[ 44 ° ] 
tude of the place being 65“. 50'. 50'^ and the point 
of the equinotflial culminating 25°. 36'. 24'', from 
the firft point of Aries. 
This cafe relates to fig. i. and the computation will 
ftand thus, 
For the diftance of the nonagefime degree from 
the zenith. 
Diftance of E in confequnce 
from A, the equinoctial point J 25 ' 3^’^4 
Add 90- o- ° 
Gives the angle HID 1 i i;. 36.24 
Half HID 57.48.12 
HI, the obliquity of the ecliptic! 
ufed by Dr. Halley J 
ID, the complement of the latitude 24. Q.to 
Natural number correfponding o.i 1676 
Its double, to be deduCled from 0.23352 
the nat. cofmeof ID :/3 1 H(o°40'.io".) 0.99993 
leaves the nat. cofine of HD (39. 58. o.) 076641 
Therefore DF is 50. 2. o. 
For the arch AF 
Coftne of DF, or fine of HD (co. arith.) 
Cofine of the latitude, or fine of ID 
Cofine of A E 
Cofine of thelong.of the90thdeg.(54°.56'.24".) 
L. Sines 
9.92749 
992749 
9.60041 
0.6; 190 
9.06729 
Sum, thrice 
rad. deducted 
0.19223 
9.61 i9r 
9‘95SI0 
9.75924 
The arch HD might have been computed by the 
verfed line of the angle HID. But I chufe the me- 
thod above ; very few logarithmic tables having the 
logarithmic verfed fines. Sir J. Moore, and Sherwin 
have given indeed fuch tables, but they are imperfcdl, 
extending only to a quadrant. 
o Moreover, 
