10 



PROCEEDINGS OF THE AMERICAN ACADEMY 



Fur interpolating to sixth.-, putting w = G, we get 



(17.) 



> =A 



83 



85 

 S 6 J 

 For interpolating 



*T 



8, 



f £ 



(18.) 



"3 

 84 



= 4 



>j3 



(19.) 



08 J 



For interpolating 



Si 

 8 2 

 83 

 84 

 S 5 



s 6 



S3 

 .89 



810 J 

 For interpolating 



Si " 



82 



S3 



84 



8 5 



S 6 



87 



(20.) 



+ 5 1 

 + 3 



+ 1 



— 1 



— 3 



— 5 

 to eighths, putting «■> = 8, we get 



+ 7' 

 + 5 

 + 3 



— 1 



— 3 



— 5 



— 7 

 to tenths, putting w = 10, we get 



+ 91 

 + 7 

 + 5 

 + 3 



— 3 



— 5 



— 7 



— 9 

 to twelfths, putting w = 12, we get 



+ 11 ! 



+ 9 

 + 7 

 + 

 + 

 + 



>B 



> =A+C 



°8 



8 9 

 S10 

 8„ 

 Si J 



5 

 3 

 1 

 1 

 3 

 5 

 7 

 9 

 11 



r b 



+ 5 



— 1 



— 4 



— 4 



— 1 



+ 5 



+ 7 



+ 1 



— 3 



— 5 



— 5 



— 3 



+ 1 



+ 7 



+ 6 

 + 2 



— 1 



— 3 



— 4 



— 4 



— 3 



— 1 

 + 2 

 + 6J 



+ 9 



+ 4 







— 3 



— 5 



— 6 



— 6 



— 5 



— 3 

 



+ 9J 



>2G. 



>3C. 



U a 



H a 



