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a class of equations of the sixth degree whose finite algebraic 
solution may be effected by means of one of the fifth, or, on the 
other hand, as ofiering a resultant of the sixth degree, the 
simplicity of which may remove obstacles to the discussion of 
its solvibility. Under the latter aspect the author suggests 
that his final sextic may perhaps throw light upon the question 
of the solvibility of others which occur in the theory of 
quintics.” 
“ In a Postscript to the above paper dated September 10th, 
1858, the author indicates the paths which may be pursued in 
ulterior investigations. He states that Mr. Harley, in some 
as yet unpublished labours, has verified several of the co-effi- 
cients of the equation in 6 and introduced improvements into 
the general theory.” 
“In a second Postscript dated September 22nd, 1858, the 
author points out that the general solution of a given equation 
of the fifth degree may be made to depend upon that of the 
equation in 6 ” 
