﻿THE 

 LONDON, EDINBURGH, and DUBLIN 



PHILOSOPHICAL MAGAZINE 



AND 



JOURNAL OF SCIENCE. 



[FOURTH SERIES.] 

 APRIL 1871. 



XXXIII. On the Capillary Phenomena of the common Surface of 

 two Liquids. By G. Quincke*. 



I. Flat drops or bubbles in various liquids. 



CONSIDERATIONS similar to those which have been applied 

 to the free surface of a liquid (that is to say, bounded by 

 space or by air) are applicable to the common surface of two 

 liquids. 



In the following memoir I shall use the same notation as 

 in my former communications on Capillary Phenomena-]-, and 

 shall distinguish the magnitudes which relate to a point P x or 

 P 2 of the free surface of the liquid 1 or 2 by means of the suffix 

 1 or 2, the magnitudes which relate to a point P 12 of the com- 

 mon surface of two liquids 1 and 2 by means of the double 

 suffix 1 2. 



Let R and R' denote the smallest and greatest radius of curva- 

 ture of the common surface of two liquids 1 and 2 at the point 

 P 12 , then considerations analogous to those concerning free liquid 

 surfaces show that in the direction of the surface-perpendiculars 

 to the concave side of the surface at the point P ]2 a pressure is 

 exerted 



^=K 12+ ^(l + i) (1) 



* Translated from PoggendorfF's Annalen, vol. cxxxix. part. 1; having 

 been communicated in abstract to the Konigl. Ges. d. Wissenschaften zu 

 Gottingen in October 1869. 



t Pogg. Ann. vol. cv. pp. 1-48(1858); vol. cxxxiv. pp. 356-367 (1868); 

 vol. cxxxv. pp. 621-646; vol. cxxxviii.pp. 141-155 (1869). 



Phil. Mag. S. 4. Vol. 41. No. 273. April 1871. S 



