218 Mr. Davies Gilbert on the mathematical theory , &c. 
Table IV. continued. — The Catenary of equal strength. 
a — 100. 
y- 
X. 
2. 
?• 
T. 
Angle. 
5 * 
13.611226 
53.366417 
55-93584 
1 14.581052 
60 46 44 
5 2 
14.177189 
54.515494 
57.25618 
* 15 - 23*377 
60 12 22 
S 3 
14. 7564° 1 
55.676950 
58.59167 
115.900748 
59 37 59 
S 4 
I 5 * 349°77 
56.833577 
59.94296 
116.589191 
59 3 36 
55 
*5-955315 
58.002974 
61.31049 
1 17.298661 
58 29 14 
5 6 
66 - 57534 6 
59.179619 
62.60405 
118.028208 
57 54 51 
57 
17.209276 
60. 36360Q 
64.09682 
118.778802 
57 20 29 
58 
* 7 - 8573 i 3 
61.555215 
65.51678 
119. 55*032 
56 46 6 
59 
18.519676 
62.754711 
66.95554 
120. 345521 
56 11 43 
60 
19. 19649 1 
63.962210 
68.41362 
121. 162801 
55 37 21 
61 
19.888020 
65.178046 
69.89186 
122.003580 
55 2 58 
62 
20. 594400 
66.402358 
71.39084 
122.868440 
54 28 35 
63 
21.31591° 
67.635500 
72.91145 
* 23 . 75 8 *55 
53 54 *3 
64 
22.052701 
68.877606 
74-45432 
*24.673361 
53 *9 5 ° 
65 
22.805074 
70. 129059 
76.02042 
125.614906 
52 45 27 
66 
23.573186 
71.389994 
77.61043 
126.583487 
52 11 5 
67 
2 4 - 35737 * 
72.660825 
79.22540 
127.580036 
5 * 36 42 
68 
25.157787 
73 . 94 l6 97 
80.86608 
128.605306 
51 2 19 
69 
2 5-974778 
75.233031 
82.53360 
129.660301 
5 ° 27 57 
70 
26.808551 
76.535188 
84.22878 
130.745895 
49 53 34 
7 1 
27.659459 
77.848058 
85.95285 
131 .863168 
49 *9 *i 
72 
28.52771° 
79,172384 
87.70674 
133.013056 
48 44 49 
73 
29.4*3697 
80.508436 
89.49*75 
*34.19677* 
48 10 26 
74 
30-317647 
81.856432 
91.30890 
* 35 - 4*5343 
47 36 4 
75 
3**239989 
83.216866 
93.15964 
1 36.6701 1 2 
47 * 4 * 
76 
32.180961 
84.58996 6 
95.045*0 
137.962209 
46 27 18 
77 
33.140961 
85 - 9759 6 3 
96.96618 
*39.293095 
45 52 56 
73 
34.120421 
87.375961 
98.9261 1 
140.664048 
45 *8 33 
79 
35.119618 
88.789594 
100-92453 
142.076604 
44 44 *0 
80 
36.13905* 
90.214639 
102.96381 
* 43-532386 
44 9 48 
8 1 
37 -* 79°43 
91 .660396 
105. 04542 
145.032900 
43 35 2 5 
82 
38.2401 1 1 
93.118455 
107.17133 
*46.579992 
43 1 2 
83 
39.322622 
94.592159 
109.3432° 
* 48.175357 
42 26 40 
84 
40.427139 
96.082135 
1 * * -56319 
149.821051 
4 * 52 17 
85 
41-554052 
97-588753 
113.82816 
151.518952 
4 * *7 54 
86 
42-703981 
99. 1 12699 
116.15555 
153.271369 
40 43 32 
87 
43 - 87735 0 
100.654374 
H8.53239 
*55.080397 
40 9 9 
88 
45-074822 
102.214506 
120.96637 
156.948608 
39 34 46 
89 
46.296874 
*° 3-793554 
*23.45986 
158.878369 
39 0 24 
90 
47 - 54423 I 
*° 5 - 39 22 9 * 
126.01578 
160.872559 
38 26 1 
91 
48-81741 1 
107.01 1233 
128.63685 
162.933851 
37 5 * 39 
92 
50.117199 
108.651210 
131.32634 
165 .065469 
37 *7 16 
93 
5 1 * 444*73 
110.312786 
134.08729 
167.270444 
36 42 53 
94 
52-799201 
1 1 1 .996881 
136.92343 
*69.552431 
36 8 31 
95 
54-182891 
1 1 3 • 704104 
139.83S16 
171.914846 
35 34 8 
96 
55-596244 
**5-435462 
142.83573 
174.361831 
34 59 45 
97 
57-039914 
117.191641 
145.92002 
176.897299 
34 25 23 
98 
58.514946 
118.973717 
149.09580 
* 79 - 52593 * 
33 5 * 0 
99 
60-032087 
120.782488 
*52.36759 
182.252247 
33 *6 37 
100 
61.562647 
1 
122.619117 
* 55 - 74°77 
185 .081573 
32 42 15 
