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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 ... - Página 132
por Simon Newcomb - 1882 - 104 páginas
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An Introduction to Astronomy: Designed as a Textbook for the Use of Students ...

Denison Olmsted - 1839 - 276 páginas
...if A is the middle part, the opposite parts are a and B. Napier's rule is as follows : Radius into the sine of the middle part, equals the product of the tangents of the adjacent extremes, or of the cosines of the opposite extremes. (The corresponding vowels are marked to aid the...
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An Introduction to Astronomy: Designed as a Textbook for the Use of Students ...

Denison Olmsted - 1839 - 276 páginas
...if A is the middle part, the opposite parts are a and B. Napier's rule is as follows : Radius into the sine of the middle part, equals the product of the tangents of the sdjaeent extremes, or of the cosines of the opposite extremes. (The corresponding vowels arc marked...
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An Introduction to Astronomy: Designed as a Textbook for the Use of Students ...

Denison Olmsted - 1839 - 276 páginas
...the middle part, the opposite parts are a and B. Napier's rule is as follow* : Radius into the fine of the middle part, equals the product of the tangents of the adjacent extremes, or of the cosines of the opposite extremes. (The corresponding vowels are marked to aid the...
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An Elementary Treatise of Spherical Geometry and Trigonometry

Anthony Dumond Stanley - 1848 - 122 páginas
...next to this and separated by it are called the adjacent parts, and the other two the opposite parts. The SINE of the MIDDLE part, equals the product of the TANGENTS of the ADJACENT parts, and equals the product of the COSINES of the OPPOSITE parts. This proposition may be more easily remembered,...
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - 1852
...sides including it are regarded as adjacent. The 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. The correctness of these rules will be...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...then it will be found that all the formulas of the last article are included in the following rule. " The sine of the middle part equals the product of the tangents of the adjacent parts, and also equals the product of the cosines of the opposite parts ; " Or, Sin. mid. = tan. ad. = cos....
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PLANE AND SOLID GEOMETRY

GEORGE R. PERKINS - 1856
...five parts is chosen as the middle part. NAPIER'S RULES, 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. If now we take in turn each of the five...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - 1860 - 443 páginas
...chosen as the middle part. 90°-B 90° -T NAPIER'S RULES. 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. If now we take in turn each of the five...
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The Mathematical Monthly, Volumen2

John Daniel Runkle - 1860
...spherical triangle being placed on the circumference of a circle, NAPIER'S Bules are as follows : — RULE I. The sine of the middle part equals the product of the cosines of the opposite parts, RULE II. The sine of the middle part is equal to the product of the...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - 1861 - 490 páginas
...whatever be the middle part, we have as THE RULES OF NAPIER. 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 tJie cosines of the opposite parts. 168. Napier's rules may be proved by...
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