.342 MR. GILBERT’S TABLE FOR FACILITATING THE COMPUTATIONS 
and in the event of a short and light bridge being constructed with a deflection 
less than one part in forty, the columns may be continued with an accuracy 
quite sufficient, by taking the direct proportion of the denominators for 
columns three and four, and the inverse proportion for column five. The 
numbers in column two may be neglected, as not sensibly differing, in such a 
case, from unity, or they may be found in the Table from which this has 
been derived. 
Deflections or 
Versed Sines. 
Length of the 
Chains. 
Tensions at the 
Middle Points. 
Tensions at the 
Extremities. 
Angles with the 
Horizon at the 
Extremities. 
One in 39-97 
.02502 
1.00166 
4.992 
5.017 
O / 
5 43 
39-17 
.02553 
1.00173 
4.892 
4.917 
5 50 
38.37 
.02607 
1.00181 
4.791 
4.817 
5 58 
37-57 
.02662 
1.00189 
4.691 
4.718 
6 5 
36.76 
.02720 
1.00196 
4.591 
4.618 
6 13 
35-96 
.02781 
1.00206 
4.491 
4.519 
6 21 
35.16 
.02844 
1.00215 
4.391 
4.419 
6 30 
34.36 
.02910 
1.00225 
4.290 
4.319 
6 39 
33.56 
.02980 
1.00236 
4.190 
4.220 
6 48 
32.76 
.03053 
1.00247 
4.090 
4.121 
6 58 
31-96 
.03129 
1.00260 
3.989 
4.0.21 
7 9 
31.16 
.03210 
1.00273 
3.889 
3.921 
7 22 
30.36 
.03294 
1.00288 
3.789 
3.822 
7 31 
29-56 
.03384 
1.00304 
3.689 
3.723 
7 43 
28.75 
.03478 
1.00322 
3.588 
3.623 
7 56 
27-95 
.03577 
1.00340 
3.488 
3.524 
8 9 
27-15 
.03683 
1.00360 
3.388 
3.425 
8 24 
26.35 
.03795 
1.00383 
3.287 
3.325 
8 39 
25.55 
.03914 
1.00407 
3.187 
3.226 
8 55 
24.75 
.04041 
1.00434 < 
3.087 
3.126 
9 12 
