Mr. Woolhouse on the Deposit of Submarine Cables. 361 
Table for e=2, B'=0, pp>=1. 
] 
Ye |) ge 
0-:00000 || 16 
0:01005 | 17 
0:02020 | 18 
0:03045 | 19 
0:04081 || 20 
0:05127 | 
T—a. 2 
117351 
118530 
1:19721 
1-20924 
1:22140 
1:23368 
T-a. 2. y- 
0:17351 
0°18530 
0°19721 
020924 
0:22140 
0°23368 
0°65203 
0-67835 
0:70453 
0°73062 
0°75665 
0°78265 
0:00000 
0°14265 
020349 
0:25138 
0:29279 
0:33020 
1-00000 | 
1-01005 | 
1-02020 | 
1-03045 
1-04081 
1:05127 21 
106184 
1:07251 
1-08329 
036488 
0:39759 
042881 
0:06184 
0:07251 | 
0:08329 | 
1-24608 
1-25860 
1:27125 
080864 
0°83465 
086071 
0:24608 
0°25860 
0:27125 
028402 
0:29692 
0°30996 
0:32313 
0:33643 
034986 
1-28402 
1:29692 
1:30996 
132313 
1:33643 
1-34986 
0:88683 
0:91303 
0:93933 
0:96374 
0:99227 
1:01894 
0:45888 
0:48805 
051650 
054437 
1-09418 
1:10518 
1:11628 
112750 
0-09418 | 
0°10518. 
0-11628 
0°12750_ 
113883 | 0:57177 | 0-13883. 
1-15027 | 059880 0-15027, 
1-16183 | 0°62553. 016183 | 
i 
EEGEESeovannewns|* 
The extreme coordinates contained in the first Table are 
2=1-01756, y=0-34923. From the second Table, when Bi=0, 
for the same value of « the interpolated value of y is 0°34917, 
being only 0-00006 in defect, which would not be appreciable in 
any drawing of the curve; and for higher values of e the ap- 
proximation will be still nearer. 
Similar Tables might be constructed for other values of e. 
From equations (10), (14), and (15) we have 
4 a6) 
. Ta 
Or, putting ryan 
ray { ew) 
2 
tan (0p) =0,(Y—) RN 
1+02 
C 
When y¥ is taken equal to 1, 2, 3, &c., the values of calculated 
from this formula are shown in the following Table :— 
y =1—(7**. cos@—a 
T—a l—a ecoswo+l 
(17) 
Table of Inclinations (a). 
T-a 
= e=— i e=2, e=3. e=4. e=5. 
y 
° i ° ul ° o 
3 18 55-2| 14 15-0| 11 25-0] § 310) 8 11-0 
Ba] oy 93 yo” ” ”» oo” wa 99 
0| 18 54:8) ,, ,, mo” 49 99; ”» oo” 
2) 18 52-2 ” ” ” ” ” ” ” ” 
3| 18 45°0| 14 14:7 ” ” ” ” ” ” 
*3| 18 34:2) 14 13:7] 5, 5, » oo” » oo” 
2) 18 20:0} 14 11°8 ” ” ” ” ” ” 
‘4118 35] 14 9-0] 11 247] ,, ,, ” oo” 
‘6| 17 46:0 14 50} 11 24:0 ” ” ” ” 
‘6| 17 28:0) 14 0-0| 1] 230] ,, ,, yo” 
6117 93) 138 54:7) 11 22:0) 9 305) , ,, 
‘| 16 518 8:3 
