry S. Merrett - 1863
...angles of a triangle and a side opposite to one of them are given to find the other side : Rule. As the sine of the angle opposite the given side is to the given side, so is the sine of the angle opposite the required side to the required side. When two sides...
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A practical treatise on mining, land and railway surveying ..., Volume 35

Henry Davis Hoskold - 1863
...the opposite angles. Rule. — To find a side, begin with the angle opposite the given side; that is, the sine of the angle opposite the given side is to the sine of the angle opposite the required side as the given side is to the required side. And when two...
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - Surveying - 1865 - 428 pages
...side, or two sides and an angle opposite to one of them, being given, to find the rest. RULE. 1. As the sine of the angle opposite the given side is to the sine of the angle opposite the required side, so is the given side to the required side. 2. As the...
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The Cambridge Course of Elementary Physics: Astronomy. Part third, Part 3

William James Rolfe, Joseph Anthony Gillet - Astronomy - 1868 - 308 pages
...the sum of the given angles from 180. To find the other sides, form a proportion as follows : As the sine of the angle opposite the given side is to the sine of the angle opposite the required side, so is the given side to the required side. Thus in the...
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