 | John Daniel Runkle - Mathematics - 1859 - 478 pages
...RULES. BY TUI MAN HENRY 8AFFORD. IN the form in which they are usually given, the rules are — I. The sine of the middle part is equal to the product of tlie tangents of tJie adjacent parts. II. T/te sine of the middle part is equal to tJic product of... | |
 | 1860 - 462 pages
...— RULE I. The sine of the middle pari equals the product of the cosines of the opposite parts. RULE II. The sine of the middle part is equal to the product of the tangents of the adjacent parts. That the second of these rules may be deduced from the first has been... | |
 | Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...that it corresponds to one of the following invariable and comprehensive rules : 1. The radius into the sine of the middle part is equal to the product of the tangents of the adjacent parts. 2. The radius into the sine of the middle part is equal to the product... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...opposite, when either of the five parts is chosen as the middle part. 90°-B 90° -T NAPIER'S RULES. 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 the product of the cosines... | |
 | Benjamin Peirce - Trigonometry - 1861 - 396 pages
...as follows : — I. The sine of the middle part is equal to the product of the tangents of the two adjacent parts. II. The sine of the middle part is equal to the product of the manes of the two opposite parts. [B., p. 438.] Proof. To demonstrate the preceding rules, .it is only... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...NAPIER. I. The sine of the middle part is equal to Hie product of tlte tangents of the adjacent parts. IL The sine of the middle part is equal to the product of the cosines of the opposite parts. 168. Napier's rules may be proved by showing that they agree with the results already established,... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...have as THE RULES OF NAPIER. 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 the product of tJie cosines of the opposite parts. 168. Napier's rules may be proved by showing that they agree with... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...are called the opposite parts. Then, whatever be the middle part, we have as THE EULES OF NAPIER. 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 the product of the cosines... | |
 | William Chauvenet - Trigonometry - 1863 - 272 pages
...»in» of the middle part и equal to the product of the tangents of the adjacent parte. II. The »ine 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 parts as middle part, and comparing... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...are called the opposite parts. Then, whatever be the middle part, we have as THE RULES ov NAPIKR. 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 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. 
