| Horatio Nelson Robinson - Geometry - 1860 - 472 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... | |
| Benjamin Peirce - Trigonometry - 1861 - 400 pages
...— 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 - 514 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... | |
| Benjamin Greenleaf - Geometry - 1862 - 520 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... | |
| Benjamin Greenleaf - Geometry - 1861 - 628 pages
...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... | |
| 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... | |
| 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... | |
| Benjamin Greenleaf - 1867 - 188 pages
...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 of the** opposite parts. 168. Napier's rules may be proved by showing that they agree with the results already... | |
| Eli Todd Tappan - Geometry - 1868 - 436 pages
...next to it are the adjacent parts, and the remaining two are the opposite parts. Napier's rule is : **The sine of the middle part is equal to the product of the** tangents of the adjacent parts, also to the product of the cosines of the opposite parts. The words... | |
| Henry W. Jeans - 1873 - 272 pages
...substituted for cos. co. A ; cos. A for sin. co. A ; cot. A for tan. co. A, to. (See Part II.) KULE B. **The sine of the middle part is equal to the product of the cosines of the two** parts opposite to, or separated from it.* Having written down the equation according to the case, make... | |
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