476 KRETZ. 



Catalogue of Results. — In the " Catalogue of Stars " on 

 p. 477 are collected the final positions and proper motions de- 

 duced by me from the Rutherfurd Plates. The right ascensions 

 and declinations are obtained from the a^ and o^ given on the 

 preceding pages by means of the formulae 



T^ and T^ being the transformation corrections. The columns 

 are as follows : 



1 gives my Number of the star; 



2 gives Chase's Number ; 



3 gives the B. D. Number, and 4 the Magnitude of the 

 star in that catalogue ; 



5 gives the Right Ascension for 1875 in degrees, minutes, 

 and seconds of arc, reduced to the mean epoch using the 

 value of the proper motion given in column 6. 



7 and 8 give the corresponding quantities for the Declina- 

 tions ; 



9 gives the Mean Date of Observation ; and 



10 gives the Number of Plates on which the position de- 

 pends. 



It may be well to repeat here that the probable error of a sin- 

 gle observation is 



r =±0^^.0939, /'S^ ± 0^^.0595, 



and of a position depending on fourteen plates 



^a= zb 0^^.025, ra= rbo'''.Ol6. 



(136) 



