...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...equations as proportions, and take them by alternation, it will be evident that they may be written in the symmetrical form, abo sin A sin Б sin С Each of these...

...opposite sides, we may obtain, in the same way, b sin В a sin A e sin С Hence the Law of Sines : a e sin С The sides of a triangle are proportional to...evident that they may be written in the symmetrical form ab с sin A sin В sin С Each of these equal ratios has a simple geometrical meaning which will appear...

...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...evident that they may be written in the symmetrical form ab с sin A sin В sin C Each of these equal ratios has a simple geometrical meaning which will appear...

...in the same way, sin/? a с sin A sin С с sm С Hence the Law of Sines : The sides of a tñangle are proportional to the sines of the opposite angles....evident that they may be written in the symmetrical form sin A sin B sin С Each of these equal ratios has a simple geometrical meaning which will appear if...

...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....

...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...may be written in the symmetrical form abc sin A sin B sin C Each of these equal ratios has a simple geometrical meaning which will appear if the Law of...

...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...evident that they may be written in the symmetrical form sin Л sin B sin C Each of these equal ratios has a simple geometrical meaning which will appear if...

...sides, we may obtain, in the same way, b sili Б a sin A с sin C с sin C Hence the Law of Sines : The sides of a triangle are proportional to the sines...evident that they may be written in the symmetrical form ab с sin A sin B sin C Each of these equal ratios has a simple geometrical meaning which will appear...

...opposite sides, we may obtain, in the same way, l> sin B a sin .1 с « s in С Hence the Law of Sines : sin С The sides of a triangle are proportional to...alternation, it is evident that they may be written iu the symmetrical form ab с sin Л sin B sin С Each of these equal ratios has a simple gcometrical...

...opposite sides, we may obtain, in the same way, b sin B a sin .4 c sin C c sin C Hence the Law of Sines : The sides of a triangle are proportional to the sines...alternation, it is evident that they may be written iu the symmetrical form sin A sin B sin C Each of these equal ratios has a simple geometrical meaning...