414 
MESSES. T. E. THOEPE AND A. W. ETJCKEE ON 
Table XI. 
t° 0. 
Sample A. 
Sample B. 
Sample C. 
Sample D. 
t° 0. 
Series I. 
Series II. 
Series I. 
Series II. 
Series III. 
Series I. 
Series II. 
Series I. 
Series II. 
0 
1-00000 
1-00000 
1-00000 
1-00000 
1-00000 
1-00000 
1-00000 
1-00000 
1-00000 
0 
2 
19 
17 
14 
14 
13 
11 
11 
7 
8 
2 
4 
43 
39 
32 
32 
31 
26 
26 
19 
21 
4 
6 
69 
64 
56 
56 
53 
47 
46 
37 
39 
6 
8 
100 
93 
83 
83 
80 
71 
71 
60 
62 
8 
10 
134 
127 
115 
115 
111 
100 
100 
87 
89 
10 
12 
171 
164 
151 
150 
146 
134 
133 
119 
120 
12 
15 
237 
226 
212 
211 
206 
191 
191 
175 
174 
15 
18 
305 
297 
281 
279 
274 
257 
257 
239 
237 
18 
21 
383 
375 
358 
356 
351 
332 
331 
312 
309 
21 
24 
468 
459 
443 
440 
434 
413 
412 
392 
388 
24 
27 
559 
551 
533 
530 
524 
502 
501 
478 
476 
27 
30 
659 
648 
630 
627 
621 
598 
595 
570 
570 
30 
33 
764 
752 
733 
730 
722 
699 
695 
666 
671 
33 
36 
876 
861 
841 
838 
830 
806 
801 
766 
778 
36 
The agreement between the numbers referring to the same solution in these Tables 
may be considered satisfactory ; the greatest differences, which are observed in the case 
of sample A, may in part be due to the fact that, unfortunately, in Series I. no obser- 
vations could be made at temperatures below 7°; but as we have adopted the means of 
the different equations obtained for each series as the true expressions of the expansions, 
and as these formulae are, as we shall see hereafter, connected together by a simple 
relation, which that referring to A obeys on the whole satisfactorily, we have not 
thought it necessary to repeat the experiments, as those already obtained prove suffi- 
ciently accurate for our purpose when thus checked. 
The mean values of the constants given in Table X. are exhibited in Table XIL, and 
are the coefficients of the powers of t in the formulae we adopt as expressing in each 
case the relation between the volumes and the temperatures of the solutions submitted 
to experiment, and to which we shall hereafter refer as the mean formulae. 
Table XII. 
1. 
m. 
* 
A. 
•000081272 
•0000050987 
-•000000018227 
B. 
•000056294 
•0000060395 
—•000000032045 
C. 
•000040939 
•0000062559 
— -000000033167 
D. 
•000024955 
•0000066723 
-•000000039065 
Expressions for the expansions of the individual solutions having been thus obtained, 
it only remained to investigate a formula embracing them all as particular cases of a 
relation between the temperature, volume, and salinity of sea-water as measured by its 
