FOR DETERMINING THE MEAN DENSITY OF THE EARTH. 
347 
The range of temperature in the experiments now made greatly exceeded that for 
the experiments in the mine. In extending a table, so as to include an increased 
range of physical conditions, there will always be some doubt as to the propriety of 
selection of that mathematical function which is assumed to increase proportionally 
with the indications of the physical measurer. I have here assumed that the changes 
of the logarithms of the temperature-correction are simply proportional to the changes 
of thermometer-reading. The table below, therefore, is formed from the table in 
Section III. by simple addition and subtraction of a constant number. 
The table used for barometrical correction is the same which was used before. 
n . 
T ra — 2 
Log 
n 
n . 
T n — 2 
Log 
n 
T n — 2 
Log 
n 
1 
n . 
f n — 2 
n 
n . 
T n —2 
Log . . 
n 
269-5 
9-99676502 
271-5 
9-99678894 
273-5 
9-99681250 
277-8 
9-99686202 
279-8 
9-99688454 
•6 
6622 
•6 
9012 
278-9 
6315 
280-9 
8566 
•7 
6742 
-7 
9130 
276-0 
9-99684148 
-0 
6429 
-0 
8677 
•8 
6863 
•8 
9249 
-1 
4263 
-1 
6542 
-1 
8788 
•9 
6983 
-9 
9367 
-2 
4377 
-2 
6655 
-2 
8899 
270-0 
7103 
272-0 
9486 
-3 
4492 
-3 
6768 
-3 
9011 
•1 
7222 
•1 
9604 
-4 
4606 
-4 
6881 
-4 
9122 
•2 
7342 
-2 
9722 
-5 
4721 
-5 
6994 
-5 
9233 
•3 
7462 
•3 
9840 
-6 
4835 
-6 
7107 
-6 
9344 
•4 
7582 
•4 
9-99679958 
-7 
4949 
-7 
7219 
-7 
9455 
•5 
7702 
•5 
9-99680076 
-8 
5064 
-8 
7332 
-8 
9566 
•6 
7821 
•6 
0194 
-9 
5178 
•9 
7444 
-9 
9677 
-7 
7940 
-7 
0311 
277-0 
5293 
279-0 
7557 
281-0 
9788 
-8 
8060 
•8 
0429 
•1 
5407 
-1 
7669 
-1 
9-99689899 
-9 
8179 
-9 
0546 
-2 
5521 
-2 
7781 
-2 
9-99690009 
271-0 
8299 
273-0 
0664 
-3 
5635 
-3 
7893 
•3 
0119 
•1 
8418 
•1 
0781 
•4 
5748 
-4 
8006 
•4 
0230 
•2 
8537 
-2 
0898 
-5 
5862 
-5 
8118 
-5 
0341 
•3 
8656 
•3 
1016 
-6 
5975 
-6 
8230 
-6 
0451 
•4 
8775 
-4 
1133 
-7 
6088 
-7 
8342 
-7 
0562 
Thermometer. 
Correction to 
Log. Rate. 
Thermometer. 
Correction to 
liOg. Rate. 
Thermometer. 
Correction to 
Log. Rate. 
40-0 
9-99997937 
50-5 
0-00000104 
88-0 
0-00007840 
-5 
8040 
51-0 
0207 
•5 
7943 
41-0 
8144 
•5 
0310 
89-0 
8046 
•5 
8247 
52-0 
0413 
•5 
8149 
42-0 
8350 
*5 
0516 
90-0 
8252 
-5 
8453 
53-0 
0619 
•5 
8355 
43-0 
8556 
•5 
0722 
91-0 
8458 
-5 
8659 
54-0 
0825 
•5 
8561 
44-0 
8762 
•5 
0928 
92-0 
8664 
•5 
8865 
550 
1032 
-5 
8767 
45-0 
8968 
93-0 
8870 
-5 
9071 
83-0 
0-00006808 
•5 
8973 
46-0 
9175 
-5 
6912 
94-0 
9076 
-5 
9278 
84-0 
7015 
-5 
9179 
47-0 
9381 
-5 
7118 
95-0 
9282 
-5 
9484 
85-0 
7221 
•5 
9385 
48-0 
9587 
-5 
7324 
96-0 
9488 
•5 
9690 
86-0 
7428 
-5 
9591 
49-0 
9793 
-5 
7531 
97-0 
9694 
-5 
9-99999897 
87-0 
7634 
•5 
9797 
50-0 
0-00000000 
•5 
7737 
98-0 
9900 
2 z 2 
