722 Mr. hutton’s Calculations to afcertain 
Poles. 
Dep. and 
Kiev. at s. 
Horiz. 
Ang. atR. 
Tang, of 
vert, zl’s 
at s. 
Tang, of 
Z.’ S R. 
Sum of 
Columns 
4 and 5. 
6th-{-RS 
-Log- 
Alt. 
Depth 
and 
Alt. 
I 
o / 
5 r6|D 
0 / 
10 0 
8-96533 
9-24632 
8*21165 
1-36105 
23D 
2 
O 30 E 
3 1 35 
7*94086 
9-78874 
7*72960 
0*87899 
7 |a 
3 
4 15 
41 56 
8*87106 
9-95342 
8-82448 
1-97388 
94 
4 
6 Hi 
49 25 
9*03861 
10*06722 
9-10583 
2-25523 
180 
5 
8 16 ; 
55 5if 
9*16224 
10*16870 
9-33094 
2-48033 
302 
6 
10 13 
59 57 § 
9-25582 
10-23783 
949365 
2-64305 
440 
7 
n 37 
62 56J 
9-31297 
1029174 
9*60471 
2-75411 
568 
8 
12 25 
65 3 i 
9-34276 
10-33257 
9-67533 
2*82472 
668 
9 
13 21 
66 415 
9-37532 
10-36568 
9-74100 
2*89040 
777 
IO 
14 10 
67 3 6 ? 
9*40212 
10-38519 
9-78731 
2-93671 
864 
ii 
1 5 i 7 
68 42I 
9-43657 
10-40925 
9-84582 
2-99522 
989 
12 
17 46 
70 58 
9-50572 
10.46221 
9-96793 
3 " 1 1 7 33 
131° 
13 
*9 33 
72 48 
9-55035 
10-50927 
10*05962 
3-20902 
1618 
i4 
20 6 
74 30 
9-56342 
1055701 
10*12043 
3-26983 
1861 
i 
2 
3 
4 
5 
6 
7 
8 
In this form there are three columns lefs than in the 
former, by which it happens, that about one-third of the 
labour is faved. The method of folution is thus; as 
i (radius) : tang, r : : rs : sp = rs x t. r ; and again, as 
i : tang, s (vertical angle) : : sp : sp x t. s = rs x t. r. x t. s . Or, 
in logarithms, log. Rs+t. R+t. s=log. of the vertical per- 
pendicular : and by this theorem, it is evident, the co- 
lumns of this table are conftrutted. 
But 
