348 M. F. Kohlrausch on the Absolute Value of the 



it is to be observed that only one part of the directive force de- 

 pends on the terrestrial magnetism ; the other is due to the elas- 

 ticity of the wire. From the time of an oscillation (16 seconds 

 of the suspension alone), the former portion is found to be almost 

 exactly equal to half that of the second. From this there is 

 calculated from the time t observed with the arc a, the time t for 

 infinitely small oscillations, 



t = *(1 -O005. a 2 ). 



Since / in the determination of resistance was always found to 

 be nearly 34'4 seconds, and as the distance of the scale was equal 

 to 4047 divisions, the correction for the arc a divisions is found 

 to be 



"400000000 SeCOnd - 



To this very small correction must be added that from the 

 clock-error. The intervals observed must be multiplied with 

 1 —0*00017, which for 34'4 seconds gives 



-0-0059 second. 



In the four absolute measures there were found at the Nth 

 oscillation the times of reversal given in the following Table, 

 each of them calculated by Gauss's method from eight to ten 

 observed transits through the position of equilibrium. The 

 times of oscillation on the further side of the thick line follow 

 from the times which are placed over against each other. 



I 



i 



1 



N. 



Time. 



N. 



Time. 



Time of oscillation. 



Mean. 



Observed. 



Correction. 



Corrected. 



M 



4 

 17 



4 

 12 



4 

 12 



3 



9 



m s 

 33 2815 

 40 5616 

 12 312 

 16 38-51 



11 33-47 

 16 8-95 



9 21-28 



12 4780 



17 

 39 

 20 

 28 

 20 

 28 

 15 

 21 



m s 

 40 5616 

 48 24-36 

 21 1406 

 25 49-47 

 20 44-40 

 25 19 84 

 16 14-35 

 19 40-82 



s 



34-4625 

 34-4769 

 34-4336 

 34-4352 

 34-4328 

 34-4304 

 34-4222 

 34-4181 



s 

 -00061 

 -00060 

 -00061 

 -00061 

 -00062 

 -00061 

 -00061 

 -00061 



s 

 34-4564 

 34-4709 

 34-4275 

 34-4291 

 34-4266 

 34-4243 

 34-4161 

 34-4120 



s 

 1 34-4636 



1 34-4283 



1 34-4255 



J34-4140 



Logarithmic Decrement \ with interrupted Circuit. —This was 

 taken in the well-known manner, together with the previous 

 observations of time, by reading off the points of reversal. Care 

 was herein taken that the arc was, on the average, about as 

 large as in the recoil-observations. Each arc in the following 

 Table is the mean of four adjacent ones. The numbers are re- 

 duced to infinitely small vibrations. 



