304 



Y. KOGA & O. Y AM AG ATA. 



Then from the nature of segregation in the coin, it will he readily 

 seen that, c — c'; a=a ; b = b' = b" = b"' ; and d = d'=d" — d!". 

 Therefore the small punched out circles at a,b," b'" = the same at 

 a,'b,b'; and the circles at c ,d,d" = thc same at c'.d.d". In the same 

 way it may be shown that the circles at e,g, /, have their equivalent set. 

 Now by interpolation from a curve based on the numbers in 

 Figure 5, we get the fineness of the parts marked a, b.c &c. on the ideal 

 composite coin as follows : 



a = a = 899-0 



b = /)' = b" = b'" = 90O8 



c = c = 902-3 



d = d' = d" =d'" == 899-3 



e = 901-7 



/ = 899-9 



g = 899-1 



The three punchings may be any one of the sets above indicated 

 or those lying between them; the resulting fineness of the sample 

 will lie nearly identical with each other and with the exact fineness 

 of the composite coin, as shown in Table IV. 



Table IV. 



Showing the Fineness of three portions in the 

 ideal composite Coin of fineness 900-3. 



