OF ARTS AND SCIENCES. 381 



Equations between R^ and W. 



Whence 



Normal Equations. 

 — 3266 7 = 8 a + 59.58 6 

 —12736.4 = 59.58 a +1189.62 6 



a = —524.1 div. = 203.6 ^ 

 6 = + 15.54 div. = 7.82 /z 



It appears from these observations, that the coeiScient of W for 

 1° C. fi'om comparison with R.^ is 



17.17^ + 0.92 /x== 18.09 /i; 



and that the coefficient of IT for 1° C. from comparison with ^3 is 



10.28 ^4- 7.82 ^=l8.10,x. 



On account of the large deviation from the value communicated by 

 the Society, viz 19.155 m, a, series of comparisons was instituted be- 

 ween IT and a steel end-meter /S immersed in melting ice, according to 

 the method described in the Proceedings of the American Academy, 

 Vol. XVIII. p. 341. 



EQUATIONS OF CONDITION BETWEEN W AND S IN 



MELTING ICE. 



