344 
REV. R. HARLEY ON THE METHOD OE ST^IIklETRIC PRODHCTS. 
And the corresponding combinations (differently arranged) are — 
a'V* 
ad^ddd^ 
d^ddd? 
d^ddd^f 
ddp 
a^^bdf^ 
ad^'dddef 
ad^dcddef 
d^dddf 
d^ddde" 
dd^cef 
adWd 
ad'dcd^^e^ 
d^b“de“ 
d^Vdd^e 
db^d^f 
a}<^'e-ddf 
d%^dy 
d^dddPe 
d^dcd^ 
dd^de^ 
a}^cdef^ 
ad'^dd^e^ 
d%*dde- 
d^ddd^ 
d'^dddf 
db^ddf 
ad^'cdde 
d^dddf‘ 
d^bdf 
d'^dde" 
dd’^-dd 
ad^dd 
ad^dddf 
d^bdde 
d^ddd^e 
db^cd'^e 
a^^cT'e"/' 
d^b^e/^ 
ad'^ddddef 
d^bddd 
d^ddd* 
dd^d^ 
a^^de^f 
d^dcdf^ 
d^dddd 
d^d^e 
d^ddf 
dd^df 
d^b^celf" 
ad^Pdd^f 
d^ddd^ 
d^ddde 
db^dde 
a}^b"cf^ 
ad^dd^ef- 
ad^ddd^d' 
d‘by^ 
d^ddd^ 
dd^dd^ 
a}'b-def^ 
dd^dde'^f 
ad^Pcdde 
d-b^cef^ 
d^dde 
dd°de 
d‘b-ey^ 
ad^de^ 
dW 
dWdy‘ 
d^ddd^ 
ddW 
an<ref^ 
ad^ddf^ 
d^ddf^ 
d’^Wddf 
d^h^d 
dddd 
ad^Pddef^ 
d^dddef 
dWd 
dWd^ 
ddd 
a}'bcde“f~ 
ad'^dddf 
d‘‘ddd 
d^b'ddf" 
d°d^dp 
dd^ef 
a}^bce^f 
d'^Pcd^f^ 
d^lrdddf 
d“dde“f 
d%^^df 
dd^cdf 
a'~bd'^ef- 
ad'-dc^‘e-f 
d^b'ddd^d 
d^Vcd'^ef 
dd^ce^ 
a^'bd'^-e^f 
ad^dcde^ 
d%~dd'e 
d'dcdd 
d'^d'^cdef 
dd^d'^e 
d'bde^ 
ddWd'^ef 
d%Fdf 
d'^d^cd’ 
dd^df 
a^'c^dp 
ad^fddd'e^ 
d^bdef 
td‘'-Ud?d 
dW^d^f 
dd^dde 
a^-Q^e"/- 
ad'^ddef^ 
d'^bd'^f 
d-V'df^ 
d'^d^d^d 
dd^cd^ 
a}'c-d-ef~ 
ad^b'dd^f^ 
d^bddd 
dW’ddef 
d°ddef 
dd^de 
a}'c"de^f 
addrddd'f 
d^bdd^e 
d^b^dd 
d'^ddd'f 
dd^dd'^ 
a}'^c^e^ 
ctd^dde^ 
d'^bddd 
dWdcPf 
d'^dddd 
dd^dd 
d^cdy- 
ad^dddd'ef 
d^ddf 
dW'dd~d 
' d%^cd^e 
dd°d 
a}~ccPe"f 
ad^dddde^ 
d^dd 
d'^b’’cd*e 
d^dd^ 
dd^df 
a}'’c(Fe* 
adddcdPf 
d^ddde 
d-b'^d'^ 
d%^ddf 
dd^d 
a}^(Pef 
ad^dcd^d 
dW 
d^ddef 
d%^dd 
dd'^df 
a}'d*e^ 
ad^dd^'e 
d^Ucf^ 
dWdcPf 
d%^dd'^e 
dd'^cde 
dd^bddf^ 
d^Vdef 
d^dddd' 
d^ddd^ 
dd'^d^ 
a>%^cef 
ad^bc’df 
d^lPdf 
dWdd^e 
d%~df 
dd'de 
ad'bdd^ef 
d^b^def^ 
d^^ddd? 
d^ddde 
dd^dd"^ 
a}%^de^f^ 
ad'^bdde^ 
d^dcdy- 
d^^ddf 
d%Tdd^ 
dd^dd 
a>%^e\f 
ad^bdd^f 
dWcddf 
d'^dde" 
d^dde 
dd~d 
a}^b~c‘df^ 
ad^bdd^e^ 
dW'ce^ 
dddddd^e 
d^ddd^ 
dd^cf 
ad^be^d^e 
d^U'd^ef 
dWdd' 
d^Ifdd 
dd'de 
d%-cd~ef^ 
cid^bcdd 
d^fdd^d 
d^ddf 
d%^d° 
dd^de 
a}^b‘cde^f 
ad^c'f" 
d^dddf^ 
d~ddde 
dd-cp 
dd^cd" 
aPlrce’ 
ad'^ddef 
dVdddf 
d^ddd? 
d'd^def 
dd^dd 
dWf‘ 
ad^dd 
d^ddcPef 
dWde 
dd‘e^ 
dd^d 
a}^b-(Pe-f 
ad^dd\f 
d^dddd 
d’^'b^dd'^ 
dd^def 
ddy 
ad'^dd-e^ 
d^b°cd\f 
d^d°d 
dd^ccPf 
dd^ce 
a}%Pp 
ad'^dd^e 
d^ldcddd 
dd^cdd 
dd^d^ 
aPbPdef" 
d^dd’^ 
d^ddde 
d^d^eP 
dd^d^e 
dd'‘dd 
ad^^df 
d^ddf 
dddcdp 
dd'^ddf 
dd^d 
a}%c-<Pf 
d^ddf^ 
d^Jdddef 
d^dce‘f 
ddW 
dd\ 
a}^bc^d-df 
d%^df 
d^ddd 
dddd^ef 
dd^dd^e 
dd'^cd 
a}%c^de* 
ad^dcdef- 
dWdddf 
d^ddd 
a d\d^ 
dd^d 
a>%cd^ef 
ad'^dce^f 
dnddcPd 
d^ddf 
ddd’f 
dd^d 
d^bccPP 
odndd^f 
d^ldddde 
dddddef 
dddde 
dd^d 
aVf 
ad^^d'^df 
d^ldcd^ 
d^ddd 
dbW 
cdr^c 
a}%cPd- 
uddfdd 
d^ddef 
d^dcddf 
ddde 
524 
ad%^def 
d^ddddf 
d^dcd^d 
dddd- 
d^dcPf‘ 
ad'^ddd'f” 
d^h^ddd 
dWd*e 
dVdd 
cd^dde^f 
ad%^dddf 
d^dd(Pe 
d^Udef 
ddd 
The direct calculation of IT would involve the prior calculation of the equation in A. 
But by combining Eulerian with Lagrangian functions, and introducing the resolvent 
product, we may obtain the symmetric product without forming the sextic. 
