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" I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. "
A Treatise on Plane and Spherical Trigonometry - Page 167
by William Chauvenet - 1856 - 256 pages
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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...the product of the tangents of the adjacent parts, and the five on the left are contained in Rule 2. The sine of the middle part is equal to the product of the cosines of the opposite parts. These two rules are known as Napier,s Rules of the Circular Parts. 17....
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 196 pages
...follows : The sine of the middle part is equal to the product of the cosines of the opposite parts. The sine of the middle part is equal to the product of the tangents of the adjacent parts.* * To associate cosine with opposite and tangent with adjacent, it may be noticed that the words cosine...
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 344 pages
...middle part and со с and со ß are opposite parts. Napier's rules may now be stated as follows : The sine of the middle part is equal to the product of the cosines of the opposite parts. Tlie sine of the middle part is equal to the product of the tangents...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - Trigonometry - 1918 - 330 pages
...parts and a middle to two opposite parts. NAPIER'S RULES state I. The sine of the middle part equals the product of the tangents of the adjacent parts. II. The sine of the middle part equals the product of the cosines of the opposite parts. co-A By applying these rules to the various...
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Plane and Spherical Trigonometry: With Stereographic Projections

James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...sine of a middle part is equal to the product of the cosines of the opposite parts. 2. The sine of a middle part is equal to the product of the tangents of the adjacent parts. (61) The parts mentioned in the rules are the five so-called circular parts of the right triangle;...
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Smithsonian Mathematical Formulae and Tables of Elliptic Functions

Smithsonian Institution - Elliptic functions - 1922 - 410 pages
...omitted. 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 opposite parts. From these rules the following equations follow: sin a = sin с sin a, tan...
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Smithsonian Miscellaneous Collections, Volume 74, Issue 1

Science - 1922 - 414 pages
...omitted. 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 opposite parts. From these rules the following equations follow: sin a = sin с sin a, tan...
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Smithsonian Miscellaneous Collections

Science - 1925 - 726 pages
...omitted. 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 opposite parts. From these rules the following equations follow: sin a = sin c sm a, tan...
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1926 - 340 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. 84:. In the right spherical triangles considered in this work, each...
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Trigonometry, Plane and Spherical

David Raymond Curtiss, Elton James Moulton - Trigonometry - 1927 - 426 pages
...others adjacent to it and two opposite to it. Napier's rules are these: 1. The sine of any circular part is equal to the product of the tangents of the adjacent parts. (The " tan-adj." rule.) 2. The sine of any circular part is equal to the product oi the cosines of...
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