TRACT 29.
DIVISION OF THE QUADRANT.
125
•63268, in every number in tlie latter half quadrant, in eachpage, may be placed either at the bottom of the column,or lengthways on the sides of it.
7. A specimen of the first page of the table will thereforebe as follows:
Arcs
0 / /
Sines.
Tang.
Secants.
Cosec.
Cotan.
Cosin.
O / //
Arcs.
0
0
0 0
ooooo-oo
00000-00
100000-00
infin.
inOn.
100000-00
90 0 0
79
1
2
1-00
78
2
4
2-00
77
3
6
3 00
76
4
8
4 00
75
&c
&c
80
)
•
o
&c
07
&c §
96
S3 ”
97
82 +
98
81
99
80
Arcs)
o
, „
Cosin.
Cotan.
Cos or.
Secants.
Tan,?.
Sines.
O / //
Arcs.
8. To fill up the second column: Since the length of thequadrant is 157079-63267948966, and the number of se-conds in the quadrant is 90 x 60 x 60 = 324000 ; there-fore, as 157079-632 See : 324000 :: 1 : 2-062648062470964 =the number of seconds answering to each unit in our divi-sion of the quadrant, and which therefore, being con-tinually added, will fill up the second column.
9. The number of seconds to be always added, being 2,and the decimal -062648062470964, which is nearly equalto -jig-, for -jig. is -0625 ; therefore, besides adding 2 everytime, we must also add l" more at every 16, which willmake 3" to be added at every 16th time, and 2" at everyother time besides; but the first time the 3" must be addedwill be at the arc or number 8, to have them to the nearestsecond, the repetition of the fraction at the arc 8 amounting