 | Henry Hunt Ludlow - Logarithms - 1891 - 322 pages
...у = сов or cos /Î + sin or sin /Î cos C. . . . (139) That is: Лиг eosine of any faec-angtt is equal to the product of the cosines of the other two face-angles, plus the product of their sines multiplied by the cosine of their included dihedral. 132.... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 202 pages
...shall still have sin DEG = sin B. 91. Law of Cosines. — In any spherical triangle, the cosine of each side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle. Let ABC be a spherical... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...still have sin DEG = sin B. 191. Law of Cosines. — In any spherical triangle, the cosine of each side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle. Let ABC be a spherical... | |
 | Edward Albert Bowser - Trigonometry - 1892 - 194 pages
...shall still have sin DEG = sin B. 91. Law of Cosines. — In any spherical triangle, the cosine of each side is equal to the product of the cosines of the other tivo sides, plus the product of the sines of those sides into the cosine of their, included angle.... | |
 | Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...since the sine of an angle is the same as the sine of its supplement. SPHERICAL. THEOREM II. In any spherical triangle, the cosine of any side is equal...product of the cosines of the other two sides, plus the product of their sines into the cosine of their included angle. Let ABC be a spherical triangle, and... | |
 | William Chauvenet - Geometry - 1896 - 274 pages
...still be valid, so that the theorem is applicable to any spherical triangle. Indeed, according to PL Trig. Art. 49, this result follows from the nature...spherical triangle, the cosine of any side is equal to th« product of the cosines of the other two sides, plus the continued product of the sines of those... | |
 | Charles Winthrop Crockett - Plane trigonometry - 1896 - 318 pages
...CHOCK. TKIG. — 9 CHAPTER IX. GENERAL FORMULAS. 121. The Cosine of Any Side of a Spherical Triangle is equal to the product of the cosines of the other two sides, increased by the product of the sines of these t1co sides multiplied by the cosine of their included... | |
 | George William Jones - Trigonometry - 1896 - 216 pages
...upon these laws. THE LAW OF COSINES. THEOR. 5. In a triedral angle : (a) The cosine of a face angle is equal to the product of the cosines of the other two face angles less the product of their sines by the cosine of the opposite diedral: ie cos a = cos b... | |
 | English language - 1897 - 726 pages
...proportional to the sines of the opposite angles. That is, sin a : sin 5= sin A : sin B The cosine of any side equal to the product of the cosines of the other two sides plus the product of their sines and the cosine of the included angle. That is, cos a=cos b cos c+sin 5 sin c... | |
 | John Fillmore Hayford - Science - 1898 - 428 pages
...proportional to the sines of the opposite sides, we may write sin z sin t Also, from the principle that in any spherical triangle the cosine of any side is equal...product of the cosines of the other two sides plus the product of their sines into the cosine of the opposite angle, we may write the two formulae, sin S... | |
| |
Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b... 
