 | Horatio Nelson Robinson - Navigation - 1878 - 564 pages
...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 of the cosines of the opposite parts.... | |
 | Henry Nathan Wheeler - Plane trigonometry - 1878 - 198 pages
...margin. To each part there are two adjacent and two opposite parts. The rules are as follows : (1.) The sine of any part is equal to the product of the (f)angents of the (a)djacent parts. (2.) The sine of any part is equal to the product of the (c)osines... | |
 | Eugene Lamb Richards - Trigonometry - 1879 - 232 pages
...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 of the opposite parts. Let ABC... | |
 | Michael McDermott - Civil engineering - 1879 - 540 pages
...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 comp. A. Sin. comp. c. Sin. comp.... | |
 | George Albert Wentworth - 1887 - 346 pages
...called adjacent parts, and the other two are called opposite parts. Rule I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. Rule II. The sine of the middle part is equal to the product of the famines, of the opposite parts.... | |
 | Webster Wells - Trigonometry - 1887 - 200 pages
...parts, and the 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. 146.... | |
 | George Albert Wentworth - 1887 - 372 pages
...called adjacent parts, and the other two are called opposite parts. Rule I. The sine of the middle part is equal to the product of the tangents of the adjacent pqrte. Rule II. The sine of the middle part is equal to the product of the cosines of the opposite... | |
 | Thomas Marcus Blakslee - Trigonometry - 1888 - 56 pages
...opposite angles, and the complement of the hypotenuse. His rules are : RULE I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. By (1) (6) sin a = sin A sin h = tan 6 cot B sin b — sin B sin A = tan a cot A cos A= sin .B cos... | |
 | Edwin Pliny Seaver - Trigonometry - 1889 - 306 pages
...parts, while a and 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... | |
 | George Albert Wentworth - Surveying - 1891 - 290 pages
...called adjacent parts, and the other two are called opposite parts. Rule I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. Rule II. The sine of the middle part is equal to the product of the cosines of the opposite parts.... | |
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I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. 
