446 Dr. Kaemtz on the Augmentation of 



ing the value of x. It is clear, namely, that E must be equi- 

 persistent for the same electromotor, and for the same fluid. 

 Now if the angle, which the connecting wire forms with the 

 magnetic meridian, is at one time J, at another d', in the same 

 manner the angle of repulsion at one time c, at another c' \ 

 then in the first case : 



and in the second case 



E= ^■^, ^/ Cv' + sin.^ (c'-ri'))M; 



COS. (,c' — rt ) \ ^ '/ 



therefore 



or, ^-^, ( .r^ + sin.* ic — d) ) 



sin.^c' / g ■ , / / 7/\\ 



= —, — ;;; { X' + Sin.* (c —d) ). 



Whence 



6 



"" cos.Vc'-rf')/^ " 



^cos.'i [c—d) COS.'' (c 



= sin.* c' tang. *(c'— f/') — sin.* c tang.* {c — d) ; 

 and therefore 



l^sin.-c'. tang.' (c'— d')— sin.^c tang.« (c — d)| 



J cos.'^(c—d). COS. •*{£' — d') 



sin. ^ c. cos. - (c'—d') — sin. ^ c'. cos. '^ (c — dj 



Now, in order to determine this value of x in my experi- 

 ments, I gave various values to the angle d, and observed the 

 corresponding angle c. My experiments were the following, 

 and were made vvith two electromotors. 



If the equations for the angles in A be calculated first, and 

 the equation for </=— 20 placed in a series like the others, 

 and the same be done with the angles in B, then we obtain, 

 0-17881j"*4-0-001 3134 = 0-14943 ^*+0-0066736n 

 0-17881.r=4-0-0013134 = 0-10557 ^•*+0-0100813 I from 

 0-17881x*+0-0C13134 = 0-077243^'*+0-013419 ( A. 

 0-1788Lr*+0-0'Jl3134 = 0-055203x*+0-015114 J 

 0-3021 9^'*+0-01876J) =0-24214 .r-4.0-022915 S from 

 0-30219x*_f-0'018769 =0-17527 a*4-0-026138 V B, 

 0-30219.r*+0-018769 =0-12070 .r*+0-026398 j 



Addiiiir 



