new Divifion of the Quadrant. 27 
fill up the fecond column to this degree of accuracy, add con- 
tinually 2°:062648 feconds, but at the gth line add x more, or 
2°062649, becaufe 9 times 062470964 amounts to 56223867, 
or more than half a unit at that place ; and after that add 1 more 
than 2°062648 at every 16th line, viz. at 25, 41, 57, 73, &c- 
becaufe 16 times 062470964 amounts to -g9953542, or nearly 
1, it being only -o0046458 lefs than 1. And this number 
700046458, thus added too much, will, in 134 times adding 
it, amount to more than 06223867, the excels of 56223867 
above 5, or half a unit, at that place; therefore at the line or 
number 2153 (or 9 +16 x 134) which would be to have the 
1 more added, let the r be there omitted, and add it at the 
next line or 2154, the true decimals after the firft fix, for 215 3 
being 499985, and for 2154 they are 562456. Continue thus 
always adding 1 more at every 16th line, except at the fol- 
lowing numbers, where the 1 must be omitted, and added at 
_ the next following number; vz. 
2153/10765|19377|27989 
36601 53825 
45253 62437|71033} 
4314:12926)21 538/303 50/38746]473 58/5 5970164582173 104 
6459)15071'23683)32295140907/4951915813 1166743175339) 
|8620|17232|25844|344.56|43052|51664|60276 68888|77 500 
And thus proceed to the middle of the quadrant ; by which 
means all the numbers will be to the neareft unit in the fixth 
or laft place. Alfo, to have a check upon thefe numbers at 
certain intervals, it may be proper to proceed in this manner: 
Firft find every 100th number, by adding its decimal -264806 
&c. verifying them at every roth; then find every 16th num- 
ber, by adding continually :002369 &c. which will alfo be 
checked and verified at every 25th addition by one of the for- 
mer fet of 100, for 25 times. 16 make 4co, ufing a proper pre- 










E 2 caution 
