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" I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. "
A System of the Mathematics: Containing the Euclidean Geometry, Plane ... - Page 60
by James Hodgson - 1723
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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
...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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Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 562 pages
...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 part is equal...
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Trigonometry

Alfred Monroe Kenyon, Louis Ingold - Trigonometry - 1913 - 184 pages
...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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Plane and Spherical Trigonometry

George Neander Bauer, William Ellsworth Brooke - Trigonometry - 1917 - 196 pages
...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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Smithsonian Miscellaneous Collections, Volume 74, Issue 1

Science - 1922 - 414 pages
...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 of opposite parts....
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Smithsonian Mathematical Formulae and Tables of Elliptic Functions

Smithsonian Institution - Elliptic functions - 1922 - 410 pages
...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 of opposite parts....
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Plane and Spherical Trigonometry: With Stereographic Projections

James Atkins Bullard, Arthur Kiernan - Trigonometry - 1922 - 252 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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Smithsonian Miscellaneous Collections

Science - 1925 - 726 pages
...The five parts are a, b, co c, co a, co ft, where co c = 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 of opposite parts....
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Great Moments in Mathematics (before 1650)

Howard Whitley Eves - History - 1983 - 292 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...
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