 | John Bonnycastle - Trigonometry - 1806 - 464 pages
...greatest segment will lie next the greatest side, and the least segment next the least side. n As any side is to the sine of its opposite angle, so is any other side to the sine of its opposite angle. Or, As the sine of any angle is to its opposite side, so is... | |
 | Charles Hutton - Mathematics - 1807 - 464 pages
...same proportion to each other, as the sines of their opposite angles have., . r That is, As any one side, Is to the sine of its opposite angle ; \ So is any other side, ' \ '• •> •'<• • To the sine of its opposite angle. Demetistr. For, let ABC be the... | |
 | Charles Hutton - Mathematics - 1811 - 494 pages
...the same proportion to each other, as the sines of their opposite angles have. That is, As any one side, Is to the sine of its opposite angle ; So is any other side, To the sine of its opposite angle. Dfmonttr. Dem/mstr. For, let ABC be the proposed triangle,... | |
 | Nautical astronomy - 1821 - 708 pages
...either of the other angles to the side opposite thereto. But if we wish to find an angle, we must say, as any given side is to the sine of its opposite angle, so is either of the other sides to the sine of its opposite angle. THEOREM III. In every plane triangle,... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...one of them, or two angles and a side opposite to one of them, are given. As any side of a triangle is to the sine of its opposite angle, so is any other side of the triangle to the sine of its opposite angle ; and as the sine of any angle of a triangle... | |
 | Nathaniel Bowditch - Nautical astronomy - 1826 - 732 pages
...either of the other angles to the side opposite thereto. But if we w ish to find an angle, we must say, as a'ny given side is to the sine of its opposite angle, so is either of the other sides to the sine of its opposite angle. THEOREM HI. . In every plane triangle,... | |
 | Perry Fairfax Nursey - Industrial arts - 1830 - 512 pages
...generally. Case 1. When a side and its opposite angle are two of the given parts. Then, as any one side, is to the sine of its opposite angle ; so is any other side, to the sine of its opposite angle. The first term of the proportion must ne the sine of a given... | |
 | Industrial arts - 1830 - 522 pages
...generally. Case 1. When a side and its opposite angle are two of the given parts. Then, as any one side, is to the sine of its opposite angle ; so is any other side, to the sine of its opposite angle. The first term of the proportion must be the sine of a given... | |
 | Charles Hutton - Mathematics - 1831 - 632 pages
...same proportion to each other, as the sines of their opposite angles have. That is, As any one aide, Is to the sine of its opposite angle ; So is any other side, To the sine of its opposite angle. Demnnstr. For, let ABC be the proposed triangle, having AB... | |
 | Thomas Holliday - Surveying - 1838 - 404 pages
...l«f; 1. Having two sides and an angle opposite one of them given, to find the rest. Rule.—As any side is to the sine of its opposite angle, so is any other side to the sine of its opposite angle. 2. Having the angles and one side given to find the rest. Rule.—As... | |
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As any one side, Is to the sine of its opposite angle ; So is any other side, To the sine of its opposite angle. 
