Measures for Electric and Magnetic Quantities. 391 



symbol v. d., the initials of valor dynamicus. Thus, v. s. [m d ~\ 

 denotes the value measured according to static measure of the 

 dynamic unit of magnetism, and v. d. [m s ] the value mea- 

 sured according to dynamic measure of the static unit of mag- 

 netism. 



With the aid of these symbols we can now express the above 

 result as follows: — 



v. s. [m j _ [m/j _ K ,^. 



[>.] v.d.[mj [LT- 1 ]" ' l ' 



In accordance with this, and employing the before-given 

 formulae for \_m s ~] and [m d ], the following two pairs of equa- 

 tions for the two systems of measurement can be formed: — 



[>/] = [M*lJT- 2 ]; v.s. [m d ] = [M*LtT- 1 ]K; . (18) 



*■"<*■ [mJ = [M*L*T" a ]K- 1 ; OJ^MWT" 1 ]. . . (19) 

 From these equations corresponding equations for the units 



of the other quantities can also be derived. 



As to the quantity e, we can put, in accordance with (3 a) 



and (3b), 



W = [^][L- 1 T], M^MLL-'T], 



and hence also 

 v.d. M=v.d. [mJLL-'Tl, v.s. M=v.s. K][L-T]. 



By employing these values we obtain from the preceding 

 equations: — 



▼.s. M _ M _ K 



[e s ] ~v.d. [^"[LT" 1 ]' (2U) 



M=[M*L*T- 1 ] ; v.s.[>J = [M*L*]K, . (21) 



v.d. [eJ = [M*L*T- 1 ]K- 1 ; [e d ] = [M*L*]. . (22) 



From these equations we get for i, conformably with (8) 

 and (9): — 

 v. s. [i d ] _ [u] _ K 



PJ "v.^PJ-ixtt 1 ]' C } 



[VJ=PC*L*T-.^; v.s. [»J = [M*L*T- 1 1K, . (24) 

 v.d. [*J = p^L*r-*]K- 1 ; [y = [M*L^T- 1 ]. . (25) 



For E we get, from the equations for e in conjunction with 

 equations (11) and (12): — 



v. b. [E„] _ [E,] _ [LT- 1 ] , m . 



