 | John Farrar - Logarithms - 1822 - 270 pages
...in a note subjoined to this part. In the solution of this problem we have made use of the theorem, the sines of the angles are to each other as the sides opposite to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the... | |
 | John Farrar - Logarithms - 1822 - 244 pages
...in a note subjoined to this part. In the solution of this problem we have made use of the theorem, the sines of the angles are to each other as the sides opposite to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the... | |
 | Silvestre François Lacroix - Geometry, Analytic - 1826 - 190 pages
...proportion just given admits of a general application, and may be enunciated thus ; In any triangle whatever the sines of the angles are to each other as the sides opposite to these angles. 33. The same proposition may be demonstrated in the following manner, which may appear more conformable... | |
 | 1829 - 530 pages
...is founded, leads to the resolution of all other triangles. — The theorem, that "in any triangle, the sines of the angles are to each other as the sides opposite to these angles," is demonstrated both from what precedes, and by means of a geometrical construction. This resolves... | |
 | John Farrar - Trigonometry - 1833 - 276 pages
...9,86763 2,33898 the same as before. In the solution of this problem we have made use of the theorem, the sines of the angles are to each other as the sides opposite to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the... | |
 | John Farrar - Trigonometry - 1833 - 274 pages
...in a note subjoined to this part. In the solution of this problem we have made use of the theorem, the sines of the angles are to each other as the sides opposite to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the... | |
 | 1853 - 476 pages
...other parts. 3. Find the value of sin. (a+b) and cos. (a — i). 4. In any plane triangle, prove that the sines of the angles are to each other as the sides opposite. 5. Find the value of tang. (a+b). 6. In a plane triangle, show that the sum of two sides is to their... | |
 | William Smyth - Navigation - 1855 - 234 pages
...easy to see, is of general application, and may be enunciated, as follows; in any triangle whatever, the sines of the angles are to each other as the sides-...45°,' to find the remaining parts. 1. To find AB, AB 49.62. yds. 1.695642 2. In like manner, AC is found equal to 52.96 yds. Case 2. Given two of the... | |
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... others ; thus, 0,17032 2,30103 9,86763 2,33898 the same as before. t Of the manner of measuring the necessary angles and sides and of the instruments that are used for this purpose an account is given in a note subjoined to this part. In the solution... 