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Books Books 31 - 40 of 110 on I. The sine of the middle part is equal to the product of the tangents of the adjacent....
" I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. "
An Elementary Treatise on Plane & Spherical Trigonometry: With Their ... - Page 156
by Benjamin Peirce - 1845 - 449 pages
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Plane and spherical trigonometry. [With] Solutions of problems. [Followed by ...

Henry William Jeans - 1873
...selected is called the middle part. Eule A will apply to the former case, Eule B to the latter. EULE A. The sine of the middle part is equal to the product of the tangents of the two parts adjacent to it. * The complement of an angle is what it wants of 90° ; thus,...
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Navigation - 1864 - 490 pages
...90°— h, b. 9. 90°— h, 90°— P, b. 10. 90°— P, 90°— B, p. 126. Napier's Principles. 1. The sine of the middle part is equal to the product of the tangents of the adjacent parts. Draw BD and DE, respectively perpendicular to OH and OP, and draw BE....
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Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - Measurement - 1864 - 490 pages
.../< = sin (90°- A). . . . (5) sin (9<P— A) = tan (90°— B) tan (90°- P). 2. TVtf si.nf of </ie middle part is equal to the product of the co-sines of the opposite parts. OE=cos EOD X #£>, or cos h — cos b cos p. .-. (6) sin (90°— h) = cos 6 cos p....
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Key to Robinson's New Geometry and Trigonometry, and Conic Sections and ...

Horatio Nelson Robinson - 1875
...will be two adjacent parts, and two opposite parts. Then we can easily remember, that 1st. Radius into the sine of the middle part, is equal to the product of the tangents of the adjacent parts. 2d. Radius into the sine of the middle part, is equal to the product...
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Plane and Spherical Trigonometry and Mensuration

Aaron Schuyler - Measurement - 1875 - 184 pages
...90°— Л, b. 9. 90°— A, 90'— P, b. 10. 90°— P, 90°— B, p. 126. Napier's Principles. 1. The sine of the middle part is equal to the product of the tangents of the adjacent parts. Draw BD and DE, respectively perpendicular to OH and OP, and draw BE....
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 170 pages
...are called the opposite parts. Then, whatever be the middle part, we have as THE RULES OP 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 the cosines...
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A New Treatise on Surveying and Navigation, Theoretical and Practical: With ...

Horatio Nelson Robinson - Navigation - 1878 - 512 pages
...that it corresponds to one of the following invariable and comprehensive rides. 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 io> the product...
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The Elements of Plane and Spherical Trigonometry

Eugene Lamb Richards - Trigonometry - 1879 - 300 pages
...adjacent parts are a, 90°—b; opposite parts are c, 90°— A. 115. Napier's rule of the Circular Parts. The sine of the middle part is equal to the product of the tangents of the adjacent parts; and the sine of the middle part is equal to the product of the cosines...
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THE CIVIL-ENGINEER &SURVEYOR'S MANUAL

MICHAEL McDERMOTT C.E. - 1879
...angle. We will arrange Napier's rules as follows, where co. = complement of the angles or hypothenuse. Sine of the middle part, Is equal to the product of the tangents of the adjacent parts. Is equal to the product of the cosines of the opposite parts. Sine...
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Plane and Spherical Trigonometry

George Albert Wentworth, George Anthony Hill - Trigonometry - 1882 - 201 pages
...I. The sine of the middle part is equal to the product of the tąagents of the aąjacent parts. Rule II. The sine of the middle part is equal to the product of the cosincs of the apposite parts. These Rules are easily remembered by the expressions, tan. ad. and cos....
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