and Velocity of the Solar Motion. 213 
that should hold a middle rank between the three highest and 
three lowest of the six would be 14. In assigning the rate of 
the solar motion it appears to be most eligible that it should 
hold a middle rank among the sidereal velocities. We shall 
however find that nearly the same result will be obtained 
from either of the methods. 
With respect to our second consideration, we may see that 
it also admits of a certain modification by the choice of the 
solar motion ; for in Table IX. when this motion is P',5 the 
velocity of Arcturus 1565735, will exceed that of Sirius, 
217007, more than seven times; whereas a solar motion of 
1" will give us the proportional velocities of these stars as 
188867 to 465174; and the former will then exceed the 
latter only four times. 
Calculations for drawing Figures that will represent the observed 
Motions of the Stars. 
The necessary calculations for investigating the solar mo- 
tion are of considerable extent, and may be divided into two 
classes, the first of which will remain unaltered whatsoever 
be the solar motion under examination, while the other must 
be adjusted to every change that may be required. 
The direction of the sun remaining as it has been settled in 
the first part of this Paper, the permanent computation of 
each star will contain the annual quantity of the observed or 
apparent motion, its direction with the parallel of the star, 
its direction with the parallactic motion, and its velocity. 
The changeable part will consist of the angular quantity of 
the real motion, the parallactic direction of this motion, and 
its velocity. 
Before we can make a calculation of the required velocities, 
