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" I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. "
First Part of an Elementary Treatise on Spherical Trigonometry - Page 8
by Benjamin Peirce - 1836 - 71 pages
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Plane and Spherical Trigonometry: An Elementary Text-book

Charles Hamilton Ashton, Walter Randall Marsh - Trigonometry - 1902 - 186 pages
...opposite parts. Then the ten formulas obtained above may be condensed into the two following 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...
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1902 - 256 pages
...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 opposite parts. These rules are easily remembered by the expressions tan. ad. and cos. op. The correctness...
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Plane and Spherical Trigonometry and Tables

George Albert Wentworth - Trigonometry - 1903 - 346 pages
...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 opposite parts. These rules are easily remembered by the expressions tan. ad. and cos. op. The correctness...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth, George Anthony Hill - Logarithms - 1903 - 348 pages
...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 opposite parts. These rules are easily remembered by the expressions tan. ad. and cos. op. The correctness...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 466 pages
...the middle part, and o, 6, are opposite parts. Napier's rules of circular parts are as follows : 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...
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Spherical Trigonometry: For Colleges and Secondary Schools

Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...the middle part, and a, b, are opposite parts. Napier's rules of circular parts are as follows : 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...
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Plane [and Spherical] Trigonometry for Colleges and Secondary Schools

Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...adjacent parts, thus getting ten sets in all. Napier'' s rules of circular parts are as follows : 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...
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Plane and Spherical Trigonometry

Levi Leonard Conant - Trigonometry - 1909 - 320 pages
...the opposite parts. Napier's rules for the solution of spherical right triangles are as follows : 1. The sine of the middle part is equal to the product of the tangents of the adjacent parts. 2. The sine of the middle part is equal to the product of the cosines...
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Pure Mathematics

Leslie Leland Locke - Mathematics - 1909 - 366 pages
...complement of each part is to be taken rather than the part. Napier's Rules of circular parts : Stn of middle part is equal to the product of the cosines of the opposite parts, or equal to the product of the tangents of the adjacent parts. It is seen that omitting...
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Plane and Spherical Trigonometry

Arthur Graham Hall, Fred Goodrich Frink - Trigonometry - 1910 - 204 pages
...I. The sine of the middle part is equal to the product of the tangents of the two adjacent parts ; II. The sine of the middle part is equal to the product of the cosines of the two opposite parts. The alliterative element in the device is obvious. The validity of the rules appears only from the...
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