Books Books 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 ## The Elements of Plane and Spherical Trigonometry

...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... ## 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 of the... ## Trigonometry

Alfred Monroe Kenyon, Louis Ingold - Trigonometry - 1913 - 184 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... ## Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 560 pages
...c, are called opposite parts. Then each of the five equations on the right are contained in Rule 1. The sine of the middle part is equal to 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... ## 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... ## Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 344 pages
...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 of the adjacent parts.* * To associate cosine with opposite, and tangent with adjacent, it... ## Smithsonian Mathematical Formulae and Tables of Elliptic Functions

Smithsonian Institution - Elliptic functions - 1922 - 412 pages
...The five parts are a, b, со с, со а, со ß, where со с = с. The right angle 7 is 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... ## Smithsonian Miscellaneous Collections, Volume 74, Issue 1

Science - 1922 - 414 pages
...Rules: The five parts are a, b, с0 с, с0 а, с0 ß, where с0 с = c. The right angle 7 is 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... ## Plane and Spherical Trigonometry: With Stereographic Projections

James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 pages
...obtained from the following rules given by Napier: In a right spherical triangle, 1. The 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... 