22 
tained in a small table for a given star. ‘The 2d correction is in- 
troduced on account of taking out in the first correction the log of 
P instead of the log sin of P reduced to seconds of space. This 
method somewhat facilitates the computation. 
Table II. Contains the equations of condition for finding e, x, p, & z. 
The column of mean zenith distance, Table I. is to be corrected by 
taking away the solar nutation, which is found with a contrary sign 
in Table III. To this quantity so corrected are applied the parallax, 
correction of aberration, and solar nutation, found in terms of p, x, 
and z, by help of Table III. where the coefficients of those quantities 
are given. The result is equal to 14°.45'56”,41—e. 
Thus, for Aug. 1, 1821, Tab. I. M. Z. Dist. 14° 45'55",81 
Tab. III. Solar Nut. — 0,17 
14° 45°55",64+,482+ ,74pt+ ,35z 
= 14° 45’ 56”,41—e 
Hence, e+,487-+,749+,352——0,77 = 0 vid. Aug. 1, 1821, Tab. II. 
Table HI. Is given principally to facilitate the formation of the 
equations of condition. ‘The solar nutation used is put down with a 
contrary sign, and therefore, being applied to the sum of the equations 
in Table I. the result does not contain the solar nutation. 
