Mr, Ivory on the astronomical refractions. 
49S 
TABLE I. continued. 
Distance 
from 
Zenith. 
80 
Log. 8 0 
Diff. 
dU 
dr 
(/8 0 
dp 
Distance 
from 
Zenith. 
S 3 
Log. 8 3 
Diff. 
dS$ 
d t 
d 80 
dp 
o / 
00 00 
IO 
20 
30 
40 
5 ° 
/ // 
5 20.19 
25.36 
30.70 
36.20 
41.88 
47-74 
2.50541 
2 - 5 I2 37 
2.51944 
2.52660 
2-53387 
2.54125 
696 
707 
716 
727 
738 
749 
759 
772 
785 
797 
81 1 
824 
838 
851 
866 
883 
899 
914 
93 i 
949 
967 
986 
1006 
1026 
IQ 47 
1069 
1092 
1 1 15 
1 *39 
1 165 
0.030 
0.03 1 
0.034 
0.034 
0.036 
0.038 
0.04 
° / 
85 OO 
IO 
20 
30 
40 
50 
/ // 
9 53-84 
10 10.35 
27-73 
46.03 
11 5.30 
25.66 
2.77367 
2.78558 
2-79777 
2.81025 
2.82302 
2.8361 1 
II91 
1219 
1248 
1277 
1309 
1 34 ° 
1 3 74 
1410 
H 47 
H 8 4 
1 5 23 
1565 
1608 
i6 54 
1701 
1749 
1 801 
1855 
1909 
1967 
2026 
2089 
2155 
2221 
2290 
2361 
2434 
2509 
2584 
2667 
0.159 
0.171 
0.184 
0.198 
0.213 
0.229 
0.25 
0.26 
0.28 
0.3 1 
0-33 
0.36 
81 00 
10 
20 
3 ° 
40 
5 ° 
53-79 
6 0.04 
6.50 
13.18 
20.09 
27.26 
2.54874 
2.55635 
2.56407 
2.57192 
2.57989 
2.58800 
0.040 
0.042 
0.044 
0.046 
0.049 
0.051 
0.05 
0.07 
86 00 
10 
20 
30 
40 
5 o 
47- 1 5 
12 9.88 
33-97 
59-51 
13 26.61 
55.40 
2.84951 
2.86325 
2-87735 
2.891 82 
2.90666 
2.92189 
0.248 
0.269 
0.292 
0-317 
o -345 
0.376 
o -39 
0.43 
0.47 
0.51 
0.56 
0.62 
82 00 
10 
20 
3 ° 
40 
5 ° 
34.68 
4 2 -37 
5°-33 
58.59 
7 7 -i 9 
16.13 
2.59624 
2.60462 
2.61313 
2.62179 
2.63062 
2.63961 
0-053 
0.057 
0.060 
0.063 
0.067 
0.071 
0.08 
0.10 
87 00 
10 
20 
3 ° 
4 ° 
5 ° 
14 26.04 
58.71 
15 33.60 
16 10.89 
50.8 
17 33-6 
2-93754 
2.95362 
2.97016 
2.98717 
3.00466 
3.02267 
0.410 
0.448 
0.490 
0.538 
o -593 
0.654 
0.68 
0.75 
0.83 
0.91 
I.OI 
i-i 3 
83 00 
10 
20 
3 ° 
40 
5 ° 
25.40 
35-05 
45 -io 
55-58 
8 6.50 
1 7 - 9 ° 
2.64875 
2.65806 
2.66755 
2.67722 
2.6S708 
2.69714 
0.074 
0.079 
0.084 
0.089 
0.095 
O.IOI 
0.1 1 
0.13 
88 00 
10 
20 
3 ° 
4 ° 
50 
18 19.6 
19 9.0 
20 2.2 
59.6 
22 1.7 
23 8.9 
3.04122 
3.0603 1 
3.07998 
3.10024 
3 • 1 2 1 13 
3.14268 
0.722 
0.799 
0.S87 
0.987 
I.IOI 
1.231 
1.26 
1.41 
1.59 
1.79 
2.02 
2.29 
84 00 
10 
20 
3 ° 
40 
5 ° 
29.80 
42.24 
55- 2 5 
9 8.88 
23.16 
38.12 
2.70740 
2.71787 
2.72856 
2.73948 
2.75063 
2.76202 
0.107 
0. 1 14 
0.122 
O.I3O 
0.139 
0-149 
o.i 6 
0.20 
89 00 
10 
20 
30 
40 
5 ° 
24 21.8 
25 4°-9 
27 7 -i 
28 40.8 
30 23.2 
32 15.0 
3.16489 
3-18779 
3.21140 
3-23574 
3.26083 
3.28667 
1.380 
i- 55 i 
1.749 
1-977 
2.241 
2.549 
2.61 
2.98 
3-41 
3 - 93 
4 - 54 
5.26 
85 00 
53- 8 4 
2.77367 
1 
°- I 59 
0.25 
90 00 
1 
34 1 7-5 
3-31334 
2.909 
6.12 
