74 Proceedings of the Royal Society of Victoria. 



where 



]\r =1+2^ |(,x%,-.>v.)Sin</) + -Cos<^ | + &' f (,«„., -xv)" + ^| 



and X'-^i.,= 1 + ^jJi^CosS + .x-j./ (as before). 



Combining equations (XII.) and (IX.), we have 



4_='^i 1 (XIII.) 



and as the iron loss (see § 14), 



Hg^^jf — -SinS, 



we find by means of equation (XIII.), that 



H, = i^' ^^SinS. (XIV.) 



-/-in D- 



65. The primary copper loss Hj being 

 we find by equation (VI.), § 62, that 



and the secondary copper loss H.^ being 

 also we find by equation (IX.), § 63, that 



Q6. The efficiency 



=Xr.,Cosc^ ^ f^ .., (see §§ 62, 63), 

 is a maximum when 



^•- = ^" (see§15)> 



and its maximum value is 

 Xig'^Cosc^ 



?i + 2v/^of2 



67. Thus, without making any assumptions as i-egards leakage, 

 all the important variables in the general theory of the trans- 



