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XXV. Of Cubic "Equations and Infinite Series , 
By Charles Hutton, LL.D. F. R. S. 
Read June i, 1780*, 
H E following pages are not to be Underftood as in- 
“*■ tended to contain a complete treatife on cubic 
equations, with all the methods of folution that have 
been delivered by other writers; but they are chiefly 
employed on the improvements of fome properties that 
were before but partially known, with the difcovery of 
feveral others which to me appear to be new and of no 
^ r\ * 
frnall importance : for I have only flightly mentioned 
fuch of the generally known properties as were neceflary 
to the introduction or inveftigation of the many curious 
confequences herein deduced from them. 
Art. 1 . Every equation, whofe terms are exprefled in 
Ample integral powers, has as many roots as there are 
dimenfions in the higheft power. And when all the 
terms are brought to one fide of the equation, and the 
Vol. LXX. F f f coefficient 
