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" ... 1. The radius into the sine of the middle part is equal to the product of the tangents of the adjacent parts. 2. The radius into the sine of the middle part is equal to the product of the cosines of the opposite parts. These rules are known as Napier's... "
A New Treatise on Surveying and Navigation, Theoretical and Practical: With ... - Page 110
by Horatio Nelson Robinson - 1878 - 512 pages
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 470 pages
...product of the tangents of the adjacent parts. 2. The radius into the sine of the middle part is equal to the product of the cosines of the opposite parts....In the application of these equations, the accent maybe omitted if tan. be changed to cotan., sin. to cosin., etc. Thus, if equation ( 13 ) were to be...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...product of the tangents of the adjacent parts. 2. The radius into the sine of the middle part is equal to the product of the cosines of the opposite parts....etc. Thus, if equation ( 13 ) were to be employed, it would be written, in the first instance, R sin. a = cos. b' cos.J.', to insure conformity to the...
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Elements of Plane and Spherical Trigonometry: With Numerous Practical Problems

Horatio Nelson Robinson - Trigonometry - 1880 - 228 pages
...product of the tangents of the adjacent parts. 2. The radius into the sine of the middle part is equal to the product of the cosines of the opposite parts....In the application of these equations, the accent maybe omitted if tan. be changed to cotan., sin. to cosin., etc. Thus, if equation (13) were to be...
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Plane and Spherical Trigonometry

George Albert Wentworth - Trigonometry - 1882 - 160 pages
...the product of the tangents of the aAjacent parts. Rule II. The sine of the middle part is equal to the product of the cosines of the opposite parts. These Rules are easily remembered by the expressions, tan. ad. and cos. op. The correctness of these Rules may be shown...
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Plane and Spherical Trigonometry: G. A. Wentworth ...

George Albert Wentworth - Trigonometry - 1884 - 330 pages
...the product of the \asigents of the aAjacent parts. Rule II. The sine of the middle part is equal to the product of the cosines of the opposite parts. These Rules are easily remembered by the expressions, tan. ad, and cos. op. The correctness of these Rules may be shown...
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Trigonometry, Surveying and Navigation

George Albert Wentworth - Navigation - 1895 - 436 pages
...the product of the i&ngents of the uaja'-ent parts. Rule II. The sine of the middle part is equal to the product of the cosines of the opposite parts. These Rules are easily remembered by the expressions, tan. ad. and cos. op. The correctness of these Rules may be shown...
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Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - Logarithms - 1897 - 384 pages
...the product of the t&ngents of the Adjacent parts. Rule II. The sine of the middle, part is equal to the product of the cosines of the opposite parts. These Rules are easily remembered by the expressions, tan. ad. and cos. op. The correctness of these Rules may be shown...
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Plane and Spherical Trigonometry and Tables

George Albert Wentworth - Trigonometry - 1903 - 346 pages
...the product of the tangents of the &Ajacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the opposite parts. These rules are easily remembered by the expressions tan. ad. and cos. op. The correctness of these rules may be easily...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth, George Anthony Hill - Logarithms - 1903 - 348 pages
...the product of the tangents of the Adjacent parts. RULE II. The sine of any middle part is equal to the product of the cosines of the opposite parts. These rules are easily remembered by the expressions tan. ad. and cos. op. The correctness of these rules may be easily...
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