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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. "
Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... - Page 132
by Simon Newcomb - 1882 - 104 pages
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1887 - 196 pages
...remaining two the opposite parts. Then Napier's rules are : 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 cf the cosines of the opposite parts. 146. Napier's rules may be proved by...
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The Essentials of Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1887 - 200 pages
...opposite parts. Then Napier's rules are : I. ТЫ sine of the middle part is equal to the product of t/ie tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts. 146. Napier's rules may be proved by...
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Elementary Trigonometry, Plane and Spherical

Edwin Pliny Seaver - Trigonometry - 1889 - 306 pages
...со В are the opposite parts. These are Napier's rules: ( i ) The sine of a middle part is equal to the product of the tangents of the adjacent parts. (ii) The sine of a middle part is equal to the product of the cosines of the opposite parts* To prove these rules, let...
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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 1. —...
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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 1. —...
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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 1. —...
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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. That Napier's...
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New Plane and Spherical Trigonometry

Webster Wells - Trigonometry - 1896 - 308 pages
...remaining two the opposite parts. Then Napier's rules are : 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. \ 142. Napier's rules may be proved by...
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Elements of Trigonometry: Plane and Spherical

Andrew Wheeler Phillips, Wendell Melville Strong - Trigonometry - 1898 - 362 pages
...sin comp C=cos compjS cose. Napier's rules may be stated : 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 t he product of the cosines of the opposite parts. 84:. In the right spherical triangles...
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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 aid the...
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