214 
Mr. Davies Gilbert on the 
a = 100. 
Table II. — The Ordinary Catenary. 
N. 
y- 
X. 
z. 
T. 
Angle. 
i .010050 
1 
.004999 
1 .000000 
100.004999 
O 1 n 
89 25 39 
1 .020201 
2 
.020000 
2.000100 
100.020000 
88 51 15 
1 .030454 
3 
.045001 
3.000398 
100. 045001 
88 16 53 
1 .040810 
4 
.080007 
4.000992 
100.080007 
87 42 31 
1 .051271 
5 
.125025 
5.002074 
100. 125025 
87 811 
1 .061836 
6 
.180050 
6 * oo 354 ° 
100.180050 
86 33 51 
1 .072508 
7 
.245098 
7.005701 
100.245098 
85 59 33 
1 .083287 
8 
.320170 
8.008520 
100. 320170 
85 25 16 
1. 0941 74 
9 
.405271 
9.012128 
100. 405271 
84 5i 1 
1 . 105170 
10 
.500408 
10.016591 
100.500408 
84 16 48 
1 . 1 16278 
1 1 
.605609 
1 1 .022190 
100.605609 
83 42 36 
1 . 127496 
12 
.720855 
12.028744 
100.720855 
83 8 37 
1.138828 
13 
.84618 6 
13.036613 
100.846186 
82 34 20 
1. 150273 
14 
.981591 
14.045708 
100.981591 
82 0 14 
1 . 161834 
15 
1. 127107 
15.056292 
101. 127107 
81 26 15 
1.17351° 
16 
1.282710 
16.068289 
101*282710 
80 52 17 
j. 185304 
17 
1 .448471 
17.081928 
101 *448471 
80 18 22 
1 . 19721 7 
18 
1.624373 
18.097326 
101*624373 
79 44 3 i 
1 .209249 
'9 
1 .810427 
19. 1 14472 
101*810427 
79 10 43 
1 . 221402 
20 
2.006663 
20.133536 
102*006663 
7 8 36 59 
1.233678 
21 
2.213114 
21 . 154685 
102.2131 14 
7 8 3 19 
i .246076 
22 
2.429763 
22.177836 
102*429763 
77 2 9 43 
1 .258600 
23 
2.656680 
23.203319 
102*656680 
76 56 1 1 
1 .271249 
24 
2.893847 
24.231042 
102*893847 
76 22 45 
1 .284025 
25 
3.141302 
25.261197 
103. 141302 
75 49 22 
1.296929 
26 
3.399061 
26.293838 
103*399061 
75 16 5 
1.309964 
27 
3.667187 
27.329212 
103*667187 
74 42 53 
1.323**9 
28 
3.945662 
28.367237 
103.945662 
74 9 4 6 
1*336427 
29 
4.234542 
29.408157 
J04. 234542 
73 36 44 
1.349858 
3 ° 
4*533833 
30.451966 
104.533833 
73 3 4 8 
1.363424 
3 i 
4*843577 
31 .498822 
104.843577 
72 30 58 
1. 377127 
32 
5. 163822 
32.548877 
105.163822 
71 5 8 13 
1.390968 
33 
5.494589 
33.602210 
105.494589 
7 1 25 35 
1.404947 
34 
5.835881 
34.658818 
105.835881 
7 ° 53 3 
1 .419067 
35 
6.187768 
35*718931 
106.187768 
70 20 36 
1-433329 
36 
6.550276 
36.782623 
106.550276 
69 48 18 
1 •447734 
37 
6.923431 
37.849968 
106.923431 
69 16 6 
1 .462284 
38 
7.307284 
38.921115 
107.307284 
68 44 0 
1 .476980 
39 
7.701863 
39.996336 
107.701863 
68 12 1 
1 .491824 
40 
8.107217 
41 .075182 
108.107217 
67 40 10 
1 .506817 
41 
8.523379 
42.158320 
108.523379 
67 8 25 
1 .521961 
42 
8.950402 
43.245697 
108.950402 
66 36 48 
i *537257 
43 
9*388315 
44 . 3373 8 4 
109.388315 
66 5 19 
1 .552706 
44 
9.837146 
45*433453 
109.837146 
65 33 57 
1.568312 
45 
10.297011 
46.534188 
1 10.29701 1 
65 2 43 
1.584073 
46 
10.767851 
47.639448 
1 10.767851 
64 31 46 
1.599994 
47 
11.249817 
48.749582 
1 1 1 .249817 
64 0 39 
1.616074 
48 
11.742877 
49.864522 
111.742877 
63 29 49 
1.632315 
49 
12.247092 
50.984407 
112.247092 
63 59 7 
1.648721 
5 ° 
12.762587 
52.109512 
112.762587 
62 28 34 
