10 



PROCEEDINGS OF THE AMERICAN ACADEMY 



For iuleTpolatiiig to sixtli.s, pulling to = G, we get 

 5i 



(17.) 



8, 



= A 



"5 



For interpolating to eighths, putting © = 8, we get 



+ 51 

 + 3 



+ 1 



— 1 



— 3 



— 5J 



YB 



(18.) 



"1 



§6 



= A 



> B 



"8 J 



For interpolating 



^3 



(19.) 



04 



83 



For interpolating 



Si 



82 

 S3 

 S4 



(20.) 



Sio 



+ 7 

 + 5 

 + 3 



+ 1 



— 1 



— 3 



— 5 



— 7 

 to tenths, putting w = 10, we get 



+ 9 

 + 7 



+ 5 

 + 3 



+ 1 



— 1 



— 3 



— 5 

 . — 7- 



— 9 

 to twelfths, putting co = 12, we get 



+ 11 

 + 9 

 + 7 

 + 

 + 

 + 



= A 



YB 



> =A-\-C 



5 

 3 

 1 

 1 



3 



5 



7 



9 



11 J 



+ 5 



— 1 



— 4 



— 4 



— 1 

 + 5J 



+ 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 

 



+ 4 

 + 9 



>2G. 



ysa 



y&a 



>6 0. 



