[ 4o8 ] 



n ' — a'' 



and c = — Only we niuft not affume u = d or — — d ; 



6d- 211 ^ 



or = 3^, for on the two firft affumptions we fliould get 6d— 2». 

 c = 0, i. e. either i^dc, or 8^c = o ; on the third aflumption, 

 «' -- d"" =0, i.e. %d'=o; fo that either <r or ^ would be equal 

 to ; contrary to what has been above laid down. 



Make c = -- i and d — 6 ; then <^ = 2 or 3, let i^ = 2 ; and we 

 {hall have a = 3- And m, as alfo q -- m, = 5. 



Then we have the fadtors .v — i, .v -^ 2, x -{. ^, x + 6, whofe 

 produd fhall be deficient in its penultimate term, and fliall 

 differ by 36 its loweft term, from the produdt of the fadors x' and 



A"+ 5 

 ^+ 5 



* ^ 10 ;¥ 4. 25 

 x' 



x^ -\- 10 X' + 25 X- 



^ + 10 .Y3 + 25 AT- * 36 



In 



