COAXIAL MINORS OF A DETERMINANT OF THE FOURTH ORDER. 



339 



Multiplying the rows in order by 4BC/LA, 4ABVCL, 4LAVBC, 4.CLJAB we 

 change this determinant into 



2DC7BL 

 2EAVBL 

 2KAVBL 

 2GCJBL 



2E VABCL 



2DJABCL 

 2GVABCL 

 2KJABCL 



2GBC + DEK 

 2KAB+EDG 

 2ELA+KGD 

 2DCL+GKE 



2KB 7AC 

 2GB VAC 

 2DLVAC 

 2EL7AC 



and now dividing the columns in order by 2 *JBL, 2 ^/ABCL, 2 */A.C, 1 we have finally 



DC E KB DEK + 2GBC i 



EA D GB EDG + 2KAB 



KA G DL KGD + 2ELA 



GC K EL GKE + 2DCL 



which agrees with what has been obtained otherwise.* 



* Proc. Roy. Soc. Edin., xxi. p. 333. 



= 



VOL. XXXIX. PART II. (NO. 10). 



3e 



