 | John Daniel Runkle - Mathematics - 1860 - 590 pages
...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 tangents of the adjacent parts.... | |
 | Edward Olney - Trigonometry - 1885 - 222 pages
...coщр т ? To o? Ion? NAPIER*S RULES118 Hule I- Prop- — In any right angled spherical triangle, the sine of the middle part equals the product of the cosines of the opposite ex\ъ tremesDEM — In the spherical triangle BАC, right angled at A, taking b, c, comp B, comp C,... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...To o? To n? F1e. 43. RAPIER'S RULES. 118, Rule I. Prop. — In any right angled spherical triangle, the sine of the middle part equals the product of the cosines of the opposite extremes. DEM. — In the spherical triangle BAC, right angled at A, taking b, e, comp B, comp C, and... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...comp mf To of To n? NAPIER'S RULES. 118, Jlule I. Prop. — In any right angled spherical triangle, the sine of the middle part equals the product of the cosines of the opposite extr ernes. DEM. — In the spherical triangle BAC, right angled at A, taking b, c, comp B, comp C,... | |
 | Edward Olney - Trigonometry - 1877 - 220 pages
...comp m ? To о? Ton? NAP1ER'S RULES. 118, Rule I. Prop. — In any right angled spherical triangle, the sine of the middle part equals the product of the cosines of the opposite extremes. DEM. — In the spherical triangle ВАC, right angled at A, taking b, c, comp B, comp C,... | |
 | Simon Newcomb - Trigonometry - 1882 - 372 pages
...Napier's rules are : I. The sine of the middle part equals the product of the tangents of the adjacent parts. II. The sine of the middle part equals the product of the cosines of the opposite parts. The concurrence of the vowel a in tangent and adjacent, and of the vowel o in cosine and opposite,... | |
 | Webster Wells - 1883 - 298 pages
...Napier's rules are : The sine of the middle part equals the product of the tangents of the adjacent parts. The sine of the middle part equals the product of the cosines of the opposite parts. 220. These may be proved by taking each of the circular parts in succession as the middle part, and... | |
 | De Volson Wood - Trigonometry - 1885 - 298 pages
...B = tan b tan c' sin B= cos b cos A' = tan a tan c' A . These stated as follows are Napier's Rules: The sine of the middle part equals the product of the cosines of the opposite extremes. The sine of the middle part equals the product of the tangents of the adjacent extremes.... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...are : (1) The sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle part equals the product of the cosines of the opposite parts. NOTE 1. — It will assist the student in remembering these rules to notice the occurrence of the vowel... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 202 pages
...are . (1) Tlie sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle part equals the product of the cosines of the opposite parts. NOTE 1. — It will assist the student in remembering these rules to notice tbe occurrence of the vowel... | |
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The sine of the middle part equals the product of the tangents of the adjacent parts. (2) The sine of the middle part equals the product of the cosines of the opposite parts. 
