(87) 
As an example we take the system of two homogeneous equa- 
tions of the second degree with three variables: 
na + agty + dge2-+ ayy” + asyz + age? = 0, 
dat dyey + bsvet yy? + bye + bye = 0, 
The function / is represented by 
Peet feb gay nest adat ne) 
(ara? + agay + azve+ ayy? + az ye + ag 2?) 
+ (87 a? + sg wy + 89 #2 4- 04 + sy 2 + Sn 2° 
(by a $ dy wy + dye + dy y® + ds yo + by 2). 
From this follows the “assemblant”’ 
sh ae! 8 Sinn Ba Er EL MEL ET ed 5 aD 
gr ay by 
xy dy ay ba dy 
wz ay ci bs bi 
wry" | as ap dy by dg bi 
dje | Og. ag ûz ay bs bz bg by 
wa" |, 1a, as, ay bg bs by 
ay? ay dg by by 
rye 43 a4 ag ay bs by bg bg | 
rye? de as G3 ag bs U bs by | + (6), 
oy ay us bs bs 
y* dy by 
yrs se bt bs by 
ge dg ds a be bs ba 
ye? ag as bg Os 
a ag be 
Proceedings Royal Acad. Amsterdam. Vol. IL, 
