Poles, 
724 Mr. hutton’s Calculations to afcertain 
Vertic. 
Angles 
at ?. 
Horizont. 
Ang. at p. 
9 5 °~ 
= 
Sines of 
Z.’s at p. 
FG-j~J.G 
-s.pzzpp 
Tang, of 
Depr. 
Sum ofCol.i 
6 and 7. = 
?p. 
Dep» 
below 
p. 
0 / 
8 45D 
0 / 
9 !5 
0 / 
85 45 
9*99880 
3*68216 
9*18728 
2*86944 
740 
8 46 
16 25 
78 35 
9 ' 99 I 3 2 
3 68964 
9*18812 
287776 
755 
9 5 8 
27 16 
67 44 
9 - 9 66 34 
3*71462 
9 24484 
2*95946 
9 1 1 
8 38 
3 ° 52 
64 8 
9 ' 954»5 
3-72681 
9*18136 
2-90817 
809 
7 6 
34 3 ° 
60 3O 
9*93970 
3-74126 
9'°9537 
2-83663 
686 
5 23 
37 55 
57 5 
9*92400 
3*75696 
8*97421 
2 * 73 * 1 7 
538 
2 
3 
4 
I 5 
1 6 
7 
i 8 
' 9 
Here it is evident is a faving of two of the moil labo- 
rious columns in the table. This happens becaufe that 
in every triangle pg p there are now conftant thofe two 
parts which are ufed in the proportion made ufe of in 
the calculation, viz. pg and the angle g. For then it is, 
as f .p : f.G : : pg : py>,or log. p/>=log. PG + f.G-f./>; fo that 
the fum of the logarithms of pg and line of z. G is a con- 
ftant number, from which the numbers in the fifth co- 
lumn are to be fubtradied, to find thofe in the fixth co- 
lumn. The reft of the work is the fame as in the firft 
example. 
As to the irregular fedtions, the computation of them 
differs fo little in manner from that of the ufual vertical 
fedtions, 
