296 GEOGRAPHIC TABLES AND FORMULAS. [bull. 234. 
Table 30. — For intek(.()\veksi<)N ok milks and looakithms ok meters, for dis- 
tances KROM 10 TO 100 MILKS. 
The value adopted for the meter is 39.3700 inches. Distances 
between triangulation stations are given in logarithms of meters, but 
for general use distances in miles are most frequently desired. 
The following examples illustrate use of the table: 
To find the number of miles corresponding to log. distance in meters 4. 56857 
Next lower log. in table is for 23.00 miles 4. 56838 
Difference .' ' 19 
Corresponding to tabular difference for 0.01 mile. 
Hence distance required is 23.01 miles. 
For distances less than 10 miles proceed as above; iirst adding 1 to 
the characteristic of the given logarithm and afterwards dividing the 
corresponding number of miles by 10. Example: 
Having given the log. 3.84062, which is less than any given in 
the table, and therefore for a distance less than 10 miles, adding 
1 to the characteristic of the logarithm gives 4.8-1002, which cor- 
responds to a distance of 43.05 miles. Hence the distance sought is 
43.05 
=4.305 miles. 
10 
To (;hange — (Add.) 
Log. of miles to log. of meters 3. 2066498 
Log. of yards to log. of meters 9. 9611371 
Log. of feet to log. of meters 9. 4840158 
Log. of inches to log. of meters 8. 4048346 
Log. of meters to log. of miles 6. 7933502 
Log. of meters to log. of yards 0. 0388629 
Log. of meters to log. of feet 0. 5159842 
Log, of meters to log. of inches 1. 5951654 
Table 30. — For intrr('0)irersion of miles and logarithms of meter s. 
[Prepared by S. S. Gannett.] 
Miles. 
Log. meters. 
Diff. log. 
.01 mile. 
Miles. 
Log. meters. 
Diff. log. 
.01 mile. 
Mile.s. 
Log. meters. 
Diff. log. 
.01 mile. 
10.00 
4. 20665 
43 
10.50 
4. 22784 
41 
11.00 
4. 24804 
.05 
4. 20882 
.55 
4. 22990 
.05 
4. 25001 
.10 
4. 21097 
.60 
4.23196 
.10 
4. 25197 
.15 
4. 21312 
.65 
4. 23400 
.15 
4. 25393 
.20 
4. 21525 
42 
.70 
4. 23603 
.20 
4. 25587 
.25 
4. 21737 
.75 
4. 23806 
40 
.25 
4. 25780 
.30 
4. 21949 
.80 
4. 24007 
.30 
4. 25973 
38 
.35 
4. 22159 
.85 
4. 24208 
.35 
4. 26165 
.40 
4. 22368 
.90 
4. 24408 
.40 
4. 26355 
.45 
4. 22577 
41 
.95 
4. 24606 
.45 
4. 26545 
