OP ARTS AND SCIENCES. 381 



With the determined coefficients 16.18/x and 17.00/:* for T and 

 C. S. respectively, we have 



AtO°C. r"2-|- 102.8/x = ^ 



But at 0° C. 5. + 310.0^ = ^ 



Hence T«= — CS=. -f 207.2 /x 



From observation T''^ — C.S.= +208.3 /* 



DiflP. = 1.1 /x 



Atl6°.67, ^"2— 167.0 ;x = ^ 



as. -\- 16.6 fi = A 

 Hence T^2 — C S. = +183.6 ;* 



From observation T^*^- — C. S. = +184.6 /x 



Diff. = l.Ofi 



We have therefore an agreement which is quite as close as one 

 ought to expect. 



For the yard we have, from observations at Washington, 



At 16°.67, i?2 + 1.22 iM = Y= Imperial Yard. 



From the Eeport of Mr. Chaney, 



a s. + 20.68 /i = r 



Hence C. S. — i?2«2 = — 19.5 ^ 



From observation C S. — i?^"^ = — 21.6 /x 



Diff. = 2.1 /x 



Here again the agreement is extraordinarily close. It may be 

 assumed, therefore, that the meters T and C. S. represent the Metre 

 des Archives within the limits of the ordinary errors of observation. 

 The agreement, also, of the yard C. S. by direct comparison with the 

 Imperial Yard with the relation established through " Bronze 11," in- 

 dicates that both of these standards represent the Imperial Yard when 

 the determined corrections are applied. In the determination of the 

 length of the meters and yards i?j"i and R,"^ it will be assumed that 

 T and C. S., with the determined corrections, represent the original 

 standards with equal weight. 



