 | Eugene Lamb Richards - Trigonometry - 1879 - 232 pages
...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 of the opposite... | |
 | Michael McDermott - Civil engineering - 1879 - 540 pages
...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 comp. A. Sin.... | |
 | George Albert Wentworth - Trigonometry - 1882 - 160 pages
...immediately adjacent are 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 aAjacent parts. Rule II. The sine of the middle part is equal to the product of the cosines of... | |
 | Webster Wells - Trigonometry - 1887 - 196 pages
...the adjacent 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 cf the cosines of the opposite... | |
 | George Albert Wentworth - 1887 - 346 pages
...immediately adjacent are 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... | |
 | Thomas Marcus Blakslee - Trigonometry - 1888 - 56 pages
...complements of the 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... | |
 | Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...Theorems X and XI are known as Napier1s Analogies. THEOREM XII. In any right spherical triangle, the sine of the middle part is equal to the product of the tangents of the adjacent parts. For, sin b cot с — sin A cot С „7 „ ._ .,.,. cos A = ; . . . Th. II, Cor.... | |
 | Webster Wells - Trigonometry - 1896 - 236 pages
...the adjacent 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 parís. II. The sine of the middle part is equal to the product of the cosines of the... | |
 | William Chauvenet - Geometry - 1896 - 274 pages
...considered, the two sides including it are regarded as adjacent parts. The rules are : I. The sine of the middle part is equal to the product of the tangents of the adjacent farts. II. The sine of the middle part is equal to the product of the cosines of the opposite... | |
 | English language - 1897 - 726 pages
...application of the rules : « a = b b sin A = tan A. tan B cos A = C sin B = c a cos B = a C 1 The sine of the middle part is equal to the product of the tangents of the adjacent parts. 2 The sine of the middle part is equal to the product of the cosines of the opposite... | |
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I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. 
