| Benjamin Greenleaf - Trigonometry - 1876 - 208 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... | |
| Horatio Nelson Robinson - Navigation - 1878 - 512 pages
...that it corresponds to one of the following invariable and comprehensive rides. 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 io> the product of the cosines... | |
| Michael McDermott - Civil engineering - 1879 - 540 pages
...angle. We will arrange Napier's rules as follows, where co. = complement of the angles or hypothenuse. **Sine of the middle part, Is equal to the product of the tangents of the** adjacent parts. Is equal to the product of the cosines of the opposite parts. Sine comp. A. Sin. comp.... | |
| Eugene Lamb Richards - Trigonometry - 1879 - 232 pages
...Parts. The sine of the middle part is equal to the product of the tangents of the adjacent parts; and **the sine of the middle part is equal to the product of the** cosines of the opposite parts. Let ABC be a spherical triangle right-angled at B. We shall take each... | |
| George Albert Wentworth - Trigonometry - 1882 - 162 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 tangents of the** aAjacent parts. Rule II. The sine of the middle part is equal to the product of the cosines of the... | |
| George Albert Wentworth - Trigonometry - 1882 - 234 pages
...parts immediately adjacent are called adjacent parts, and the other two are called opposite parts. Eule **I. The sine of the middle part is equal to the product of the** tsngents of the aAjacent parts. Eule II. The sine of the middle part is equal to the product of the... | |
| George Albert Wentworth - Trigonometry - 1884 - 328 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** \asigents of the aAjacent parts. Rule II. The sine of the middle part is equal to the product of the... | |
| George Albert Wentworth - 1887 - 346 pages
...The sine of the middle part is equal to the product of the tangents of the adjacent parts. Rule II. **The sine of the middle part is equal to the product of the** famines, of the opposite parts. These Rules are easily remembered by the expressions, tan. ad. and... | |
| Webster Wells - Trigonometry - 1887 - 202 pages
...: 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. 146. Napier's rules may be proved by taking each of the circular parts... | |
| 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... | |
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