208 Mr. 0. Heaviside on the 



put Ej = E 2 , E 3 =E 4 , and L, = L 2 ; then the two conditions 



are 



0=L 4 -L 3 +(1 + E 4 /E 1 )(M 14 -M 23 + M 51 + M 52 + M 5 3 + M 54 + 2M 56 ) 



+ 2(M 46 -M 36 ) + (1-E 4 /E 1 )(M 24 -M 13 ) +2(E 4 /E 1 )(M 16 -M 26 ); (83c; 



= L 1 (L 4 -L 3 ) + L 3 (M I2 + M 14 + M 16 + M 52 + M 54 + M 56 -M M -M 26 ) 



+ L 4 (M 13 + M 16 + M 16 + M 53 + M 56 - M 12 - M 23 - M 26 ) 

 + L!(M 41 + M 42 + M 61 + M 52 + M 53 + M 54 -M 31 - M 32 + 2M 46 + 2M 56 -2M 36 ) 

 + (M 13 + M 15 + M 16 + M 53 + M 56 -M 21 -M 23 -M 26 ) 



x (M 42 + M 46 + M 54 + M 52 + M 56 -M 32 -M 31 -M 36 ) 

 + (M 41 + M 43 + M 46 + M 51 + M 53 + M 56 ~M 31 -M 36 ) 



x(M 24 + M 26 -M 12 -M u -M 16 -M 52 -M 54 -M 56 ); (84c 



which are convenient for deriving the conditions when several 

 M's are operative at the same time. Thus, one at a time, 

 excepting the few already examined : — 



M, 



M 



52 



M 



53 



M 



54 



M, 



M 



16 



M. 



26 



M 



-13 



M. 



M 



14 



M 



23 



fO=L 4 -L3 + M 61 (l + B 4 /R,) ) 

 ■|0=L 4 -L 3 +M 6l (l + L 4 /L 1 ) /' 



J0=L 4 -L 3 + M 52 (1+R 4 /R I )) 

 •to=L 4 -L s + M 62 (l + L3/L,) ]' 



fO=L 4 -L 3 + M 63 (l + R I /R 1 )) 

 'to = L 4 -L 3 + M 63 (l + LVL 1 ) y 



|0 = L 4 -L 3 + M S4 (l + R 4 /R 1 )j 



'{0=L 4 -L 3 + M 54 (1 + L 3 /L 1 )/' 



|0 = L 4 -L 3 + 2M 66 (H-R 4 /R I ) ) 



•to=L 4 -L3 + M 56 {2 + (L 4 +L 3 )/L,} / : 



|0=L 4 -L 3 + 2M 16 R 4 /R 1 

 •|o = L 4 -L 3 + M 16 (L 3 + L 4 )/L 

 J0 = L 4 -L 3 -2M 26 R 4 /R, \ 



L 4 -L 

 L 4 -L 

 |0 = L 4 -L 3 + M 24 (1--R 4 /R 1 ) 

 '|0=L 4 -L 3 + 



fO=L 4 -L 3+ M 14 (l + E 4 /R,) ) 



"l0 = L 4 -L 3 -hM 14 (l + L 3 /L 1 )-MyL 1 J' 

 • Ls-M^tl + RvR,) ) 



■L 3 -M 23 (l + L 4 /L 1 ) + MyL 1 y 



_(0=L 4 -L 3 -M 13 (1-R 4 /R 1 ) ) 

 (0=L 4 -L 3 -M 13 (1-L 4 /L 1 ) y 



y I 



|0 = L 4 

 (0=L 4 



(85c) 



(86c) 



(87c) 



(88c) 



(89c) 



(90c) 



(91c) 



(92c) 



(93c) 



(94c) 



(95c) 



