COMPARISON OF € WITH I+K+A, I + L+B, I+M + r, I + N+A.
885
gr-
t.
b.
September 28.
€^$+0-000725
17-27
758-79
October
1.
€£=$+0-001466
15-59
763-79
October
3.
€£=$+0-001159
16-25
759-31
October
8.
€=£ $ + 0-002441
15-37
757-8
October
9.
€=£= $+ 0-000435
15-21
743-89
If vQ — u(0=2O’933, as given by the observations of Schumacher combined withthose of Olufsen, Steinheil and Gambey, the true weight of <3 compared with (0will be larger than its apparent weight by the weight of air displaced by a mass ofplatinum the volume of which at 0° is equal to the volume of 20‘933 grains of waterat its maximum density.
Weight of air displaced by £1— weight of air displaced by <0.
September 28. 0-025316
October 8. 0-025462
October 1. 0-025643
October 9. 0-025007
October 3. 0-025430
Therefore
September 28.
gr-
€=$—0 02459
October 1.
€=$-0-02417
October 3.
(£=$[—0-02427
October 8.
€=$[-0-02302
October 9-
€=$[—0-02457
Mean .
€=$[—0-02412 grain.
If t>3—v(0=2ril9, as given by the stereometer observations, the differences of
the weights of air displaced by <3 and (0 will be
September 28.
0-025541
October 8. 0-025688
October 1.
0-025871
October 9- 0-025230
October 3.
0-025655
Therefore
September 28.
gr-
€=$[ — 0-02482
October 1.
€=$[-0-02439
October 3.
€=$ — 0-02450
October 8.
€=$—0-02325
October 9.
€=$ — 0-02480
Mean
€=$—0-02435 grain.
Comparison of (0 with each of the weights I+K+A, I+L+B, I+M+T, I+N+A.
The use of auxiliary weights corresponding to the divisors obtained in the processof expressing in a continued fraction the ratio of one to the other of the two weightsto be compared, answered so well in deducing the pound of 7000 grains from thepound troy of 5760 grains, that I resolved to employ it in comparing the kilogrammewith the pound. The weight of (0 is nearly 15432-325 grains, and that of each ofthe weights I, K, L, M, N, the new standard lb. and its four copies respectively, is7000 grains. Then, each of the weights A, B, T, A being 1432-324 grains, Z being1270-707 grains, and 0 being 161-629 grains, the following comparisons became
possible:—
5 z 2