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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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Geometrical and Graphical Essays: Containing a General Description of the ...

George Adams - Geometry - 1813 - 534 pages
...sides and an angle opposite to one of them is given, to find another angle; use the following 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. As the side...
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A Compendious System of Practical Surveying, and Dividing of Land: Concisely ...

Surveying - 1814 - 227 pages
...contrary. When the angles, and one side are given, to find the other sides, or either of them. RULE 1. As the sine of the angle opposite the given side, Is to the given side; So is the sine of the angle opposite the side required. To the side required. • When...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824
...what is the area of the triangle ? 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 square of the given side, To twice...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 370 pages
...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 Treatise of Plane Trigonometry: To which is Prefixed a Summary View of the ...

Jeremiah Day - Logarithms - 1831 - 155 pages
...triangle ? Ans. 1014 square feet. C 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 Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838
...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 square of the given side, To twice...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1839 - 370 pages
...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 system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845
...opposite the required angle, As the sine of the given angle Is to the sine of the required angle. RULE II. 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. EXAMPLE. In...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - Plane trigonometry - 1845 - 449 pages
...To find either of the other sides, we have only to make use of a proportion, derived from 72. 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, if a...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - Plane trigonometry - 1845 - 449 pages
...To find either of the other sides, we have only to make use of a proportion, derived from 72. 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, if a...
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