or THE I'NITED STATES, 



<J67 



In the final reduction of the values olitained. 1 shall aild. 

 as a constant quantity, 0".0()0t7.2 to each result; this havins; 

 been shown aljove, to he tlie surplus lena'h of the individual 

 division used over the mean length of the scale for 78",8. 



The following table will |)rcsent the results of all tlie fore- 

 going; comparisons for the tcmi)erature of 32°, with all the 

 necessarv reductions : — 



AM. 1^^.+, 



}>l'-+l> Sr.l r8",7607180 — 0%6 — 0",0000837-30 78",760806229 

 32°,5 78 ,7595370 -fO-,5 -f 0",00<10G98108 78' ,759778811 

 33",7 78',7602300 +r.7 +0',00047-J7134 7S",7G087671S 



Mar.18 

 AM. 



Mar.18 J ^1' 



PM. i;;;. 



W+' 50",5 78",7553503 

 + y 51 ,0 78',7593134 

 +^ 51 -,5 78V575579 



18%5 

 19 ,0 

 19",5 



",00421 65000 78",760664500 



0' ,0044957000 78,765024700 



0',0047 191000 78',763761100 



0' ,0048028600 78",760783360 



,0048816200 78',-6 1865020 



",0049704000 78 ',761523400 



,0050820400 78'.762065090 



315",046236870 



0",005 1656700 78",760687970 

 ,0053055500 78 ,764790950 

 0",0054451000 78'",763 175000 



The piinciplcs of the arrangement of this comparison 

 show that tlic result for each individual metre will be ob- 

 tained by a simple equation of tlie following form, viz. : 



2 



and in like manner for all the others, by a proper mutation 

 of letters. 



