 | George Albert Wentworth - Trigonometry - 1901 - 176 pages
...the same way, b sin.B a sin A e с sin С sin С Hence the Law of Sines, which may be thus stated : The sides of a triangle are proportional to the sines of the opposite angles. If we regard these three equations as proportions, and take them by alternation, it will be evident... | |
 | George Alexander Thomas Middleton - Surveying - 1902 - 182 pages
...180°-(7° 58' + 169° 350 = 180"- 177° 33" = 2" 27'. Now, because by the rule already laid down, the sides of a triangle are proportional to the sines of the opposite angles. Therefore — Side 1 — 3 : side 1 — 2 : : sine of angle 1 — 2 — 3 : sine of angle 1—3—2.... | |
 | George Albert Wentworth - Plane trigonometry - 1902 - 280 pages
...opposite sides, we may obtain, in the same way, b sin В a sin A с sin С sin C Hence the Law of Sines : The sides of a triangle are proportional to the sines of the opposite angles. If we regard these three equations as proportions, and take them by alternation, it is evident that... | |
 | George Albert Wentworth, George Anthony Hill - Logarithms - 1903 - 298 pages
...sides, we may obtain, in the same way, & — sin B o sin C Hence the Law of Sines : a c sin A sin C The sides of a triangle are proportional to the sines of the opposite angles. If we regard these three equations as proportions, and take them by alternation, it is evident that... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...Given the three sides. 87. Cases I and II can be most easily solved by using the following formula : The sides of a triangle are proportional to the sines of the opposite angles. o Fig. 19. Let ABC be the given triangle. In each figure the perpendicular, CD, conies in two right... | |
 | George Albert Wentworth - Plane trigonometry - 1903 - 384 pages
...sides, we may obtain, in the same way, /- _ sin B , a sin Л с sin C Hence the Law of Sines : a e sin C The sides of a triangle are proportional to the sines of the opposite angles. If we regard these three equations as proportions, and take them by alternation, it is evident that... | |
 | Education - 1910 - 994 pages
...in that some of the practical problems, leading up to the necessity for the theorem that two Fides of a trian'gle are proportional to the sines of the opposite angles, are suggested for investigation. Not only is geometry correlated with algebra and trigonometry; but... | |
 | Education - 1910 - 920 pages
...in that some of the practical problems, leading up to the necessity for the theorem that two >-ide& of a triangle are proportional to the sines of the opposite angles, are suggested for investigation. Not only is geometry correlated with algebra anil trigonometry; but... | |
 | Henry Edgar Eames - Rifle practice - 1909 - 396 pages
...the ground at the target respectively, make with the line of sight. Then, from the figure and since the sides of a triangle are proportional to the sines of the opposite angles, X ir" f 100 (A—C or), s : d : : sin f : sin [i80°—(ffg)], and, since the sine of an angle is the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...XOQ by <fi, XOP by 6, and OP by «, and write down an expression for the length PQ. Remembering that the sides of a triangle are proportional to the sines of the opposite angles, deduce an equation connecting 6 and 0 and solve it for tan </i. Use your tables to evaluate 0 when... | |
| |
The sides of a triangle are proportional to the sines of the opposite angles. 
