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" II. The sine of the middle part is equal to the product of the cosines of the opposite parts. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 8
by Benjamin Peirce - 1836 - 71 pages
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 376 pages
...comp C. sin comp R = cos comp 6• cos b. sin comp C=cos compjS cose. Napier's rules may be stated : 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 t he product of the cosines of the opposite...
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Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1082 pages
...SPHERICAL TRIGONOMETRY. TIME, 3 HOUR?. 1. Prove with the aid of a figure the following Napier's principle : "The sine of the middle part is equal to the product of the tangents of the adjacent parts. 2. In a right angled spherical triangle is known p a. side adjacent to the right angle...
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1900 - 184 pages
...rules : The sine of the middle part is equal to the product of the tangents of the adjacent parts. The sine of the middle part is equal to the product of the cosines of the opposite parts. If we apply these rules, using each part successively as the middle...
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1902 - 186 pages
...rules : The sine of the middle part is equal to the product of the tangents of the adjacent parts. The sine of the middle part is equal to the product of the cosines of the opposite parts. If we apply these rules, using each part successively as the middle...
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1902 - 256 pages
...adjacent parts, and the other two are called opposite parts. Napier's Rules are RULE I. The sine of any middle part is equal to the product of the tangents of the Adjacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth, George Anthony Hill - Logarithms - 1903 - 348 pages
...adjacent parts, and the other two are called opposite parts. Napier's Rules are RULE I. The sine of any middle part is equal to the product of the tangents of the Adjacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the...
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Plane and Spherical Trigonometry and Tables

George Albert Wentworth - Trigonometry - 1903 - 346 pages
...adjacent parts, and the other two are called opposite parts. Napier's Eules are RULE I. The sine of any middle part is equal to the product of the tangents of the &Ajacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 472 pages
...: I. The sine of the middle part is equal to the product of the tangents oj the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts. (The i's, a's, and o's are lettered thus, in order to aid the memory.)...
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Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1908
...: I. The sine of the middle part is equal to the product of the tangents oj the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite, parts. (The i's, a's, and o's are lettered thus, in order to aid the memory.)...
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Spherical Trigonometry: For Colleges and Secondary Schools

Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...: I. The sine of the middle part is equal to the product of the tangents oj the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts. (The i's, a's, and o's are lettered thus, in order to aid the memory.)...
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