21 6 
Mr. Davies Gilbert on the 
y = 
Table III. The Catenary of equal strength. 
= 100. 
a. 
X. 
z. 
£ 
T. 
Angle. 
IOOO 
5.008288 
100. 166600 
100 * 3343 °° 
1005.020800 
° /. a 
84 16 13 
980 
5.1 10881 
100.173640 
100.348276 
985.124220 
84 912 
960 
5.217781 
100.181250 
100.363200 
965.232000 
84 i 54 
940 
5.329126 
100.188850 
100.378652 
945*344276 
83 54 16 
920 
5*445471 
100.197071 
100.395276 
925 .461672 
83 46 19 
900 
5 * 5 6 6977 
100.202654 
100.413000 
905.584230 
8 3 3 8 1 
880 
5.694003 
100.215533 
100.432288 
885.712432 
83 29 20 
860 
5.827073 
100.225792 
100.452730 
865.846882 
83 20 15 
840 
5.966s; 06 
100.237329 
100*475340 
8 45 * 9 8 777 2 
83 10 44 
820 
6. 1 12609 
100.247806 
100.497724 
826.135404 
8 3 0 45 
800 
6.266274 
100.261054 
100.523680 
806.290880 
82 50 16 
780 
6.42781 1 
100.274596 
100.551048 
786.454344 
82 39 15 
760 
6. 598152 
100.289657 
100.580680 
766.6 26896 
82 27 40 
740 
6.777369 
100.505695 
100.613064 
746.808518 
82 15 25 
720 
6.966790 
100.322732 
100.647648 
727.000675 
82 2 32 
700 
7.167238 
100.342923 
100.685480 
707.204050 
Si 4 8 53 
680 
7.379542 
100.362168 
100.726972 
687.419752 
8 1 34 26 
66 0 
7.604848 
100.384645 
100.772166 
667.647826 
8119 7 
640 
7*844443 
100. 409125 
100.821568 
647.892736 
81 251 
620 
8.099715 
100*436355 
100.876232 
628. 152876 
80 45 31 
600 
8.370382 
100.465969 
100.936080 
608.430840 
So 27 2 
580 
8.663690 
100.498855 
101 .002534 
588.728710 
80 7 17 
560 
8.976381 
100.535447 
101 .076360 
569.048704 
79 4 6 7 
540 
9.312582 
100.576282 
101 .158740 
549*393354 
79 2 3 2 3 
520 
9.675126 
100.62183 6 
101.250968 
529.765704 
7 8 5 8 53 
500 
10.067350 
100*679481 
101 .362400 
510.169400 
7 8 3 2 2 7 
480 
10.552010 
100*780247 
101 .472192 
490.668864 
7 8 3 4 8 
460 
10.956213 
100*796941 
101.605490 
471 .087748 
77 3 2 39 
440 
1 1 .462781 
100*872044 
101. 757920 
451 .613404 
76 58 41 
420 
12.018908 
100*958305 
101*933328 
432.192558 
76 21 29 
400 
12.630692 
101 *056700 
102.136560 
412.832200 
75 40 33 
380 
13.312576 
101*174410 
102.373976 
393.548520 
74 55 19 
360 
14.071210 
101*3112 36 
102.653784 
374.349852 
74 5 4 
34 ° 
14.922900 
101*473699 
102.986884 
355.255222 
73 8 53 
320 
15.886128 
101*668413 
103.387488 
336.287040 
72 5 42 
3 °o 
16.984763 
101*904940 
103.875990 
317.474760 
7 ° 54 5 
280 
18.250135 
102*196102 
104.480264 
298.858028 
69 32 14 
260 
19.729226 
102*564124 
105.241136 
280.497074 
6 7 57 47 
240 
21.465587 
103-025715 
106. 219200 
262.454784 
66 7 36 
220 
23*555838 
103*632647 
107.507994 
244.863168 
6 3 57 2 3 
200 
26. 116574 
104*447443 
109.260480 
227.898480 
61 21 7 
180 
29*336487 
105.580330 
1 1 !• 739482 
211.862484 
5810 8 
160 
33 * 525>85 
107*228464 
1 * 5*43 7376 
197.296208 
54 n 24 
140 
39.241137 
io 9 * 7798 o 3 
I2I.380952 
185.292618 
49 4 28 
120 
47.626016 
1 14. 104417 
I32.O93348 
178.461912 
42 15 12 
100 
61 . 562645 
122*6191 14 
I 55-740770 
185.081570 
32 42 15 
95 
66.748734 
126.148321 
166.629316 
191 .808059 
29 41 19 
90 
73.141390 
130.7276 76 
I 8l .797084 
202.855068 
26 20 16 
85 
81.313401 
136.905055 
204.267512 
221.246959 
22 35 35 
80 
92.332784 
* 45 * 7 *7467 
240.765568 
253.708616 
18 22 48 
75 
108.536763 
159.466590 
309.878850 
318.825817 
13 36 20 
70 
1 3 6 * 7 6 345 ° 
184.926359 
488.855143 
493.841432 
8 8 56 
