50 
BULLETIN 835, U. S. DEPARTMENT OF AGRICULTURE. 
Table 31 
-Flume 31. 
X 
(days) 
(inches) 
log I 
(log 
days) 
log y 
(log 
inches) 
V'l 
y-z=yi 
- v 
Icg^ 
2/2-r5.5 
leg (y-2 
+5.5) 
9.C31 
+ 1.06 
leg I 
-v- 1 
21.30 
a-o.4- 
(0.43 | 
J1-C6 
—5.5) 
A 
1 
2 
3 
20.00 
28.45 
33.75 

.301 
.477 
1.301 
1.454 
1.528 
20.00 
28.21 
33.96 

-.24 
.21 

9.380 
9.322 
4 
5 
G 
7 
8 
37.90 
41.20 
44.60 
47.00 
49.15 
.602 
.699 
.778 
.845 
.903 
1.579 
1.615 
1.649 
1.672 
1.692 
37.24 
40.71 
43.80 
46.59 
49.14 
-.66 
.51 
-.40 
-.41 
-.01 
9.820 
9.708 
9.602 
9.613 


9 
10 
11 
12 
13 
51.30 
53.30 
55. 60 
57.50 
59.05 
.954 
1.000 
1.041 
1.079 
1.114 
1.710 
1.727 
1.748 
1.750 
1.771 
51.51 
53.73 
55.81 
57.79 
59.67 
.21 
.43 
.21 
.29 
.62 
9.322 
9.633 
9.322 
9. 462 
9.792 
i 
l 
1 
6.12 
.793 
.812 
58.68 
-0.37 
14 
60.03 
1.146 
1.778 
61.47 
1.44 
.158 
6.94 
.841 
.846 
59.96 
-0.07 
15 
61.40 
1.176 
1.788 
63.19 
1.79 
.253 
7.29 
.863 
.878 
61.14 
-0.26 
16 
62.35 
1.-204 
1.794 
64.84 
2.49 
.396 
7.99 
.903 
.907 
62.37 
+0.02 
17 
63.25 
1.230 
1.801 
66.43 
3.18 
5.07 
8.68 
.939 
.935 
63.32 
+ 0.07 
18 
64.15 
1.255 
1.807 
67.97 
3.82 
.582 
9.32 
.969 
.962 
64.31 
+0.16 
19 
65.20 
1.279 
1.814 
69.46 
4.26 
.629 
9.76 
.989 
.987 
65. 26 
+0.05 
20 
66.15 
1.301 
1.821 
70.89 
4.74 
.675 
10.24 
1.010 
1.010 
86.15 
o.co 
21 
67.10 
1.322 
1.827 
72.29 
5.19 
.715 
10.69 
1.029 
1.033 
67.00 
-0. 10 
22 
67.90 
1.342 
1.832 
73.65 
5.75 
.760 
11.25 
1.053 
1.053 
67. 85 
-0.05 
24 
69.35 
1.380 
1.841 
76.26 
6.91 
.840 
12.41 
1.094 
1.094 
89.34 
-0.01 
25 
70.30 
1.398 
1.847 
77.51 
7.21 
.858 
12.71 
1.104 
1.114 
70.01 
-0.29 
27 
71.45 
1.431 
1.854 
79.94 
8.49 
.929 
13.99 
1.146 
1.148 
71.38 
-0.07 
29 
72.60 
1.462 
1.861 
82.25 
9.65 
.985 
15.15 
1.180 
1.181 
72.58 
-0.02 
30 
73.02 
1.477 
1.863 
83.38 
10.36 
1.015 
15.86 
1.200 
1.196 
73.18 
+0.16 
32 
74.35 
1.505 
1.871 
85. 56 
11.21 
1.050 
16.71 
1.223 
1.226 
74.23 
-0.12 
35 
75.80 
1.544 
1.880 
88.68 
12.88 
1.110 
18.38 
1.264 
1.267 
75.69 
-0.11 
38 
77.25 
1.580 
1.888 
91.64 
14.39 
1.158 
19.89 
1.299 
1.306 
76.91 
-0.34 
43 
78.90 
1.633 
1.897 
96.29 
17.39 
1.240 
22.89 
1.360 
1.363 
78.72 
-0.18 
46 
79.95 
1.663 
1.903 
98.93 
18.98 
1.278 
24.48 
1.389 
1.394 
79. 66 
-0.29 
49 
80. 60 
1.690 
1.906 
101.45 
20.85 
1.319 
26.35 
1.421 
1.423 
80.48 
-0.12 
55 
81.90 
1.740 
1.913 
106. 25 
24.35 
1.387 
29.85 
1.475 
1.475 
81.90 
0.03 
ye, distances in inches computed by using the formula derived for flume 31. 
In table 37 are given the data obtained from flume 31, the 
logarithms of x and y being tabulated. Figure 9 shows that the 
logarithmic curves between log x, log y, and x and y are not straight, 
so that the curve is not a simple parabola or exponential curve. The 
curve between log x and log y is straight up to 12 clays. Thus the 
curve is a simple parabola for values of x less than 12. The 12 sets 
of observations are divided into two groups of six each and the 
formula derived as explained for flume No. 12. 
log x 
2 G =2.857 
2—5.823 
A =2.966 
«_L182 
log 
2.966 
=8.680 
:0.40 
8.680 xn— 
log y 1 2 fl = 9.126 
£ G = 10.30S 
<\ = 1.182 
log ?aS 12 =19.435 
3.172 
A =15.962 
15.962-j-12 = 1.330=log a 
log ^=1.330+0.40 log x 
y 1= 21.39 x - 4 
