Full text: Abhandlungen aus der reinen Mathematik

54 
Vandermonde. 
die vorliegende Gleichung, so findet man ; wenn man die Coefficienten der 
Gleichung zehnten Grades berechnet: 
a l — — 2 2 p 
a 2 = 2.3 p 2 — 2 . Sr 
Clo 
= - 2 2 f - 3 q 2 + 
2 . 13 pr -1- 2 . 3 . 11 t 
«4 
= P 4 
— 2.3 . 7 j? 2 r -f- 2 2 .3 2 
-f 3 2 pq 2 
+ r 2 — 2 2 S* pt 
% 
= — 3 2 p 2 q 2 
-2.3 2 pr 2 +2.3.107 p 2 t 
+2.3.5 p s r 
— 2 3 .3.5 pqs +2.3.19 rt 
+ 2 2 . 3 q 2 r 
- 3.41 s 2 
«6 
= 3 p % q 2 
+ 2 3 .3 . r 3 + 2.3.23 q 2 t 
+ 3 q* 
+ 2 2 .37 p 2 qs — 2.241 prt 
— 2 ^ p^v 
- 2 . 3.23 qrs + 3.43 t 2 
— 2 3 .5 pq 2 r * 
+ 521 ps 2 
+ 7 2 p 2 r 2 
— 2 7 . 5 p 3 £ 
a 1 
= — 2 . 3j;^ 4 
- 2 2 .3 2 qh + 2 4 .47 p 2 rt 
H- 2 2 . 11 j? 2 g 2 r 
+ 2.5.47 + 2 4 5 r 2 i 
— 2 4 .S p z r 2 
— 2.449 p 2 s 2 — 2.3 2 . 19 qst 
— 2 <£ 2 r 2 
+ 2.47 rs 2 — 2 7 .3pt 2 
— 2 4 . 5 pr 3 
+ 2 6 . 5 pH 
— 2 4 .5 p ?, qs 
-2.3.61 p 2 qt 
a 8 
— 3 p 2 q± 
+ 2 2 .3 . 7 pq^s — 2°pHt 
— 2 4 p d q 2 r 
— 2 2 3 . 7 2 p 2 qrs —2.3 £ 2 r£ 
-2.3 ? 4 r 
- 2 3 . ,3 qr 2 s - 2 4 .3 . 5 prH 
_j_. 
+ 2 2 . 197 ph 2 + 2 2 .3 . 71 pqst 
4- 2.3 2 j;^ 2 r 2 
+ 3.17 q 2 s 2 -f 2.3.11 s 2 t 
+ 2 3 . 11 j> 2 r 3 
— 2.3.41 prs 2 + 2 7 .3 pH 2 
-! 2 4 r 4 
-2°pH + 2 3 .3 . 5 rt 2 
+ i 2 4: -p i qs 
+ 2 2 .3 4 i^q 2 t 
t
	        
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