OF THE FIFTH DEGREE. 141 
and obtain an equation involving only one unknown quantity. The 
unknown quantity appearing in this equation has a rational value ; 
but there are known methods of finding the rational roots of any 
algebraical equation with definite numerical coefficients. Therefore 
the unknown quantity can be found. In this way all the six unknown 
quantities a, c, e, h, 0, g, can be found. Hence the roots of the 
quintic can be found. 
§19. Wote.—From my friend, Mr. J. C. Glashan, of Ottawa, who 
read in manuscript the paper on the “ Principles of the Solution of 
Equations of the Higher Degrees,” but did not see the present paper 
on the ‘ Resolution of Solvable Equations of the fifth Degree,” I learn 
that, setting out from propositions demonstrated in the “ Principles,” 
he has arrived at important conclusions in the theory of Quintics, 
which will be made public without delay ; but he has not communi 
cated to me either his method or the results he has obtained. 
