646 HINRICHS— TRUE ATOMIC WEIGHT OF BROMINE. [April 4, 



II. The Analytical Ratio. 

 TABLE II. 



The Analytical Ratio, r; Calculated to 6 Decimals, the Sixth as First 

 TO THE Fifth, Since Ordinarily Only Fifth is Taken. 



Remarks. — (i) Ratios very concordant; range small, especially in first and 

 second (five significant digits only), less so in third (six significant digits). 

 (2) The reciprocal ratios of nos. I and 2 would magnify the minute error in 

 H eighty-fold. (3) Complete synthesis gives the three equally important 

 ratios; Weber omits no. 3. 



III. The Variation of the Analytical Ratio. 



As soon as the individual determinations of the analytical ratio 

 r (Table II.) are plotted according to a convenient scale it is seen 

 that this ratio is not constant, but variable. In our drawing (No. 

 750) the abscissae represent the weight zi' of bromine taken on the 

 scale of a centimeter to the gramme, while the ordinates represent 

 the corresponding ratio r on the scale of one inch to the unit of the 

 fifth decimal; that is, the unit-ratio itself is 100,000 inches which is 

 8,333 feet or 1.58 english mile. Of the three distinct diagrams we 

 shall here insert only the one representing the third ratio, Br/HBr, 

 which is the sharpest and therefore the most decisive. The reduc- 

 tion to centimeter scale by photography is here inserted ; for this cut 

 the unit ratio is therefore one kilometer, and the unit of the fifth 

 decimal one centimeter. The gramme is represented bv nearlv four 

 millimeters. See Plate XXXIV. 



