( 104) 
be the equations of two curves of degree three expressed in homo- 
geneous coordinates and let these curves have the eight points in 
common indicated by ai, y;, zi (¢ from 1 to 8). 
The coefficients of the equations (1) form the assemblant 
a, a dag a4 Ap ag aq dg ag a9 
. . . er 
bj by bs by b; be by bg bo bio | 
and the eight respectively independent systems of roots satisfying the 
equation (1) form the assemblant 
me min Aa mn mna we? HW Ya nar a 
a AMY Lag A Vz Ayo Lot Yo Yoe Yord zj 
ag? AV & 323 T3Y3” TaY3e3 Aze3? Ya Vaes Yst3” 23° 
va Taya Ta Za Pada Pafara Tas Va Va za Vats 24" 
(3). 
2 in Ors x ke 
2 Ds V5 Lo ToVs Lets Lot Ho Y5 2 Us 5 
DN) Win See On nr 2 vo 3 
rg? A6 Yo Loo MOY” Ss *MGYo%e6 To Yo> Yo Ze Yos” 2 
ese wid pice i=) ge ate ee 
De RY WEN OT: TTT ae 
Se os Ae ae ee EEE Die tn. 
T° AgVYg Ag'eg TaVg UWeYgeg Taeg Ys Ya <8 Yses <8 
These assemblants are supplementary. 
If the determinants contained in the assemblant (3) are represented 
in the usual way by Xi», X1,3 etc, the property of the supple- 
mentary assemblants can be expressed as follows : 
ay Ao ay do (lg a2 
Xa SS X13 Zr i X23 =S etc. . (4), 
which constant quotient will be expressed by 4. 
