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" In practice however, there will generally be some circumstances which will determine whether the angle required is acute or obtuse. If the side opposite the given angle be longer than the other given side... "
Inductive Geometry, Or, An Analysis of the Relations of Form and Magnitude ... - Page 310
by Charles Bonnycastle - 1834 - 631 pages
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A Treatise of Plane Trigonometry: To which is Prefixed, a Summary View of ...

Jeremiah Day - Logarithms - 1815 - 172 pages
...is equal to CBB'. Therefore ABC, which is the supplement of CBB' is also the supplement of CB'B. But the sine of an angle is the same, as the sine of its supplement. (Art. 90.) The result of the calculation will, therefore, be ambiguous. In pf-actice, however, there...
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A Practical Application of the Principles of Geometry to the Mensuration of ...

Jeremiah Day - Measurement - 1815 - 388 pages
...is equal to CBB'. Therefore ABC, which is the supplement of CBB' is also the supplement of CB'B. But the sine of an angle is the same, as the sine of its supplement. (Art. 90.) The result of the Calculation will, therefore, be ambiguous. In practice, however, there...
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The Second [-fifth and Sixth] Part of A Course of Mathematics: Adapted to ...

Jeremiah Day - Geometry - 1824 - 440 pages
...is equal to CBB'. Therefore ABC, which is the supplement of CBB' is also thesupplement of CB'B. But the sine of an angle is the same, as the sine of its supplement. (Art. 90.) The result of the calculation will, therefore be ambiguous. In practice however, there will...
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The Principles of Plane Trigonometry, Mensuration, Navigation and Surveying

Jeremiah Day - Measurement - 1831 - 520 pages
...equal to CBB'. Therefore, ABC, which is the supplement of CBB', is also the supplement of CB'B. But the sine of an angle is the same, as the sine of its supplement. (Art. 90.) The result of the calculation will, therefore be ambiguous. In practice however, there will...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1838 - 416 pages
...equal to CBB'. Therefore ABC, which is the supplement of CBB', is also the supplement of CB'B. But the sine of an angle is the same, as the sine of its supplement. (Art. 90.) The result of the calculation will, therefore, be ambiguous. In practice, however, there...
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A Course of Mathematics: Containing the Principles of Plane ..., Volumes 1-3

Jeremiah Day - Geometry - 1839 - 434 pages
...equal to CBB'. Therefore ABO, which is the supplement of CBB', is also the supplement of CU'B. But the sine of an angle is the same, as the sine of it:? supplement. (Art. 90.) The result of the calculation willj therefore, be ambiguous. In practice,...
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A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 354 pages
...equal to CBB'. Therefore ABC, which is the supplement of CBB', is also the supplement of CB'B. But the sine of an angle is the same, as the sine of its supplement. (Art. 90.) The result of the calculation will, therefore, be ambiguous. In practice, however, there...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...equal to CBB'. Therefore ABO, which is the supplement of CBB', is also the supplement of Cli'B. But the sine of an angle is the same, as the sine of iti supplement. (Art. 90.) The result of the calculation willj therefore, be ambiguous. In practice,...
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A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Mathematics - 1853 - 288 pages
...equfu to CBB'. Therefore ABt ! which is the supplement of CBB', is also the supplement of (. I'i'B. But the sine of an angle is the same, as the sine of tl » supplement. (Art. 90.) The result of the calculation wiJIj therefore, be ambiguous. In practice,...
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Field-book for Railroad Engineers: Containing Formulæ for Laying Out Curves ...

John Benjamin Henck - Railroad engineering - 1854 - 270 pages
...triangle AD С we have sin. С AD : sin. AD С = CD: AC. But CAD = £Л OD= i/(§ 2. III. and VI.), and as the sine of an angle is the same as the sine of its supplement, sin. ADC = sin. A DE = cos. DAE = cos. i/. Moreover, CD — b and А С = T. Substituting these values...
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