}V. p. G. Bartlett on Interpolation in Physics and Chemisti-y. 3l 



To get out symmetrically the coefficients of (1) it is easy to 

 find that they are of the following forms: 



10+ .fee. 

 in which 



[3]=-«,_^3[l]-y3[2] [3']=-53-r3[2'] [3"> 



EXAMPLE, 

 [Lowel's Solubility of Anhydrous NaO SO3 in water, 

 t-50«.-^«na/« (fe CAimie ft Physique, 



\ 



_,/ j t 



r^ 



.3 



y' 



At j A/^ 1 Ai3 j 





1542 

 1296 

 7725 



2500 

 2400 



1700 



^9 85 



34-42 



1184-7 

 87241 



- 32768 

 13824 



4096 



- 122 



+ 93482 



+ 487-5 



293-5 



115-5 

 + 40-5 



-3935 



15-684 

 11-684 



+ 4-716 

 14106 

 24-926 



38-736 



+ 0004 



+ 400-9 



6261 



527-3 



+ 2203-9 



1 2833-3 



- ^ 1 



20501 



10773 

 6799 



+ 2078 

 + 143687 







I 





A^t= 



A-t3 



y'" A-t- 



y"^ 





' 2'(+) 

 1 ^!^^ 



24-8 



48-7 

 37-3 

 65-6 



- S 



+ "0 



+-6-8r2 



+ 2436 



3580 



6029 

 22610 



+ 74884 



^'■' -IS 



+ 4-9 12326 



'li ^ 1 



-I5I 7542 

 + ^1-5 - il7 



+ 16-2 +46687 

 '+ 2 





-=:^i?7^ 



73=+ 17-447 

 at= 4837-6 

 »= - 14057 



€=+ 0-1352 

 ©=+0-000111 



