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" The sine of the middle part equals the product of the tangents of the adjacent parts. "
Elements of Trigonometry, Plane and Spherical - Page 77
by Edward Olney - 1872 - 201 pages
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A Practical Text-book on Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1883 - 234 pages
...then called the adjacent parts, and the remaining two the opposite parts. Then, Napier's rules are : The sine of the middle part equals the product of the tangents of the adjacent parts. The sine of the middle part equals the product of the cosines of the opposite parts. 220. These...
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Trigonometry: Analytical, Plane and Spherical; with Logarithmic Tables

De Volson Wood - Trigonometry - 1885 - 298 pages
...Napier's Rules: The sine of the middle part equals the product of the cosines of the opposite extremes. The sine of the middle part equals the product of the tangents of the adjacent extremes. To aid the memory in recalling these rules, it may be observed that the vowels are the same in the...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - Trigonometry - 1894 - 206 pages
...co. с are the adjacent parts, and a and co. B are the opposite parts. Then Napier's Rules are . (1) The sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle pan equals the product of the cosines of the opposite parts. NOTE...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...с are the adjacent parts, and a and со. B are the opposite parts. Then Napier's Rules are : (1) The sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle part equals the product of the cosines of the opposite parts. NOTE...
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Elements of Plane and Spherical Trigonometry: With Numerous Examples

Edward Albert Bowser - Trigonometry - 1892 - 202 pages
...are the adjacent parts, and a and со. B are the opposite parts. Then Napier's Rules are . (1) Tlie sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle part equals the product of the cosines of the opposite parts. NOTE...
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A Treatise on Plane and Spherical Trigonometry

Ephraim Miller - Plane trigonometry - 1894 - 222 pages
...comparison of Figs. 28 and 29 will show that Ntger's Rules apply in either case. 92. Napier's Rules. 1. The sine of the middle part equals the product of the tangents of the adjacent parts. 2. The sine of the middle part equals the product of the cosines of the opposite parts. 93....
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Plane and Spherical Trigonometry

Elmer Adelbert Lyman, Edwin Charles Goddard - Trigonometry - 1900 - 228 pages
...the adjacent parts, and 900 — c, 90 — A the opposite parts. Napier's Two Rules are as follows : The sine of the middle part equals the product of the tangents of the adjacent parts. The sine of the middle part equals the product of the cosines of the opposite parts. It will...
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Lecture Notes on General and Special Mineralogy

Frank Robertson Van Horn - Crystallography - 1903 - 704 pages
...triangles which may be inscribed in the ground-form and solved by Napier's rules, which are as follows: the sine of the middle part equals the product of the tangents of the adjacent parts; the sine of the middle part equals the product of the cosines of the opposite parts. In the...
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A Complete Epitome of Practical Navigation, and Nautical Astronomy ..., Volume 1

John William Norie, J. W. Saul - Nautical astronomy - 1917 - 642 pages
...said that ZA is the middle part and the sides b and c the adjacent parts. Napier's first rule says the sine of the middle part equals the product of the tangents of the adjacent parts. That is — Sine A = tan. bx tan. c bat as the complements of A and side 6 are to be taken the...
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Plane and Spherical Trigonometry

Leonard Magruder Passano - Trigonometry - 1918 - 330 pages
...each is a middle to two adjacent parts and a middle to two opposite parts. NAPIER'S RULES state I. The sine of the middle part equals the product of the tangents of the adjacent parts. II. The sine of the middle part equals the product of the cosines of the opposite parts. co-A...
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