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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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Plane and Spherical Trigonometry

Levi Leonard Conant - Trigonometry - 1909 - 316 pages
...: 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 of the opposite parts. The similarity of the vowel sounds in the syllables tan-, adand co-,...
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Plane and Spherical Trigonometry

Arthur Graham Hall, Fred Goodrich Frink - Trigonometry - 1910 - 176 pages
...and co-▀ are the adjacent parts, b and co-ź the opposite parts. Napier's rules are the following : 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....
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The Elements of Plane and Spherical Trigonometry

John Gale HUN (and MAC INNES (Charles Ranald)), Charles Ranald MacInnes - Trigonometry - 1911 - 234 pages
...classed as either a middle and two adjacent parts, or a middle and two opposite parts. 82. Napier's Rule. The sine of the middle part is equal to the product of the tangents of the adjacent parts, and to the product of the cosines of the opposite parts. Since there are ten combinations...
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Trigonometry

Alfred Monroe Kenyon, Louis Ingold - Trigonometry - 1913 - 256 pages
...1. The sine of the middle part is equal to the product of the cosines of the opposite parts. BULE 2. The sine of the middle part is equal to the product of the tangents of the adjacent parts. These rules may be remembered by the alliteration of the first vowel in the words cosine...
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Trigonometry

Alfred Monroe Kenyon, Louis Ingold - Trigonometry - 1913 - 132 pages
...adjacent or both opposite. Napier's rules refer to these circular parts and are as follows : EULE 1. The sine of the middle part is equal to the product of the cosines of the opposite parts. RULE 2. The sine of the middle part is equal to the product of the tangents...
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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert ╔douard Moritz - Trigonometry - 1913 - 560 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...
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 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 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 Mathematical Formulae and Tables of Elliptic Functions

Smithsonian Institution - 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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