DAVIS. — LONGITUDINAL VIBRATIONS OF A RUBBED STRING. 715 



TABLE III. 



Observations to test Krigar-Menzel's law. It is only fair to state that each of 

 the ratios in this table is the best of a number of determinations. The ratio 

 selected in each case does, however, take into account all of the 105 settings which 

 were made on the slide in question. 



twenty-one successive vertices under a vertical cross-hair. These 

 gave the lengths of the projections on the t axis of ten consecutive 

 ascents and of the ten descents immediately following them. Since the 

 velocity of the slide when the tracing was made was not in general 

 uniform, the averages of the values thus obtained had to be slightly 

 modified to allow for the distortion of the time scale of the slide. The 

 necessary correction, which was always small, was obtained from the 

 values themselves on the supposition that the acceleration of the slide 

 was uniform during the interval in question — about the fortieth part 



