 | 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 - 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1900 - 184 pages
...opposite parts. Then the ten formulas obtained above may be condensed into the two following rules : The sine of the middle part is equal to the product of the tangents of the adjacent parts. The sine of the middle part is equal to the product of the cosines... | |
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I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. 
