APPENDIX. 283 



Assuming p = 0, we find 



r = 208.42561 



TO = 200. 

 T T O = 8.42561 



w = 110 24 46&quot;.69 

 AI(V T )=+l14 42&quot;.42 

 **(* *o) 2 = - 2 20&quot;.19 

 ,1 3 (T-T ) 3 = + 4&quot;.76 



At (T T ) 4 = Q&quot;.16 



v = 111 37 13&quot;.52 

 or 



r = 208.42561 



T = 210. 

 T TO = 1.57439 



t o = 111 50 16&quot;.87 

 Ai(r T O ) = - 12 58&quot;.96 



T O ) = - 4&quot;.35 



T ) 8 = - 0&quot;.03 

 _ r * = _ O^.OQ 



t; = 111 37 13&quot;.53 



The latter form of calculation is to be preferred because the value of T T O 

 is smaller, and therefore the terms depending on (T r ), (T T ) 2 , (T T ) 3 , are 

 smaller, and that depending on (T T ) 4 is insensible ; and it is the only form 

 of which all the appreciable terms are to be found in the table. 



Beyond T = 40000, the limit of the table, we can use the formula, 



v = 180 - - [6.0947259] Q* [6.87718] Q [7.313] (^) f , etc., 



in which the coefficients expressed in arc are given by their logarithms. 

 For T = 40000, for example, we have 



v = 180 10 6 6&quot;.87 3 8&quot;.4 1 0&quot;.44 

 = 169 50 44&quot;.28. 



If v is given, and it is required to find T, we have 



