| Abel Flint - 1804 - 168 Seiten
...one Angle ; Is to its opposite Side ; So is the Sine of another Angle ; To its opposite Side. Or, As **one Side ; Is to the Sine of its opposite Angle ; So is** another Side1 ; To the Sine of its opposite Angle. Note. When an Angle exceeds 90° make use of its... | |
| John Bonnycastle - 1806 - 419 Seiten
...greatest segment will lie next the greatest side, and the least segment next the least side. n As any **side is to the sine of 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... | |
| Charles Hutton - 1807
...triangle have the same proportion to each other, as the sines of their opposite angles have., . r That is, **As any one side, Is to the sine of its opposite angle...•> •'<• • To the sine of its opposite angle.** Demetistr. For, let ABC be the proposed triangle, having AB the greatest side, and BC the least. Take... | |
| Abel Flint - 1808 - 168 Seiten
...one Angle ; Is to its opposite Side ; So is the Sine of another Angle ; To its opposite Side. Or, As **one Side ; Is to the Sine of its opposite Angle ; So is** another Side ; To the Sine of its opposite Angle. Note. When an Angle exceeds 90° make use of its... | |
| Thomas Simpson - 1810 - 125 Seiten
...be 32" OO'. THEOREM III. every plane triangle ABC (fig. 3.), it will be, as any one side is to tin- **sine of its opposite angle, so is any other side to the sine of** г tu opposite angle. ,^, For, take CF = AB, and upon AC let fall the perpendiculars BD and FE; which... | |
| Thomas Simpson - 1810 - 125 Seiten
...found, by the canon, to be 32° 00'. THEOREM III. In every plane triangle ABC (fig. 3.), it will be, **as any one side is to the sine of its opposite angle, so is** anij other side to the sine of its opposite angle. • THEOREM IV. As the base of any plane triangle... | |
| Charles Hutton - 1811
...triangle have the same proportion to each other, as the sines of their opposite angles have. That is, **As any one side, Is to the sine of its opposite angle...any other side, To the sine of its opposite angle.** Dfmonttr. Dem/mstr. For, let ABC be the proposed triangle, having AB the greatest side, and BC the... | |
| Thomas Simpson - 1821 - 408 Seiten
...q. ED A PROPOSITION IX. In every plane triangle, it will be, as any one side is to the sine of the **opposite angle, so is any other side to the sine of its opposite angle.** For, let ABC be the proposed triangle; take CF=AB, and upon AC, let fall the perpendiculars BD and... | |
| Edward Riddle - 1824 - 551 Seiten
...one of them, or two angles and a side opposite to one of them, are given. As any side of a triangle **is to the sine of its opposite angle, so is any other side** of the triangle to the sine of its opposite angle ; and as the sine of any angle of a triangle is to... | |
| Charles Hutton - 1825
...to each olher as the sines of their opposite angles have. That is, As any one side, _ls to the fine **of its opposite angle ; So is any other side, To the sine of** ils opposite angle. Demonstr. Demonttr. For, let ABC be the proposed triangle, having AB the greatest... | |
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