| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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