454 Mr. S. U. Pickering on the Recognition of 



Table III. — Depression of the Freezing-Point of Water by 



Mathematical 



(Average Experimental 



I. 



When represented by 



When represented by 



II. 



III. 



IY. 



V. 



YI. 









2 Equa- 











p. 



Pex* cent. 

 Alcohol. 



1 Equa- 



tions 



10 



12 



14 





tion. 



meeting at 

 16 per cent. 



per cent. 



per cent. 



per cent. 







o 



c 



o 



o 



o 



2 



- -069 



-•001 











4 



- -053 



4- -022 











6 



- -052 



-•014 











8 



- -022 



-•049 











10 



4- -143 



+ •043 



-•042 









12 



+ -164 







+•029 



-•097 







14 



4- -214 



4- -011 



+•134 



+ •159 



-109 





16 



4- -186 



(-•0121 

 1 - -005 / 



+ •160 



+ •249 



+ •190 





18 



- -144 



4--015 



-•121 



-•036 



+ •027 





20 



- -303 



-•021 



-•240 



-•201 



-•088 





22 



- -222 



+ •023 



-•132 



-•159 



-•048 





24 



- -136 



-•020 



-•038 



-•125 



-•051 





26 



4- -061 



+ •024 



+ •145 



+ •026 



+ •046 





28 



4- -106 



-•040 



+ •148 



+•048 



+•017 





30 



4- -178 



+•036 



+ •148 



+ •143 



+•079 





32 



- -052 



-011 



-•192 



-•003 



-•061 





Sum { 



4-1-052 



+•174 



+•764 



+ •625 



+•359 







-1-053 



-•173 



—'765 



— •620 



— •357 





e x 



•1316 



•0204 



•128 



•113 



•072 





e n 



38-3 

 2-70 



13-608 

 633* 



1 

 1 



•0204 

 0-95 * 



40 

 1-95 

 9-99 

 499t 



36 



1-8 

 7-32 

 407t 



15-3 

 1-25 

 1-377 



69 1 





e„ 



E 



Rel. error ... 



* Compared with the experimental error as unity. 



t Compared with the total error (E) of the same portion of the 



Constants of the Equations, % = 2p. The starting- 



p- 



a. 



b. 



c. 



d. 





0to32 





•48111 



•053856 



-•0029464 



„ 16 





•586112 



•014257 



-•0000237 





16 „ 32 



5-5959 



1-26382 



-•164645 



+ •008376 





10 „ 32 



31991 



•8448 



•01410 



-•003697 





12 „ 32 



39275 



1-06653 



-•053527 



•0002253 





14 „ 32 



4-6728 



1-2209 



-•10647 



•003253 





