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" 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. "
Plane and Spherical Trigonometry and Tables - Pàgina 147
per George Albert Wentworth - 1903 - 307 pàgines
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Surveyor's Hand Book

Thomas Ulvan Taylor - 1908 - 374 pàgines
...any part is equal to the product of the Tangents of the Adjacent parts. Cosine Law: The sine of any part is equal to the product of the Cosines of the Opposite parts. TKe right angle C is not counted or regarded as a part and a and b are regarded as adjacent parts as...
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Pure Mathematics

Leslie Leland Locke - 1909 - 364 pàgines
...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 the right angle...
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Plane and Spherical Trigonometry

Levi Leonard Conant - 1909 - 320 pàgines
...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-, op- renders it easy to remember...
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Plane and Spherical Trigonometry

Arthur Graham Hall, Fred Goodrich Frink - 1910 - 204 pàgines
...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...
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The Americana: A Universal Reference Library, Comprising the Arts ..., Volum 21

Frederick Converse Beach, George Edwin Rines - 1912 - 824 pàgines
...may be and are called opposite. By inspecting the first half of the preceding table it appears that the sine of any middle part is equal to the product of the cosines of its opposite parts, and, froni the second half, that the sine of a mtddle part is the product of the...
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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - 1913 - 562 pàgines
...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. Proof of Napier's Rules of Circular...
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Trigonometry

Alfred Monroe Kenyon, Louis Ingold - 1913 - 300 pàgines
...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 adjacent parts....
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Plane and Spherical Trigonometry

George Wentworth, David Eugene Smith - 1915 - 388 pàgines
...1. T/¿e Ätwe of any middle part is equal to the product of the tangents of the adjacent parts. 2. The sine of any middle part is equal to the product of .the cosines of the opposite parts. PRINCIPAL FORMULA8 OF OBLIQUE TRIANGLE8 (§§ 189-191) sin a _ sin b _ sin с sin Л sinВ sin C cos...
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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - 1917 - 344 pàgines
...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 of the adjacent parts.* * To associate...
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The Encyclopedia Americana: A Library of Universal Knowledge, Volum 27

1920 - 898 pàgines
...may be and are called opposite. By inspecting the first half of the preceding table it appears that the sine of any middle part is equal to the product of the cosines of its opposite parts, and, from the second half, that the sine of a middle part is the product of the...
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