COMPARISON OF <£ WITH I + K+A, I + L+B, I + M + F, 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. 
(Eiia + 0-001159 
16-25 
759*31 
October 
8. 
eE £1:21 + 0-002441 
15-37 
757*8 
October 
9 . 
(££1:^+ 0-000435 
15-21 
743-89 
If 20*933, as given by the observations of Schumacher combined with 
those of Olufsen, Steinheil and Gambey, the true weight of ^ compared with (& 
will be larger than its apparent weight by the weight of air displaced by a mass of 
platinum the volume of which at 0° is equal to the volume of 20*933 grains of water 
at its maximum density. 
Weight of air displaced by 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 
gr- 
September 28. 
(!E=a— 0 02459 
October 1 . 
(!E=H— 0-02417 
October 3. 
(£=^-0-02427 
October 8 . 
(2E=a— 0-02302 
October 9 . 
(£=^-0-02457 
Mean 
0-02412 grain. 
If ^0=21*119, as given by the stereometer observations, the differences of 
the weights of air displaced by 91 and (Q will be 
September 28. 0-025541 
October 8. 0-025688 
October 
1 . 0-025871 
October 9- 0-025230 
October 
3. 0-025655 
Therefore 
gr. 
(£=^-0-02482 
September 28. 
October 
1. 
e=^-0-02439 
October 
3. 
CE=g[-0-02450 
October 
8. 
(!E=H- 0-02325 
October 
9 . 
(£= a -0-02480 
Mean 
0-02435 grain. 
Comparison of with each of the weights I+K+A, I+L+B, I + M + F, I+N+A. 
The use of auxiliary weights corresponding to the divisors obtained in the process 
of expressing in a continued fraction the ratio of one to the other of the two weights 
to be compared, answered so well in deducing the pound of 7000 grains from the 
pound troy of 5760 grains, that I resolved to em[)loy it in comparing the kilogramme 
with the pound. The weight of (& is nearly 15432*325 grains, and that of each of 
the weights I, K, L, M, N, the new standard lb. and its four copies respectively, is 
7000 grains. Then, each of the weights A, B, F, A being 1432*324 grains, Z being 
1270*707 grains, and 0 being 161*629 grains, the following comparisons became 
possible : — 
5 z 2 
