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" I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 8
by Benjamin Peirce - 1836 - 71 pages
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Sessional Papers, Volume 26, Issue 8

Canada - 1893 - 1092 pages
...figure the following Napier's principle for the solution of right-angled spherical triangles : — " The sine of the middle part is equal to the product of the tan" gents of the adjacent parts." 2. In a right-angled spherical triangle given the other two angles,...
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Plane and Spherical Trigonometry

Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...in Theorems X and XI are known as Napier1s Analogies. THEOREM XII. In any right spherical triangle, the sine of the middle part is equal to the product of the tangents of the adjacent parts. For, sin b cot с — sin A cot С „7 „ ._ .,.,. cos A = ; . ....
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Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - Surveying - 1895 - 422 pages
...immediately adjacent are called adjacent parts, and the other two are called opposite parts. Rule I. The sine of the middle part is equal to the product of the tuX\gents of the tAjacent parts. Rule II. The sine of the middle part is equal to the product of the...
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Trigonometry, Surveying and Navigation

George Albert Wentworth - Navigation - 1895 - 436 pages
...immediately adjacent are called adjacent parts, and the other two are called opposite parts. Rule I. The, sine of the middle part is equal to the product of the i&ngents of the uaja'-ent parts. Rule II. The sine of the middle part is equal to the product of the...
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New Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1896 - 240 pages
...: I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. EL The sine of the middle part is equal to the product of the cosines of the opposite parts. 142. Napier's rules may be proved by taking each circular part in succession as the...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1896 - 274 pages
...not being considered, the two sides including it are regarded as adjacent parts. The rules are : I. The sine of the middle part is equal to the product of the tangents of the adjacent farts. II. The sine of the middle part is equal to the product of the cosines...
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New Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1896 - 236 pages
...are called the adjacent parts, and the remaining two the opposite parts. Then Napier's rules are : I. The sine of the middle part is equal to the product of the tangents of the adjacent parís. II. The sine of the middle part is equal to the product of the cosines...
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Pamphlets in Philology and the Humanities, Volume 2

English language - 1897 - 726 pages
...the application of the rules : « a = b b sin A = tan A. tan B cos A = C sin B = c a cos B = a C 1 The sine of the middle part is equal to the product of the tangents of the adjacent parts. 2 The sine of the middle part is equal to the product of the cosines...
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Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - Logarithms - 1897 - 384 pages
...immediately adjacent are called adjacent parts, and the other two are called opposite parts. Rule I. The sine of the middle part is equal to the product of the t&ngents of the Adjacent parts. Rule II. The sine of the middle, part is equal to the product of the...
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 362 pages
...C. sin comp R = cos comp 6• cos b. sin comp C=cos compjS cose. Napier's rules may be stated : I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to t he product of the cosines...
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