1909.] BETWEEN PARALLEL COXDUCTIXG CYLINDERS. 159 



as the other; i. e., 2/17 absohm-cm. Moreo\\:r, the hnear resist- 

 ance of any curvilinear element, such as between qr on one cylinder, 

 and iiv on the other, in the ys system, is equal to the linear resist- 

 ance between the parallel electrodes qr and iiv on the rectilinear 

 Z'w system (io/tt absohm-cms. with unit resistivity). 



e- .^° 412 ti2 *^2 , . . , , 



Fig. 8. Graphical comparison of (f-j-zt/V — i) and of tanh {v -\-wy/ — i). 



In Fig. 8, a = OA = i ; but it is easy to see that the proposi- 

 tion of equal linear resistances, conductances and capacities betw-een 

 corresponding conductors in the double-cylinder and corresponding 

 rectangular slab systems, is independent of the magnification in 

 the diagram. 



