[ 915 ] 
Rad.’ : cof. lat. x cof decl. O :: fin. -j A B C 1' 
: \ rad. x verf. f. A C — verf. f. A F, 
And 
Rad.* : cof. lat. x cof. decl. Q : : fin. ~ ABD 
: 4 - rad. x verf. f. AC — verf. i. Af ; 
Alfo, 
Verf. f. AC — verf. f. AF = cof. AF — cof AC, ana 
verf. f. AD — verf. f. AF = cof. AF — cof AD. 
And thus the common tables of fines will fupply 
the ufe of this column of the new tables, as well as 
the preceding. 
The firfi; example of this treatife, wrought by the 
common tables. 
Here the declination of the fun is ftated at 1 1° 17' 
N. the altitude firfi; taken, being the lefler, 46° 55', 
the greater altitude 5-4° 7', and the difference of time 
between the obfervations i h 25™, or 85m; which, 
divided by 4, gives 21 0 15' for the arch of the equi- 
nodtial correfponding. 
Here the obfervations are both before noon j there- 
fore, in fig. 1 . the latitude being aflumed 46° 50', 
For the firfi; operation. 
AC = 35 
A D = 43 
Their fum = 78 
Their difference = 7 
Sine of v fum (39 
/ 
53 
5 
58 
12 
29 
3 6 
37 
// 
o 
o 
o 
o 
o) 
o) 
30) 
Sine of i difference ( 3 
Arith. com. of the fine of f C BD (= 10 „ 
Arith. com. of the fine of B F, or the cof. of the decl. } 
of the fun, ------- - -- --3 
Sum 
Cof. of the lat. affumed 
r A BD 4 ABC 
Diff. = fin 
9.80336 
8.79789 
0.73429 
0.00848 
19.34402 
9- 8 35 H 
6 B 
Vol. LI. 
2 
9.50889 
For 
