 | John Farrar - Logarithms - 1822 - 270 pages
...to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the tangent of one of the acute angles, as the side adjacent to this angle is to the side opposite ; thus, As radius or sine of 90° 10,00000 is to 6c... | |
 | John Farrar - Logarithms - 1822 - 244 pages
...to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the tangent of one of the acute angles, as the side adjacent to this angle is to the side opposite ; thus, As radius or sine of 90° . 10,00000 is to 6... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...proportion CE : EF : : CB : BA ; hence R : sin C : : BC : BA. XL 1 1 1. In all right-angled triangles, radius is to the tangent of one of the acute angles as the side lying adjacent to this angle is to the side lying opposite. Having described the arc DE (see the last... | |
 | 1829 - 538 pages
...the sine of one of the acute angles, as the hypothenuse is to the side opposite to this ang le ; and, radius is to the tangent of one of the acute angles,...adjacent to this acute angle is to the side opposite. When, however, any two sides are given to find the third, a more direct solution is obtained by the... | |
 | 1829 - 536 pages
...the sine of one of the acute angles, as the hypothenuse is to the side opposite to this angle ; and, radius is to the tangent of one of the acute angles, as the side of the right angle adjaa-nt to this acute angle is to the side opposite. When, however, any two sides are given to find... | |
 | John Farrar - Trigonometry - 1833 - 276 pages
...to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the tangent of one of the acute angles, as the side adjacent to this angle is to the side opposite; thus, As radius or sine of 90° 10,00000 is to 6 c... | |
 | John Farrar - Trigonometry - 1833 - 274 pages
...to these angles. We might also apply the rule given for right-angled triangles (Trig. 30), namely, radius is to the tangent of one of the acute angles, as the side adjacent to this angle is to the side opposite; thus, As radius or sine of 90° 10,00000 is to bc .... | |
 | William Smyth - Plane trigonometry - 1834 - 94 pages
...may thus enunciate ; radius is to the tangent of one of the acute angles in a right angled triangle, as the side of the right angle adjacent to this acute angle is to the side opposite . 51. Ex. 1. In the triangle ABC (fig. 25) given the side BC 500 yds, and the angle at B 22° 30';... | |
 | William Smyth - Plane trigonometry - 1834 - 104 pages
...we thus enunciate ; radius is to the secant of one of the acute angles in a right angled triangle, as the side of the right angle adjacent to this acute angle is to the hypothenuse. Ex. 1. In the triangle ABC (fig. 25) given BC 500 yds, and the angle B 22° 30', to find... | |
 | John Gregory - 1842 - 328 pages
...similar, AE : EF:: AC : CB ; that is, R : sin. C:: AC : CB (4.6). 2. In any right-angled triangle, radius is to the tangent of one of the acute angles, as the side lying adjacent to this angle is to the side lying opposite. Draw the perpendicular DG (see the preceding... | |
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... for this purpose an account is given 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... 