542 Royal Society : — 



to say, to n atmospheres), is 



teX2ll7 



1390x63-447 

 teX2ll7 

 For mercury, we have 1390x28-68 "' 



It', as a rough estimate, we take 



_ t-278 1 

 ^~ 46 ^ 2200' 



this becomes J^^I^ -'h. 



420000 



If, for instance, the temperature be 300° on the absokite scale (tha 

 is, 26° of the Ceutig. thermometer), we have 



n 

 636 



as the heating effect produced by the sudden compression of water 

 at that temperature : so that ten atmospheres of pressure would give 

 -^^ of a degree Cent., or about five divisions on the scale of the most 

 sensitive of the ether thermometers we have as yet had constructed. 

 Thus if we take 5-5V0 ^^ ^^^ value of e, this becomes 

 t 

 103600" ' 

 and at temperature 26° Cent., the heating effect of ten atmospheres 

 is found to be Jj of a degree Cent. 



Table giving the thermal effects of a pressure of ten atmospheres 

 on water and mercury*. 

 Increase or decrease of Increase of temperature 



Temperature. temperature in water. in mercury. 



0° -005 decrease -026 



3°-95 -U -0264 



10° -006 increase -027 



20° -01.5 do -028 



30° -022 do -029 



40° -029 do -030 



50° -035 do -031 



60° -041 do -032 



70° -047 do -033 



80° -055 do. . -034 



90° -065 do -035 



100° -078 do -036 



"Supplementary Researches on the Partition of Numbers." By 

 Arthur Cayley, Esq., F.R.S. 



The paper is supplementary to the author's memoir, "Researches 



on the Partition of Numbers," which comprises the two papers, 



abstracts of which appear in the ' Proceedings ' of the Meeting of the 



3rd of May, 1855. It contains some additional developments in 



* Added August 1. 



