16 
Observations of Arcturus. 
The mean zenith distance of this star Jan. 1, 1819, has been 
supposed—=33° 15’ 27”,20—e. 
The four equations resulting from 348 observations made on 
115 days, are 
1. 348¢+33,642—16,36p + 126,28z—76,96=0 
2. 33,64e4-39,9964" 411,38 56p—47,79962-+25,8384=0 
3. -16,36e+11,3856%-+90,0412p—10, 8096z—47, 1152 =0 
4, 126,28e—47,7996x—10,8096p + 238,8556z—134,9456=0 
Hence 
Z= +0,4430 
p= +0,6524 
x= —0,4123 
e= +0,1909 
The value of = is exact to less than 3 of a second, notwithstand- 
ing the observations were not made at the times most favourable for 
finding the value of z. This will appear from a comparison of the 
coefficients of = in equation 1 and equation 4. The coefficients of x 
in equation | and equation 2 also shew, that these observations are 
still more unfavourable for finding the exact value of x. The coef- 
ficients of p in equation 1 and equation 3 shew, on the contrary, the 
equations are well adapted for finding the value of p. 
The three equations giving probably more exact values are 
1. 348e+33,642—16,36p—13,96=0 
2. 33,64e+39,99647-+11,3856p +1,6388=0 
3. -16,36e + 11,3856x + 90,041 2p—52,4356=0 
These give 
p= +0/,6393 or 2p=1",28 
2 = —0",3069 or const. aberr. 19,94 
e= + ,0999 or mean N. P. D. Jan. 1, 1819=69° 52’ 13%, 60 
