46 



SECTJLAR VARIATIONS OF THE ELEMENTS OF 



For the root g b , we get the following values, 

 g b =2". 7276680; 

 JV 5 =+ 0.2886746^^ 

 N 5 =+ 0.2816212iV 5 jr 

 iV 5 " =+ 0.296961W F 

 N t m =+ 0.3989168iV 5 /r 

 N S T =+ 0.9103832^^ 

 JV r 6 "=+15.29957iV r 6 Ir " 

 N™=— 1.497633iV 5 jr 



For the root g m we get the following values, 

 # 6 =3".7167141 ; 

 iV 6 =+0.5652238iV/ F 

 JV 8 ' =+0.3828501^ 

 JV 6 " =+0.3770050iV/ F 

 N? =+0.4350723iV 6 JF 

 N/ =+0.7901118iV 6 /F 

 iV 6 "=— 1.039307iV/ F 

 i\r 6 "=+0.03290417iV 6 /F 



For the root g 7 , we get the following values, 

 ^/ 7 =22".4608918; 

 N 7 =— 0.006358233iV 7 JF 

 Nj' =+0.02171584iV 7 7r 

 N 7 " =— 0.15366412V 7 JF 

 JV/" =— 0.9634742iV/ F 

 JV 7 F =—3.091784^ 

 JV 7 F/ =+0.11547102V 7 JF 

 2V 7 F/ =+0.00872848iV 7 /F 



log. 9.4604086 



" 9.4496654 



" 9.4726996 



« 9.6008823 



" 9.9592242 



" 1.1846793 



" 0.1754053ra 



log. 9.7522204 

 9.5830288 

 9.5763472 

 9.6385614 

 9.8976886 

 0.0167438w; 

 8.5172509. 



log. 7.8033365m; 

 8.3367766; 

 9.1865723w 

 9.9838401m 

 0.4902090h 

 9.0624732; 

 7.9409386. 



25. We must now substitute the numbers we have computed, in the last article, 



7/V /yyi / yyi! 



in equations (134) and (135); making use of the logarithms of — r Ji,— r f, -^ &c, 



which were used for the adopted masses, but using the following values of log. 



m 

 na 



, m-. 

 log. — h. 

 na 



log. — I. 

 na 



log. —=87.3921041 ; log. ™A=86.6903449 ; log. ™Z= 

 & na na na 



=86. 1148475. 



For the root #=5".344676, we get, 



4618325 ._ , 259345 AT 



■N-, y=-\ — jQ^~ ; 



27356380 



W 



1Q 20 -' » V— I 1Q 20 - ' - T" 1Q 2 



Whence £=86° 47" 9"2; and log. #=9.2281141. 



N =+0.1690885; N ir =— 0.0000198; 



N' =+0.0174481; N r =-0.0000175; 



N « =+0.0110355; N TI =+0.00000805; 



N "> =+0.0016926 ; N ri =+0.0000001 27. 



