768 PROF. W. H. MILLER ON THE CONSTRUCTION OF THE NEW STANDARD FOUND. 
March 27, April 13. 
gr. pt. 
K=D + 0'006-2-65 
+ 0-003-0-60 
+ 0-003-0-20 
— 1-60 
-2-30 
— 1-20 
- 0-70 
+ 1-20 
+ 3-50 
+ 1-90 
+ 0-60 
+ 1*70 
+ 2-20 
+ 3-10 
April 25. 100 parts=:0-1456 grain. 
gr. pt. 
L=Ex + 0-008 + 0-20 
+ 0-008-0-65 
+ 0-008 — 1-35 
+ 0-008-1-25 
+ 0-006-0-90 
+ 0-006 — 0-80 
+ 0-006 — 0-65 
+ 0 - 006 - 0-60 
+ 0-006-1-75 
+ 0-006 — 0-65 
+ 0-006 — 0-55 
+ 0 - 006 - 1*00 
April 25. 
gr. pt. 
Ed=L+ 0-000 + 4-90 
+ 0 - 010 - 2-70 
+ 0 - 010 — 2-20 
+ 0-000 + 5-90 
+ 0-007 + 0-50 
+ 0-007+0-15 
+ 0 - 007 + 1-00 
+ 0-007 + 0-75 
+ 0-007 + 1-20 
+ 0 007 + 0-20 
+ 0-007 + 1*30 
+ 0-007+1*40 
Mean L=Ex + 0-00546 grain. 
Mean Ed=L + 0-00784 grain. 
Mean K = D + 0-00129 grain. 
April 16. 100 parts=0*1310 grain, 
gr. pt. 
Sb=R + 0-006 + 3-75 
+ 0-010 + 0-70 
+ 0-010 — 1-15 
+ 0-010-0-97 
+ 0-008 + 0-68 
+ 0-008 — 1-63 
+ 0-008-2-27 
+ 0-008-1-97 
+ 0-006-1-00- 
+ 0-006-0-75 
Mean Sb=R + 0-00740 grain. 
gr. pt. 
K = R + 0-035-0-10 
+ 0-035 + 2-60 
+ 0-037 + 2-20 
+ 0-038 + 0-60 
+ 0-038 — 0-73 
+ 0-038 + 2-50 
+ 0-038 + 2-23 
+ 0-038 + 2-20 
+ 0-040 + 1-25 
+ 0-040 + 0-27 
April 26. 100 parts=0-1456 grain, 
gr. pt. 
Ed=Ex + 0-014-0-90 
+ 0-014—2-10 
+ 0-014 — 3-10 
+ 0-014 — 1-50 
+ 0-010+1-40 
+ 0-010+0-85 
+ 0-010 + 0-50 
+ 0-010 + 0-55 
+ 0-010 + 1-75 
+ 0-010 + 0-10 
+ 0-010 + 0-55 
+ 0-010 + 0-90 
April 27. 
gr. pt. 
D=L + 0-007 + 2-30 
+ 0-010 + 0-05 
+ 0-010 + 0-35 
- +0-010+1-05 
+ 0-010 + 0-35 
+ 0-010 + 0-20 
+ 0-010 + 0-70 
+ 0-010 + 0-50 
+ 0-010 + 0-60 
+ 0-010 + 0-05 
+ 0-010 + 0-05 
Mean D=L + 0-01055 grain. 
Mean Ed=Ex + 0-01121 grain. 
April 24. 
April 25. 100 parts = 0-1456 grain. 
gr. pt. 
D = Ex + 0-014 + 0-30 
+ 0-014 + 0-70 
+ 0-014 + 0-50 
+ 0-014 + 0-85 
+ 0-014-0-80 
+ 0-014 + 0-70 
+ 0-014 + 0-40 
+ 0-014-0-50 
+ 0-014 — 0-40 
+ 0-014-0-50 
+ 0-014 — 0-55 
pt. 
Ed=D+l-85 
+ 0-80 
+ 0-60 
+ 0-30 
+ 0-30 
-0-80 
— 0-35 
— 0-50 
-0-45 
— 1-20 
Mean Ed = D + 0-00008 grain. 
+ 0-014-0-25 
Mean K = R + 0-03941 grain. 
Mean D = Ex + 0*01405 grain. 
Before any use can be made of these weighings, the results must be reduced to 
what they would have been either in a vacuum or in air of given density. The latter 
is to be preferred, for then the result will be less affected by any uncertainty in the 
densities of the weights, or the value of the density of air, and also because we are 
not in possession of the data requisite for the reduction of the weighings in 1824. 
Let P appear to weigh as much as Q in air (thermometer = ^, barometer = 6), p, q 
being the weights of the air displaced by P and Q respectively. Let P appear to 
weigh as much as Q+R in air (thermometer = ^', barometer = 6'), p', q' being the 
weights of the air displaced by P and Q respectively, — 
V—p—Q—q and P— jo' = Q+R — 
