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Books Books 1 - 10 of 20 on To find a side, work the following proportion: as the sine of the angle opposite....  
" To find a side, work the following proportion: 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. "
An Elementary Treatise on Plane & Spherical Trigonometry: With Their ... - Page 41
by Benjamin Peirce - 1861 - 358 pages
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Geometrical and Graphical Essays: Containing a General Description of the ...

George Adams - Mathematical instruments - 1813 - 534 pages
...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 opposite the given angle, is to the side opposite the...
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A treatise on surveying: containing the theory and practice : to which is ...

John Gummere - Plane trigonometry - 1817 - 206 pages
...triangle being given, to find the othet'sides. 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.* DIMOHSTATIOS. Let ABC, Fig. 40, be any plane triangle, take...
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An Elementary Treatise on Plane & Spherical Trigonometry: With Their ...

Benjamin Peirce - Trigonometry - 1845 - 449 pages
...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 (fig. 1) were the given and b the required side, we should...
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A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - History - 1845
...and a side. RULE I. The side opposite the given angle, Is to the side 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...
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Elements of geometry, theoretical and practical: containing a full ...

George Clinton Whitlock - Mathematics - 1848 - 324 pages
...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 example under this case, let it be required to find the...
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An elementary course of practical mathematics

James Elliot - 1851
...one Side, to find either of the other Sides. RULE. As the sine of the angle opposite the given side to the sine of the angle opposite the required side, so is the given side to the required side. FORMULA. Sin A : sin C : : a : c. a being the given side, and A its...
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - Mathematics - 1852
...the proportion thus : the side opposite the given angle is to the side opposite the required angle as the sine of the given angle is to the sine of the required angle. Thus, with the present data, we have a: b = sin A : sin B whence sin 5 = (249)...
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A practical treatise on mining, land and railway surveying, engineering, &c

Henry Davis Hoskold - 1863
...given angle ; that is,, the side opposite the given angle is to the side opposite to the required angle as the sine of the given angle is to the sine of the required angle. PROBLEM 16. Given two sides of an oblique-angled triangle and the containing angle,...
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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - Surveying - 1865 - 428 pages
...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 side opposite the given angle is to the other given side,...
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The Cambridge course of elementary physics: Astronomy, Part 3

William James Rolfe, Joseph Anthony Gillet - Science - 1868 - 308 pages
...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 triangle ABC, Figure 2, given the side a, and the angles...
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