| 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,... | |
| 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 = ; . .... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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