IMPERIAL STANDARD TROY POUND WEIGHT. 
487 
Table V. — Containing- the Logarithms of R 3 = [1 + (t— 32°) e] 3 for Platina. 
Assuming e -- Q-000005000. Assuming e = 0-000005050. 
t. 
log R 3 . 
t. 
log R 3 . 
, 
log R3. 
t. 
log R3. 
o 
32 
0-0000000 
60 
0-0001824 
o 
32 
0-0000000 
o 
60 
0-0001842 
33 
0-0000065 
61 
0-0001889 
33 
0-0000066 
61 
0-0001908 
34 
0-0000130 
62 
0-0001954 
34 
0-0000132 
62 
0-0001974 
35 
0-0000195 
63 
0-0002019 
35 
0-0000197 
63 
0-0002040 
36 
0-0000261 
64 
0-0002085 
36 
0-000026.3 
64 
0-0002106 
37 
0-0000326 
65 
0-0002150 
37 
0-0000329 
65 
0-0002171 
38 
0-0000391 
66 
0-0002215 
38 
0-0000395 
66 
0-0002237 
39 
0-0000456 
67 
0-0002280 
39 
0-0000461 
67 
0-0002303 
40 
0-0000521 
68 
0-0002345 
40 
0-0000526 
68 
0-0002369 
41 
0-0000586 
69 
0-0002410 
41 
0-0000592 
69 
0-0002435 
42 
0-0000651 
70 
0-0002475 
42 
0-0000658 
70 
0-0002500 
43 
0-0000717 
71 
0-0002540 
43 
0-0000724 
71 
0-0002566 
44 
0-0000782 
72 
0-0002606 
44 
0-0000790 
72 
0-0002632 
45 
0-0000847 
73 
0-0002671 
45 
0-0000855 
73 
0-0002698 j 
46 
0-0000912 
74 
0-0002736 
46 
0-0000921 
74 
0-0002764 
47 
0-0000977 
75 
0-0002801 
47 
0-0000987 
75 
0-0002829 
48 
0-0001042 
76 
0-0002866 
48 
0-0001053 
76 
0-0002895 
49 
0-0001107 
77 
0 0002931 
49 
0-0001119 
77 
0-0002961 
50 
0-0001173 
78 
0-0002996 
50 
0-0001184 
78 
0-0003027 
51 
0-0001238 
79 
0-0003061 
51 
0-0001250 
79 
0-0003093 | 
52 
0-0001303 
80 
0-0003127 
52 
0-0001316 
80 
0-0003158 | 
53 
0-0001368 
81 
0-000319 2 
53 
0-0001382 
81 
0-0003224 
54 
0-0001433 
82 
0-0003257 
54 
0-0001448 
82 
0-0003289 
55 
0-0001498 
83 
0-0003322 
55 
0-0001513 
83 
0-0003355 
56 
0-0001563 
84 
0-0003387 
56 
0-0001579 
84 
0-0003421 
57 
0-0001629 
85 
0-0003452 
57 
0-0001645 
85 
0-0003486 
58 
0-0001693 
86 
0-0003517 
58 
0-0001711 
86 
0-0003552 
59 
0-0001759 
J 
59 
0-0001777 
Proportional 
parts. 
O 
0-1 
7 
0-2 
13 
0-3 
20 
0-4 
26 
0-5 
33 
0-6 
40 
0-7 
46 
0-8 
53 
0-9 
59 
Log R 3 is taken with the temperature of the air in Fahrenheit degrees when the 
body is in the air, and with the temperature of the water when the body is immersed 
in water. 
31. We shall add to these tables a Table for the logarithms of Q, which is used 
when, by weighing in water, the specific gravity of a body (= A) is to be determined. 
The table M. Bessel has given is that of Hallstrom, the result of his experiments 
and calculations published in Vetenskaps Academiens Handlingar for ar 1823, and 
reprinted in Poggendorff’s Annalen der Physik , vol. i. p. 168. Hallstrom found the 
density of pure water, between the limits of 0° and -(-32 0 of the centigrade thermo- 
meter, 
= 1 + 0-000052939 r - 0-0000065322 r 2 + 0-00000001445 r 3 
where r denotes the degrees of the centigrade thermometer. The unity is here the 
density of pure water at the temperature of melting ice. This formula gives the 
greatest density of pure water = 1*00010824, and the temperature at which it occurs 
= + 4°T08 centigrade. We have consequently, 
Q = t .OOOK 3824 C 1 + 0-000052939 r — 0-0000065322 r 2 +0-0000000144 r>) 
