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IX. On the General Refolution of Algebraical Equations, 
by Edward Waring, M. D. F. R. S. and of the Injlitute 
of Bononia, Lucafian Profejfor of Mathematics in the 
Univerfity of Cambridge. 
Read Jan. 28, 1779- 
“pf N the year 1757 I fent fome papers to the Royal So- 
JL ciety, which papers were printed in the year 1759, 
and copies of them delivered to feveral perfons ; thefe 
papers fomewhat corrected, with the addition of a fe- 
;cond part on the properties of curve lines, were pub- 
lifhed in the year 176a. In the years 1767, 1768 
and 1769 I printed, and publifhed in the beginning of 
the year 1770, the fame papers with additions and e- 
mendations under the title of Meditation es Algebraical. 
In thefe papers were contained, with many other inven- 
tions, the' moll general refolution of algebraical equa- 
tions known, as it contains the refolution of every al- 
gebraical equation, of which the general refolution has 
been given, viz. the refolution of quadratic, cubic and 
biquadratic, the refolution of Mr. de moivre’s and Mr. 
berout’s (fince publifhed) equations ; it difcovers the 
refolution 
