| 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 - 1090 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 - 230 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... | |
| English language - 1897
...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 of the opposite parts. Demonstration of the following : An angle and its opposite side are... | |
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