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Books Books 71 - 77 of 77 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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Plane and Sperical Trigonometry, with Five-place Tables: A Text-book for ...

Robert Edouard Moritz - Mathematics - 1913 - 453 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 - 313 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...
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Textbooks - 1917 - 313 pages
...middle part and со с and со 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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Smithsonian Mathematical Formulae and Tables of Elliptic ..., Volume 74, Issue 1

Smithsonian Institution, Richard Lionel Hippisley - Elliptic functions - 1922 - 314 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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Plane and Spherical Trigonometry: With Stereographic Projections

James Atkins Bullard, Arthur Kiernan - Plane trigonometry - 1922 - 230 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...
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Great Moments in Mathematics (before 1650)

Howard Whitley Eves - Mathematics - 1983 - 270 pages
...any middle part is equal to the product of the cosines of the two opposite parts. 2. The sine of any middle part is equal to the product of the tangents of the two adjacent parts. (a) By applying each of the above rules to each of the circular parts, obtain the ten formulas used...
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CRC Standard Mathematical Tables and Formulae, 31st Edition

Daniel Zwillinger - Mathematics - 2002 - 928 pages
...above for a right spherical triangle may be recalled by the following two rules: 1 . The sine of any middle part is equal to the product of the tangents of the two adjacent parts. 2. The sine of any middle part is equal to the product of the cosines of the two opposite parts. 4.19.1.2...
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