 | John Bonnycastle - Trigonometry - 1806 - 464 pages
...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 the sine of any other angle to its opposite side. Hence, to find an angle, begin the proportion with a side opposite to a... | |
 | Isaac Dalby - Mathematics - 1807 - 476 pages
...380, and 275 nearly. Arithmetically, or by compulation. By the Theorem Art. 219, As the sine of any angle, Is to its opposite side, So is the sine of any oilier angle, To its opposite side. arfi tothcrad.usl \^ ^ $ 1 0-3980 f Therefore "8980 (sin. ang.... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...side of the triangle to the sine of its opposite angle ; and as the sine of any angle of a triangle is to its opposite side, so is the sine of any other angle of the triangle to its opposite side. Note. When in the first of the foregoing proportions the... | |
 | Thomas Holliday - Surveying - 1838 - 404 pages
...opposite angle. 2. Having the angles and one side given to find the rest. Rule.—As the sine of any angle is to its opposite side, so is the sine of any other angle to its opposite side. 1. Given the angle A 55° 30', the angle B 52° 10', and the side A—B... | |
 | William Watson (of Beverley.) - 1845 - 188 pages
...product will be the area. B = 90° = a right angle, the sine of which is 1. And as the sine of any angle is to its opposite side, so is the sine of any other angle to its opposite side, and vice versa. The tangent of the angle A = BC-*-AB = cot. C. Tan. C:=AB-:-BC... | |
 | Olinthus Gilbert Gregory - 1848 - 572 pages
...angles. In practice, if a side be required, begin the proportion with a sine, and say, As the sine of the given angle, Is to its opposite side ; So is the sine of either of the other angles, To its opposite side. If an angle be required, begin the proportion with... | |
 | John William Norie - Nautical astronomy - 1852 - 844 pages
...Triangles. I. When two of tfte three given Paris are a Side, and its opposite Angle To find a Side. As the sine of any given angle Is to its opposite...sine of any other given angle To its opposite side. To find an Angle. As any given side Is to the sine of its opposite angle, So is any other given side... | |
 | S. M. Saxby - Nautical astronomy - 1861 - 140 pages
...is peculiarly simple. To find a Side. 78. KULE. — As the sine of any given angle is to the sine of its opposite side, so is the sine of any other given angle to the sine of its opposite side. To find an Angle. 79. KULE. — As any given side is to the sine of... | |
 | S. M. Saxby - Marine engines - 1862 - 200 pages
...proportion to the sines of their opposite angles," is peculiarly simple. To find a Side. 45. EULE. — As the sine of any given angle is to its opposite...sine of any other given angle to its opposite side. To find an Angle. 46. EULE. — As any given side is to the sine of its opposite angle, so is any other... | |
 | William Davis Haskoll - 1868 - 252 pages
...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 the sine of any other angle to the opposite side. • . Therefore to find the sine of an angle, begin the proportion with... | |
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If a side be required, say, — As the sine of the given angle is to its opposite side, So is the sine of either of the other angles to its opposite side. 
