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Books Books 11 - 20 of 110 on II. The sine of the middle part is equal to the product of the cosines of the opposite....  
" II. The sine of the middle part is equal to the product of the cosines of the opposite parts. "
An Elementary Treatise on Plane & Spherical Trigonometry: With Their ... - Page 125
by Benjamin Peirce - 1861 - 358 pages
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The elements of spherical trigonometry

James Hann - 1849
...disjunct. This practical method will be useful to seamen, and requires very little effort of memory. The sine of the middle part, is equal to the product of the cosines of the extremes disjunct. From these two equations, proportions may be formed, observing always...
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - Mathematics - 1852
...: 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. The correctness of these rules will be shown by taking each of the five...
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Elements of Plane and Spherical Trigonometry: With Their Applications to ...

Elias Loomis - Trigonometry - 1855 - 178 pages
...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. It will assist the learner...
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PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...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 of the opposite parts. If now we take in turn each of the five parts as the middle part, and...
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Plane and spherical trigonometry. [With] Solutions of problems

Henry William Jeans - 1858
...of the middle part is equal to the product of the tangents of the two parts adjacent to it. EULE 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...
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ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY

ELIAS LOOMIS, LL.D. - 1859
...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. It will assist the learner...
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The Mathematical Monthly, Volume 1

John Daniel Runkle - Mathematics - 1859
...NAPIER'S 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...
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The Mathematical Monthly

Education - 1860
...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 shown by Mr....
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The Mathematical Monthly, Volume 2

John Daniel Runkle - Mathematics - 1860
...RULE I. The sine of the middle part 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. It must be remembered that, instead of the hypothenuse and the two acute angles, their...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 453 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...
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