| William Chauvenet - 1852 - 268 pages
...right angle not being considered, the two sides including it are regarded as adjacent. The rules are : **I. The sine of the middle part is equal to the product...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... | |
| Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...middle pari is equal to the products of the tangents of the adjacent parís. 2. The tine of the muidle **part is equal to the -product of the cosines of the opposite** part* : thus, sin (90° - «) = tan (90° - B) tan (90° - C), and sin (90° — it) = cos e cos 4.... | |
| George Roberts Perkins - Geometry - 1856 - 460 pages
...and which are opposite, when either of the five parts is chosen as the middle part. NAPIER'S RULES, **I. The sine of the middle part is equal to the product...the product of the cosines of the opposite parts.** If now we take in turn each of the five parts as the middle part, and apply these Eules, we shall obtain... | |
| 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...the product of the cosines of the opposite parts.** If now we take in turn each of the five parts as the middle part, and apply these Rules, we shall obtain... | |
| Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...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 of the cosines of the opposite parts.** These rules are known as .Napier's Rules, because they were first given by that distinguished mathematician,... | |
| 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... | |
| William Chauvenet - Trigonometry - 1924 - 268 pages
...adjacent parts. The rules are : I. The sine of the middle part is equal to the product of the tangente **of the adjacent parts. II. The sine of the middle...the product of the cosines of the opposite parts.** The correctness of these rules will be shown by taking each of the fife parts as middle part, and comparing... | |
| Gerardus Beekman Docharty - Geometry - 1867 - 474 pages
...to the product of the tangents of the adjacent parts. . 2. The product of sin. M and tabular radius **is equal to the product of the cosines of the opposite parts.** In order to make these rules clearly understood, we will show the manner in which they are applied... | |
| Benjamin Greenleaf - 1869 - 516 pages
...two parts are called the opposite parts. Then, whatever be the middle part, we have as THE RULES OF **NAPIER. -I. The sine of the middle part is equal to...results already established, Art. 165. Thus, 1. Let** 6 be taken for the middle part ; then p and the complement of A will be the adjacent parts, and the... | |
| William Chauvenet - Trigonometry - 1871 - 268 pages
...considered, the two sides including it are regarded as adjacent parts. The rules are : I. The tine **of the middle part is equal to the product of the...the product of the cosines of the opposite parts.** The correctness of these rules will be shown by taking each of the five parts aa middle part, and comparing... | |
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