mathematical theory of suspension bridges. 
213 
y= 
Table I. continued.- 
100. 
— The Ordinary Catenary. 
a. 
N. 
X. 
z. 
T. 
Angle. 
IOOO 
1 .105170 
5.004084 
100.165906 
1005.004084 
0 > « 
84 16 48 
980 
1 . 107428 
5.106408 
100. 173025 
985.106408 
84 9 49 
960 
1 .10078; 
5.213007 
100. 180582 
965.2130 07 
84 2 13 
940 
1. 1 12247 
5.324098 
100.188974 
945.324098 
83 54 58 
920 
x . 1 14822 
5.440045 
100. 196191 
925.440045 
83 47 4 
900 
1 • 1175*9 
5.561266 
100.205825 
905.561266 
83 38 48 
880 
1 • 1 2 °344 
5.687876 
100.214837 
885.6878 76 
83 30 11 
860 
1. 123309 
5.820479 
100.225255 
865.820479 
83 21 9 
840 
x . 126423 
5 . 95936 + 
100.235949 
84 S -959364 
83 11 42 
820 
1 . 129698 
6.105033 
100.247321 
826.105033 
83 1 47 
800 
1 • 133 H 8 
6.258102 
100.260296 
806.258102 
82 51 23 
780 
1 . 136785 
6.418938 
100.273356 
786.418938 
82 40 28 
760 
1 . 140627 
6.588360 
100.288153 
766.588360 
82 28 57 
740 
X . 144691 
6.767004 
100.304328 
746.767004 
82 16 50 
720 
I • 148996 
6-955577 
100.32 1527 
726.955577 
82 4 3 
700 
1.15356+ 
7.154926 
100.339869 
707.154926 
81 5 ° 33 
680 
I .158422 
7.366193 
100.360765 
687.366193 
81 36 15 
660 
1 ' 163595 
7.590181 
100.382517 
667.590181 
81 21 6 
640 
1 . 1691 18 
7.828368 
100.407143 
647.828368 
81 5 1 
620 
1-175025 
8.081923 
X°°* 43357 ° 
628.081923 
80 47 54 
600 
X. 181360 
8 352608 
100 463404 
608.352608 
80 29 40 
580 
1.188169 
8.642033 
100.495985 
588.642033 
80 10 11 
560 
I . 195508 
8.952299 
100.532176 
568.952299 
79 49 27 
540 
x >203419 
9.283888 
100.562366 
549.283888 
79 27 2 
520 
x *212043 
9.645021 
100*617335 
529.645021 
79 2 56 
500 
I *221402 
10.033315 
100.667683 
510. 0333x5 
78 36 59 
480 
I *231625 
10.454508 
100.725490 
490.454508 
78 8 55 
460 
I *242830 
10.912412 
100.789382 
473.912412 
77 38 28 
440 
1*255172 
1 1 .412622 
100.863052 
451 .412622 
77 5 23 
420 
I *268829 
1 1.961025 
100. 947150 
431.961025 
76 29 6 
400 
I *284025 
12.565207 
101 .044792 
412.565207 
75 49 22 
380 
1*301032 
I 3* 2 33994 
101 . 158163 
393* 2 33994 
75 5 35 
360 
1 .320192 
1 3*978365 
101.290757 
373.978365 
74 17 7 
340 
1 * 34*941 
14.812141 
101 .447796 
354.812141 
73 32 10 
320 
X. 366837 
15.752501 
101.635337 
335.752501 
72 22 46 
300 
*• 395612 
16.821529 
101 . 862069 
316.821529 
71 14 44 
280 
1.429239 
18.047685 
102.1 39232 
298.047685 
69 57 3 i 
260 
1 .469049 
19.468993 
102.483745 
279*468993 
68 29 13 
240 
1*516896 
21.126437 
102.893226 
261 .126437 
66 47 38 
220 
1.57542° 
23 . 1 18850 
i° 3 . 47354 8 
243.1 18850 
64 48 38 
200 
1 *648721 
25.525175 
104.219022 
225. 525*75 
62 28 34 
180 
1 * 7439°8 
28.559946 
105.343499 
208.550946 
59 39 43 
160 
1*868245 
32.280531 
106.638654 
192.280531 
56 19 0 
140 
2*042722 
37.258541 
108.722538 
177.25854! 
52 10 2 
1 20 
2, 3 oc 975 
44.134402 
1 1 1.982596 
164. 134402 
46 58 48 
100 
2.718281 
54.308027 
1 17.520071 
154.308027 
40 23 42 
95 
2.865180 
57.674415 
119.517684 
152.674415 
38 28 45 
90 
3 - 03773 I 
61.511583 
121 .884206 
I 5 1 * 5 1 *583 
36 26 34 
85 
3*240907 
65.852160 
124.624934 
1 50.852160 
34 17 44 
80 
3.490342 
7 '. 073875 
128.153485 
151.073875 
31 58 28 
75 
3.793667 
77.147407 
I 3 2 . 3776 i 6 
152. 147407 
2 9 32 4 
70 
4.172733 
^ 4*433443 
137.657866 
154*433443 
26 57 JO 
MDCCCXXVI. F f 
