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" As any one side, Is to the sine of its opposite angle ; So is any other side, To the sine of its opposite angle. "
The Mechanics' Magazine, Museum, Register, Journal, and Gazette - Seite 83
1830
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

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...
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

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...
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A Course of Mathematics in Two Volumes for the Use of Academies as Well as ...

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...
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A System of Geometry and Trigonometry: Together with a Treatise on Surveying ...

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...
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Trigonometry, Plane and Spherical: With the Construction and Application of ...

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...
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Trigonometry, Plane and Spherical: With the Construction and Application of ...

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...
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A Course of Mathematics: In Three Volumes : Composed for the Use of the ...

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...
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A Treatise of Algebra: Wherein the Principles are Demonstrated ... To which ...

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...
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A treatise on navigation, and nautical astronomy

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...
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A Course of Mathematics for the Use of Academies: As Well as Private ..., Band 1

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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