V. 

 Results. 



Least-square solutions entirely similar to that given in detail 

 in the last section lead to the following values of p, r, etc., for 

 the various plates : 



Constants op the Plates. 













Probable 







Probable 



Plate. 





P 





r 



Error of 

 p or r. 



k 



c 



Error of 

 k or c. 



I. 



+O.OOOIOO 



+0 



001054 



±0.000037 



— O.06 



0.00 



±0.075 



II. 



4- 



125 



+ 



844 



± 45 



—0.18 



—0.15 



±0.092 



III. 



+ 



125 



+ 



409 



± 32 



— 0.22 



—0.06 



±0.066 



IV. 



+ 



209 



+ 



1435 



± 41 



0.00 



—0.03 



±0.082 



V. 



+ 



261 



+ 



172 



± 22 



— O.OI 



+O.OI 



±0.044 



VII. 



+ 



342 



— 



35 



± 24 



+0.02 



— 0.04 



±0.049 



VIII. 



+ 



352 



+ 



211 



± 30 



+0.08 



+0.01 



±0.061 



IX. 



+ 



365 



— 



326 



± 24 



— 0.06 



— O.OI 



±0.048 



The average probable error of p or r is 



±0.000032 



which corresponds to an uncertainty of about o" .06 in the coor- 

 dinates of the outrying stars. The great diversity in the values 

 of r is due in small part to corrections for precession, nutation 

 and aberration, but chiefly to the accidental position in which 

 the plate was inserted in the measuring machine. 



The following are the residuals for the five comparison stars, 

 used in computing the values ofp,r,k and c given above. 



Residuals from the Right Ascension Equations : 



Plate. 



Star 4. 



Star 5. 



Star 15. 



Star 40. 



Star 44 



I 



0.00 



+O.03 



— O Ol 



+0.07 



— 0.09 



II 



— .24 



+ .31 



— .18 



+ -42 



— -31 



III 



— .14 



+ .20 



— -23 



4- .28 



— .11 



IV 



— .19 



+ .13 



.00 



4" -39 



— -33 



V 



— .or 



+ -13 



— .06 



4- .25 



— -31 



VII 



— -07 



+ .09 



+ -°2 



4- .14 



— .18 



VIII 



— .08 



+ -05 



+ .08 



+ .21 



— .26 



IX 



+ .10 



— .09 



— .06 



+ .12 



— .08 



Means, 



— .08 



4- .11 



— .0.6 



4" -24 



247 



