516 Mr. milner on the 
new equator, and as a b or At is to bt , fo is the radius 
unity to the fine of the angle t A b, and if AQ_or ag be 
taken equal to a quadrant, gq_ the meafure of the angle 
gaqjs equal to 
§ 8. Suppofe s the Sun’s place in the ecliptic ns, n the 
equinoctial point, na the Sun’s right afcenfion, and ro a 
perpendicular on an : then ro is to GQ_as the fine of an 
to the radius, and r n to ro as the radius to the fine of the 
angle at n the inclination of the ecliptic to the equator, 
and, ex cequo perturbate , fN to gq_ as the fine of an to 
the fine of n and r n the fmall preceflion of the equi- 
noxes is equal to ^pmn x ^ . 
§ 9. In the fpherical triangle asn, the fine of an = 
cotang. n x tang, as — m x J . cof '-- , and farther the fine of 
0 0 n xun. n 7 
m 1 • i , ?.ptxhn. uY xwx cof. N 
sn=? — and is equal to , whole 
iin. n 1 
fluent or ^ x aw-fin. iwx cof. n gives the preceflion 
of the equinoxes during the Sun’s motion through the 
arc ns of the ecliptic: when ns is equal to a circle, then 
the whole fluent becomes equal to x cof. n, and as 
2T is to 3/>z t xcof.N, fo is 6ox 60 x 360 to 2 i"+ 6 "' the 
annual preceflion of the equinoxes in feconds produced 
by the Sun’s attradlion. 
