360 Mr. Woolhouse on the Deposit of Submarine Cables. 
The values of ia fang if required, must be found, as before, by 
0 
the method of quadratures. As an example, I have taken the 
case of e=2, B!=1 B, py=1, and carefully calculated the coor- 
dinates, &c. from the general formule ; and the results are given 
in the following Table: — 
Table for e=2, B’=1B, p)>=1. 
dy 
dz = =— 
he : o. =— Nh, dh x. : 
q dh Toa ¥ 
° i 
-00 0 0 0:0] 070711 | 1:00000} 0:00000 | 0:00000 
‘01 1 7 55-0| 072557 | 1:01004| 014265 | 0:01005 
“02 2 | 10 58:3) 074418 | 1-02021| 0-20349 | 0:02020 
-03 3 | 13 97] 0:76294 | 1-:03043| 0-25137 | 0:03045 
“04 4 | 14 540] 0-78230 | 1:04076| 0:29276| 0:04081 
“05 5 | 16 19:7| 0-80227 | 105111] 0:°33016| 0-05127 
06 6 | 17 32:5| 0-82270 | 1-06165| 0:36483| 0-06183 
07 7 | 18 35-0| 084376 | 1-07224| 0:39753) 0-07250 
08 8 | 19 29-:7| 08653) | 1-:08288) 0:42874| 0-08328 
09 9 | 20 17-°8| 088712 | 1:09365| 0:45880| 0:09416 
10 10 | 21 0-4} 0-90944 | 1-10451| 0-48795 | 0:10515 
‘ll 11 | 21 38:4} 0-93287 | 1-11548| 0:51637 | 0°11625 
12 12 | 22 126} 0:95578 | 1-12655 | 0°54421) 0-12746 
13 13 | 22 43:0| 097967 | 1:13771| 0:°57158| 0:13878 
14 14 | 23 10:7} 1-00408 | 1-14897| 059858) 0:15021 
“15 15 | 23 35:6} 1-02891 | 1-16027| 0°62528) 0:16176 
16 16 | 23 580} 1:05487 | 1:17174| 0-65174| 0-17342 
17 17. | 24 18:3} 1-08029 | 1-18329| 0-67802| 0-18520 
18 18 | 24 37-2} 1:10649 | 1:19495| 0-70416| 0-19709 
“19 19 | 24 54:0] 1-138316 | 1-20670| 0-73020) 0-20910 
“20 20 | 25 938! 1-16038 | 1-21862] 0:75617 | 0:22123 
“21 21 | 25 23:5) 1-18806 | 1:23058 | 0°78210| 0:23348 
*22 22 | 25 36-3| 1:21607 | 1:24265 | 0:80802) 0:24585 
23 23 | 25 48:2} 1-24477 | 1-25490| 0:83396 | 0:25833 
“24 24 | 25 58-7) 1:27397 | 1-26721| 085994) 0-27094 
“25 25 | 26 87) 1:30341 | 1:27962| 088598) 0:28367 
26 26 | 26 17-7} 1:338343 | 1-29217 | 0°91209| 0:29653 
27 27 + | 26 26:0} 1:36392 | 1:30482| 0:93829] 0-30951 
28 28 | 26 33:7] 1:39483 | 1:31762 | 0°96459| 0:32262 
29 29 | 26 40-7| 1:42617 | 1:38052| 0:99101] 0°33586 
“30 30 | 26 47-0| 1-45801 | 1:34360)| 1:01756| 0:34923 
— oe ies | 
The curve thus calculated will bea type for all the forms which 
can arise when e=2, as they will only differ as regards the scale 
of measurement *. 
When B’/=0, the calculated results are as follows :— 
* The Astronomer Royal has tabulated the coordinates, for the same 
value of e, on the hypothesis of the resistances varying simply as the velo- 
city, which will be found to give to the curve too low a position, as might 
have been inferred by comparing the limiting angles exhibited in the fore- 
going Tables. 
