( 196 ) 



may be much more easily brought about than by operating directly 

 with the variations of the original coefficients ^). 



After the first preliminary formula was calculated all the 28 

 observations have subsequently been represented. The values thus 

 found are designated by R^- The deviations of the observed values 

 from those derived from this first formula are given in column III 

 of table VIII under the heading W — R^. The deviations from the 

 temperatures in the immediate neighbourhood of each other have 

 been averaged to normal differences and are combined in column 

 IV under the heading (W—R,). 



These deviations have served as a basis for an adjustment under- 

 taken according to the principles discussed above. 



It yielded the following results : 

 leaving — 253° and — 259^ out of consideration we find as co- 

 efficients of the equation {B) (comp. § 11): 



a^— ^4.32044 e, = + 0,011197 . 



b, = -]- 0,388466 /, = — 0,00446381 .... (BIV) 



c, — - 0.024019 ) 



If we only leave out of consideration — 259° we find for the 

 coefficients of equation {B) the two following sets (comp. §11): 

 a^ — _|_ 4.33049 ^3 = + 0,053261 



^3 r= + 0.436676 ƒ3 =+ 0,003898) . . . {BUI) 



C3 = + 0,048091 



and 



a, — -\- 4.35603 e, — -\- 0,103459 



6j= + 0,531588/i = -f 0,0118632j {BI) 



c, = + 0,157678 



If we include in the equation all the temperatures, also that of 

 the liquid hydrogen boiling under reduced pressure, we find for the 

 coefficients of the equation {B) 



a^—4_ 4.35905 «, = + 0,111619 | 



6, = + 0,542848 ƒ, = + 0,01321301 . . . {BII) 



C3 = + 0,172014 ] 



The deviations from the observations shown by these diff'erent equa- 

 tions are found under {W—R,) {W—R,) ( IF— A\) and ( TF— A\) in 

 columns V, VI, VII and VIII of table VIII. 



1) When the polynomial used contains successive powers of the variable beginning 

 with the first power, that influence is determined by the interpolation-coefficients 

 of Lagrange. 



