mathematical theory of suspension bridges . 217 
a — 
Table IV 
100. 
— The Catenary of equal strength. 
y- 
X. 
z. 
?. 
T. 
Angle. 
1 
.oo4ggg 
.999990 
I .00001 
100.00500 
O t 11 
89 2 5 37 
2 
.020003 
2.000088 
2.00022 
100.020006 
88 51 14 
3 
.045005 
3.000431 
3 .00088 
100.045016 
88 16 52 
4 
.080021 
4.001021 
4.00208 
100.080054 
87 42 29 
5 
. 125046 
5.002067 
5.OO4I5 
100.125125 
87 8 6 
6 
.180107 
6.003541 
6.OO7I4 
100.180270 
86 33 44 
7 
.245198 
7.005697 
7 .°II 43 
100.245499 
85 59 21 
8 
•323389 
8.008498 
8.OI706 
100.320852 
85 24 58 
9 
.405548 
9.012161 
9.O2436 
100.406373 
84 50 46 
10 
.500828 
10.016660 
IO.O3343 
100.502080 
84 16 13 
1 1 
.6062x8 
I I .022229 
II.O4456 
100.608062 
83 41 50 
12 
.721234 
12.028425 
I2.O5789 
100.723845 
83 7 28 
13 
.847386 
13.036754 
13.07372 
100.850992 
82 33 5 
H 
.983205 
14.045921 
I4.O9215 
100.988063 
81 58 42 
*5 
1 .129248 
15.056560 
I 5 .II 351 
101.135644 
81 24 20 
16 
1.285490 
16.068670 
16.13791 
101 .293792 
80 49 57 
17 
1 .45201 1 
17.082468 
17.16567 
101 .462608 
80 15 34 
18 
1 .628815 
18.097959 
l8. I969X 
101 .642158 
79 4 1 I 2 
*9 
1.815961 
19.1x5360 
I9.23I97 
101.832558 
79 6 49 
20 
2.013470 
20.134658 
2O.27O97 
102.033830 
78 32 23 
21 
2.221395 
21.156371 
21.31424 
102.246255 
77 58 4 
22 
2.439770 
22.179619 
22.36191 
102.469780 
77 23 4 i 
23 
2.668651 
23.205504 
23 . 4 H 33 
102.704585 
76 49 19 
24 
2.908061 
24.233742 
24.47164 
102.950768 
76 14 56 
25 
3.158106 
25.264601 
25.53424 
103.208504 
75 40 33 
26 
3 « 4 i 8774 
26.297360 
26.60212 
103.477887 
75 6 11 
27 
3.690164 
27.334154 
27.67581 
103.759100 
74 3 i 48 
28 
3.972311 
28.373174 
28.75540 
104.052264 
73 57 25 
29 
4.265294 
29.415243 
29.84128 
104.357567 
73 23 3 
30 
4.569158 
30.460378 
30.93360 
104.675156 
72 48 40 
3 i 
4.883983 
31.508739 
32.03269 
105. 005213 
72 14 17 
32 
5.209839 
32.560521 
33 * 1 3 8 9 * 
105*347935 
7 i 39 55 
33 
5.546782 
33.61573 s 
34*25243 
105*703501 
7 i 5 32 
34 
5*8949x5 
34.674639 
35*37366 
106.072131 
70 31 9 
35 
6*254281 
35.737235 
36.50280 
106.454003 
69 56 47 
36 
6*624997 
36.803792 
37.64030 
106.849383 
69 22 24 
37 
7*007x06 
,37.874291 
38.78626 
107.258446 
68 48 2 
38 
7* 400749 
38.948988 
39.94126 
107.681495 
68 13 39 
39 
7*805967 
40.027947 
41.10545 
108.118722 
67 39 16 
40 
8*222888 
41 . 1 11407 
42.27931 
108.570433 
67 4 54 
4 i 
8*651589 
42.199404 
43.46308 
109.036870 
66 30 31 
42 
9*092196 
43.292198 
44.65724 
109.518354 
65 56 8 
43 
9* 544771 
44.389841 
45.86509 
1 10.015128 
65 21 46 
44 
10*009478 
45.492556 
47*07804 
1 10.527566 
64 47 23 
45 
10*486371 
46.600436 
48.30547 
1 1 1 .042096 
64 13 0 
46 
10*975622 
47.713735 
49.54487 
1 1 1 .600602 
63 38 38 
47 
1 1*477312 
48.832499 
50.79655 
112.161892 
63 4 15 
48 
11 *991595 
49.957023 
52.06108 
112.74021 1 
62 zq 52 
49 
12*518572 
51.088569 
53 * 34 ° 7 S 
ii 3 * 335 s 97 
61 55 32 
5 ° 
13*058418 
52.223810 
54*63024 
113.949396 
61 21 7 
