| Elias Loomis - Logarithms - 1859 - 372 pages
...value of the part required may then be found by the following RULE OF NAPIER. (211.) The product of the **radius and the sine of the middle part, is equal to the** product of the tangents of the adjacent parts, or to the product of the cosines of the opposite parts.... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1869 - 472 pages
...-C) = cose cos (90° -2?) • • • • (5.) Comparing these formulas with the figure, we see that, **The sine of the middle part is equal to the rectangle of** cosines of the opposite parts. Formulas (8), (7), (4), (6), and (3), of Art. 72. may bo written as... | |
| Enoch Lewis - 1872 - 238 pages
...extremes; and the other two are termed the opposite extremes. Then Napier's rules are: 1. The^rectangle **of radius and the sine of the middle part is equal to the rectangle of the** tangents of the adjacent extremes. part is equal to the rectangle of the cosines of the opposite extremes.... | |
| Charles Davies - Geometry - 1872 - 464 pages
...C) = tan (90°-a) tan b • ' • • (10.) Comparing these formulas with the figure, we see that, **The sine of the middle part is equal to the rectangle of the** tangents of the adjacent parts. These two rules are called Napier'a rales for Circular Parts, and they... | |
| Charles Ramsay Drinkwater Bethune - 1872 - 102 pages
...if only two are adjacent, they are extremes, and the opposite part is the middle part. The product **of Radius and the Sine of the middle part is equal to the** products of the tangents of the adjacent extremes, or of the cosines of the opposite extremes : (tan.... | |
| Adrien Marie Legendre - Geometry - 1874 - 512 pages
...cos c cos (90°— 2?) • • • • (5.) Comparing tLese formulas with the figure, we see that. **The sine of the middle part is equal to the rectangle of** Ike cosines of the opposite parts. Let us now take the same middle parts, and the other parts adjacent.... | |
| William Guy Peck - Conic sections - 1876 - 376 pages
...(5) Comparing these formulas with the diagram, we see that the following rule is always true : 1st. **The sine of the middle part is equal to the rectangle of the** cosine of the opposite parts. 2°. From formulas (7), (6), (8), (10), and (9), of Art. 46, we have,... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...sin (90° - C) = cose cos (90° - B). .... (5.) Comparing these formulas with the figure, we see that **The sine of the middle part is equal to the rectangle of the** cosines of the opposite parts. Let us now take the same middle parts, and the other parts adjacent.... | |
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