WITHDRAWN FROM THE ACTION OF GRAVITY. 



699 



consequently the second law of Savart would no longer be satis- 

 fied, at least as regards the two extreme veins of the series 

 brought into comparison. 



The following new conclusions result from all this : — With a 

 sufficiently weak common charge, the proportionality of the 

 length of the continuous portion of the mercurial column to the 

 diameter of the orifice does not exist throughout the entire ex- 

 tent assigned to the variations of this diameter ; but it begins 

 to manifest itself when that value is given to the common charge 

 at which the vein escaping from the largest of the orifices com- 

 mences to exist under the eftective conditions of Savart's first law. 



Respecting these conclusions, we must repeat what we stated 

 with regard to that terminating the preceding section, viz. that 

 they are very probably applicable, at least to all very slightly 

 viscid liquids, consequently to water. 



Now we shall see that these same conclusions, as also those 

 of the preceding section, are in accordance with the results of 

 Savart's experiments, which results relate to water. 



80. Savart has made two series of observations upon veins of 

 water withdrawn from all extraneous influences, one with an 

 orifice 6 millims., the other with an orifice 3 millims. in diameter; 

 the successive charges were the same in both series. The two 

 following tables represent the results obtained, i. e. the lengths 

 of the continuous part corresponding to the successive charges ; 

 both the lengths and the charges are expressed in centimetres. 

 I have inserted in each table a third column, containing, in re- 

 gard to each of the lengths of the continuous part, the propor- 

 tion of the latter to the square root of the corresponding charge : — 



Before discussing these tables, we may remark here, that all 

 the lengths of the continuous portions are expressed in whole 

 numbers; which shows that Savart has taken for each of them 

 the nearest approximative whole number in centimetres, disre- 

 garding the fraction ; hence it follows that the lengths given in 

 these tables cannot in general be perfectly exact. 



