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" I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. "
Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ... - Pàgina 110
per Aaron Schuyler - 1873 - 490 pàgines
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Surveyor's Hand Book

Thomas Ulvan Taylor - 1908 - 334 pàgines
...To these five parts the following laws fdiscovered by Napier) apply: Tangent Law : The sine of 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. The...
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Plane and Spherical Trigonometry

Levi Leonard Conant - 1909 - 320 pàgines
...: 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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The Elements of Plane and Spherical Trigonometry

John Gale Hun, Charles Ranald MacInnes - 1911 - 234 pàgines
...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 of five things...
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The Elements of Plane and Spherical Trigonometry

John Gale HUN (and MAC INNES (Charles Ranald)), Charles Ranald MacInnes - 1911 - 234 pàgines
...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 of five things...
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Trigonometry

Alfred Monroe Kenyon, Louis Ingold - 1913 - 184 pàgines
...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 and opposite,...
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Trigonometry

Alfred Monroe Kenyon, Louis Ingold - 1913 - 300 pàgines
...both 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 Édouard Moritz - 1913 - 562 pàgines
...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 - 1917 - 196 pàgines
...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 - 1917 - 344 pàgines
...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: With Stereographic Projections

James Atkins Bullard, Arthur Kiernan - 1922 - 252 pàgines
...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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