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Polynomischer Satz. 304 Polynomischer Satz. 
! 
Anzahl 
!Ì 
* 
der Glieder 
Transport 
775 
697 
1 
j -j' 
(a 3 cd +.. acd 3 ) (e 3 + • ■ A 3 ) + (« 3 ce +.. ace 3 ) (f 3 +!? 3 + A 3 ) 
+ (a 3 cf+.. aep) (g 3 + A 3 ) + (a 3 cg +.. acg 3 ) h 3 
(a 2 cd. acd 2 ) (e 4 + A 4 ) + (« 2 ce + .. ace 2 )(/' 4 -p<? 4 +A 4 ) 
60 
1 1 
+ (« 2 cf+.. aep) (g*+ A 4 ) + (a 2 cg +.. acg 3 ) A 4 
30 
|:j 
lift 1 
acd(e 5 + ..A 5 ) + aee(/' 5 +5i 6 + A 5 ) + ac/'(^ 5 + A 5 )-|-«c9A 5 . . . 
(a 5 de +.. ade 3 )(f+g + h) + (a b df-\-.. adp) (g + A) 
10 
+ (a b dg + ..adg b )h 
(« 4 de +.. ade*) (/*+9 2 + A 2 ) + (a 4 df+.. «rf/ 4 ) ( 5 2 + A 2 ) 
90 
№ 
+ ( ß4 +.. adg*) A 2 
(a 3 de + . .ade 3 )(p + g 3 +h 3 )+(a 2 df-\-..adp)(g 3 -\- A 3 ) 
60 
-J- (a 3 i/9 -j-.. adg 3 ) A 3 
36 
(a 2 de-)-.. ade 2 )(/’ 4 + </ 4 + A 4 )-f (a 2 «//' -f-.. adf 2 ) (^ 4 -j- A 4 ) 
+ (« 2 d<jf + .. ad^ 2 ) A 4 
18 
adep -f adfg b -\-adgh b 
3 
(« 5 ef +.. aep) (9 + A) + (a 5 e# +.. aeg b ) h 
45 
(a*ef+.. aep) (g 2 + A 2 ) -f (a*eg +.. ae£ 4 ) A 2 
30 
|| Ì 
(a 3 ef+..aep)(g 3 -\-h 3 )+(a 3 eg-\-..aeg 3 )h 3 
18 
(a 3 ef-\-..aeP)(g i + h i )+(a 3 eg + .. aeg 2 )h* 
9 
aef(g b + h b ) 
2 
(,a b eg-\-..aeg b )h 
15 
Ijjlj- 
(a 4 ejf-f ..aeg*)h? 
10 
(a 3 eg-\-.. aeg 3 )h 3 
6 
1 
itili, 
(a 2 eg-\-..aeg 2 )h* 
3 
aegh b 
1 
(a b fg + ..afg b )h 
15 
(<a*fg + ..afg*)h* 
10 
(a 3 fg + ..afg 3 )h 3 
6 
( a *fg + a fg 3 ) A 4 
3 
afgh b 
1 
1256 
V. Diejenigen Glieder, welche aus fünf E bestehen. 
Erklärung. Der erste Factor jedes Gliedes hat folgenden Character: 
a* bed, ab*cd, abc*d, abed 4 
a 3 b 2 cd, a 3 bc 2 d, a 3 bed 3 
a 2 b 3 cd, ab 3 c 2 d, ab 3 cd 2 
a 2 bc 3 d, ab 2 c 3 d, abc 3 d 2 
a 2 bcd 3 , ab 2 cd 3 , abc 2 d 3 
a 2 b 2 c 2 d, a 2 b 2 cd 2 , a 2 bc 2 d 2 , ab 2 c 3 d 2 
(a*bcd-\-..abcd*) hat 20 Glieder 
(a 3 6cd-|-.'«^ c d 3 ) hat 10 „ 
(o 2 Ae</-|-.. abed 2 ) hat 4 „ 
{a* bed +.. abed 4 ) (ef+g + h)(a*bce +.. abce 4 ) (f+g + A) 
+ (a 4 Ac/’-f. • abep) (9 + A) + (a*bcg +.. abeg 4 ) A 
200 
(a 3 6c</-j-.. abed 3 ) (e 2 + P+5 |2 + A 2 ) + (a 3 bce -f.. abce 3 ) (P+g 2 -\- A 2 ) 
■^-^a 3 bcf^-..abcf 3 )(g 2 -j r h 2 )-\-(^a 3 bcg-\-..abcg 3 )h‘ i .... 
{a 2 bcd +.. abed 2 ) (e 3 -f.. A 3 ) + (a 2 Ace +.. abce 2 ) (f 3 -J-g 3 -f A 3 ) 
100 
4-(a 2 6c/'+. .aicf 2 )(9 3 +A 3 )-|-(a 2 fic9d-..a6c9 2 )A 3 .... 
40 
Ili ' 
Latus 
340 j 
1953