1821.] Causes of Calorific Capacity, Latent Heat, $c. 437 

 Example 5. — Let the temperature be 312° Fahr. 



312° 

 Cor. -2-6 



309-4, hence T= 1256-2 log. 3-0990588 



a = 7-4445621 



3-4964 0-5436209 

 2-2637 



1-2327 log. 0-0908754 . .A 



A x 8 = -7270032 



A x -2 = -0181751 



b = 1-4771213 



166-84 2-2222996 



Dr. Ure's experiments give this tension 167-00 in. and his 

 theorem about 161-05 in. that is, nearly six inches beneath his 

 observation. 



Example 6. — Suppose the temperature be 343-6° Fahr. 



343-6° 

 Cor. -3-6 



340-0, which gives T = 128 1-2 log. 3-1076169 



a = 7-4445261 



3-5656 0-5521430 

 2-2637 



1-3019 0-1145776.. A 



A x 8 = -9166208 



A x -2 = -0229155 



b = 1-4771213 



261-01 2-4166576 



This tension comes out 261 in. By Mr. Southern it is only 

 240. But if we observe Mr. Southern's tensions in the higher 

 ranges fall much below Dr. Ure's, and that in an increasing 

 ratio. When Mr. Southern makes the tension 60, Dr. Ure finds 

 it 61-9 ; and when Mr. Southern's is doubled, or 120, Dr. Ure's 

 is above 1 26 ; so that in doubling the tension, the difference is 

 more than trebled. If we allow the same proportion of error to 

 hold good in another doubling of the tension, the difference 

 ought £0 be about 19, which, added to Mr. Southern's 240, 

 would give for Dr. Ure's 259 ; that is, only 2 less than it ought 



