 | Thomas Marcus Blakslee - Trigonometry - 1888 - 56 pages
...the complements of the opposite angles, and the complement of the hypotenuse. His rules are : RULE I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. By (1) (6) sin a = sin A sin h = tan 6 cot B sin b — sin B sin A = tan a cot A cos... | |
 | Thomas Marcus Blakslee - Trigonometry - 1888 - 56 pages
...the complements of the opposite angles, and the complement of the hypotenuse. His rules are : RULE I. The sine of the middle part is equal to the product of the iangents of the adjacent parts. (4) | cos Л = cosa cos 6 = cot A cot J5|(4) I. By (Сотр. Ay.)... | |
 | Edwin Pliny Seaver - Trigonometry - 1889 - 306 pages
...adjacent parts, while a and со В are the opposite parts. These are Napier's rules: ( i ) The sine of a middle part is equal to the product of the tangents of the adjacent parts. (ii) The sine of a middle part is equal to the product of the cosines of the opposite... | |
 | 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
...cot J5 s1n A s1n Tí = tan (90° - A) tan (90° - B). THEOREM XIII. In any right spherical triangle, the sine of the middle part is equal to the product of the cosines of the opposite parts. For, cos В + cos С cos A 04 S1n A = ; ; -; . . Til. III. (2). But... | |
 | George Albert Wentworth - Navigation - 1895 - 436 pages
...parts 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
...parts 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 - 236 pages
...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 of the opposite parts. 142. Napier's rules may be proved by taking each circular part in succession... | |
 | William Chauvenet - Geometry - 1896 - 274 pages
...: 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 of the opposite parts. The correctness of these rules will be shown by taking each of the five... | |
 | George Albert Wentworth - Logarithms - 1897 - 384 pages
...parts 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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II. The sine of the middle part is equal to the product of the cosines of the opposite parts. 
