og som Control paa det benyttede Kviksølvs Renlied dettes 
Egenvægt ved ^ , til 13.5963 
samt Søvandets Volumina ved forskjellige Temperaturer til 
and, as a test of purity, the specific gravity of the mer- 
cury at was found to be 13.5963, and 
the volume of sea-water at different temperatures — 
t n 
0 4 | 8 
i 3 j 17-5 j 2c 
t° * 
0 
4 
. 8 
»3 
17-5 
20 
V, af I 
1.000000, 1.000308 1.000794 
1.001654 1.002605! 1.003227 
V t of I 
1. 000000 
00 
0 
0 
0 
0 
1.000794 
1.001654 
1.002605 
1.003227 
Til Udjevning af den efter disse Observationer op- 
trukne Curve har jeg benyttet de mindste Kvadraters 
Methode, idet jeg har sat Ligningen for Søvandets Volum 
ved t" under Formen 
For smoothing the curve laid down from these obser- 
vations, I adopted the method of the least squares, giving 
the equation for the volume of the sea-water at *° the 
form — 
V t =\ + at-{-U* + ct\' 
V, - 1 + at + 6* 2 + 
Betingelsesligningerne blive 
a -f- 4‘ b -f 16 c — O.OOUU77 = 0 
a -f- 8 6 -f- 64 c — 0.00009925 = 0 
a 4 13 6 + 169 c — 0.00012723 = 0 
a 4 17.56 -\- 306.25c — 0.000148857 = 0 
a + 20 b 400 c — 0.00016135 s 0 
The conditional equations will be — 
a - 4 6 + 16 c — 0.000077 =0 
a _|_ 8 5 -f 64 c — 0.00009925 = 0 
0+13 6+169 c — 0.00012723 =0 
' a -f- 17.56 4 306.25c — 0.000148857 = 0 
a + 20 6 + 400 c — 0.00016135 =0 
hvoraf Systemerne 
ha 4 '62.5 6 4 955.25c— 0.000.613687 = 0 
62.5.0. 4 955.256+ 16132.37c — 0.008588 = 0 
955.25« 4 16132.376 4 286702 c — 0.1392135 = 0 
som ved Elimination giver 
from which are deduced — 
5a 4 62.5 6 4 955.25c — 0.000613687 = 0 
62. 5ø 4 955.256 4 161 32.37c — 0.008588 =0 
955.25ø 4 16132.376 4 286702 c — 0. 1392135 = 0 
and these equations give by elimination — 
0 = 0.0000527328 
b- 0.00000617375 
r = — 0.000000037516 
a—. 0.0000527328 
h- 0.000006 L 7375 
c- — 0.000000037516 
eller ved Afrunding 
V, = 1 4 0.000052733* 4 0.000006 1 738* 2 — 0.00000003752* 3 . 
Efter denne Formel har jeg beregpet følgende Tabel, 
hvori Sovandets Volum findes opført for .liver hel Grad 
ogsaa for Tempera tur erne under 0°, uagtet Formelens Gyl- 
dighed for dette Strog ikke er stottet ved nogen Observa- 
tion. 
or, rounded off. 
V t = 1 40.000052733* 40.0000061738*- — 0.00000003752* a . 
By means of this formula I determined the. results 
set forth in the following Table, which shows the volume 
of sea-water, computed for every degree, including temper- 
. atures below 0°, although the applicability of the formula 
to the latter has not been ascertained from observation. 
*" 
v t 
*° 
v t . 
*° 
F, 
— 4 
0.99989 
5 
1. 0004 1 
14 
1.00185 
—3 
0.99990 
6 
1.00053 
*5 
1.00205 
— 2 
0.99992 
7 
1.00066 
16 
1.00227 
— 1 
0.99995 
8 
1.00080 
•7 
1.00250 
0 
1. 00000 
9 
1.00095 
* 7-5 
1.00261 
. 1 
1.00006 
10 
• 1. 001 11 
18 
• 1.00273 
2 
1. 000 1 3 
1 1 
1.00128 
>9 
1.00297 
3 
1.0002 1 
12 
•1. 00 1 46 
20 
1.00322 
• '4 
1.00031 
13 
1.00165 
*° 
v t 
*° 
*° 
v t 
—4 
0.99989 
. 5 
1.0004 1 
14 
1.00185 
—3 
0.99990 
6 
1.00053 
15 
1.00205 
— 2 
0.99992 
7 
1.00066 
16 
1.0022.7 
— 1 
0.99995 
8 
1.00080 
17 
1.00250 
0 
1. 00000 
9 
1.00095 
17-5 
1.00261 
1 
1.00006 
10 
1. 001 1 1 
18 
1.00273 
2 
1. 000 1 3 
1 1 
1.00128 
19 
1.00297 
3 
1.0002 1 
12 
1.00146 
20 
1.00322 
4 
1.0003 1 
13 
1.00165 
