WITHDRAWN FROM THE ACTION OF GRAVITY. 



649 



same manner, i. e. that the respective normal lengths of the 

 divisions would be to each other in the proportion of the dia- 

 meters of these cylinders. 



In order to verify this law by experiment, I procured some 

 copper wires, the diameter of which was exactly double that of 

 the first, therefore equal to 2-1 millims., and I made with them 

 a new series of ten experiments, giving the cylinder a length of 

 100 millims. This series also famished me with only a single 

 perfectly regular result, which I have denoted as before by an * 

 placed opposite the corresponding number of isolated spheres. 

 The following is the Table relating to this series. 



By stopping at the second decimal place, we have, as is evi- 

 dent, 13'3.3 millims. for the value of the length of a division 

 corresponding to the perfectly i-egular result ; but as the opera- 

 tion which yields it consists in the division of 100 by 'J'5, the 

 value when perfectly expressed is 1 3i millims. This then is very 

 nearly, if not exactly, the normal length of the divisions of this 

 new cylinder ; now this length, 13^ millims., is exactly twice the 

 length, 6| millims., which belongs to the divisions of the cylinder 

 of the preceding paragraph ; these two lengths are therefore, in 

 fact, in the proportion to each other of the diameters of the two 

 cylinders. 



As the perfectly regular result of the above Table has given a 

 mass of the larger kind to each base, it follows, that to enable 

 the divisions of the cylinder itself to assume their normal length, 

 or the nearest possible length to this, the transformation has 

 necessarily ensued according to the former method ; whilst in 

 regard to a cylinder the diameter of which is a half less, and the 

 total length of which is the same, 100 millims., the transforma- 

 tion ensued according to the second method (§ 54). 



