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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 18
# Folio 14r, page id 00068231:0027
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ABN N
de reducendis aequalivalbu iduteriores, ilem parum 3.
de genlen ciso gene inveltione Mladrau geperpe
quemadmodum Xta in X+b in XtC dant X + aX + abX + abc by.0
+b
C
pac
unde sequitur tribus aequationibus propositis atb+caequl. abtacobeaeq. m, abc aey. W
fore X+ Lx + mX + n aeg. 0.
Ita
X+ axtb in X + cx +d a t. X + ax, bX
ita X taX +b in X + Cx + d in X+ extf dant
q
X + a X + ac X + abC X + ac si X + 2
ubi patet
ac
C
aa
a
c
2
ec
quemadmodum poductum sola servatat
aed
ceb
bd
s
2
a 4C + Caequ l.
vI
C
caf Xt bad aqc
ac +ac+ ce+ b+ d+ f rg. M.
ac etad taf+ cb + cF+ eb + ed aequ n.
a2
2
2
insallege homogeneorum ex
arte combinatoria statim scribi potest.
si jam darentur Tex aequationes.
ea aequ p.
a d527 cbF + ebd’ay
bd
C aeq. r
quaerendo a vel c vel e. assurgetur ad gradum 15tum
quod ex legibus artis combinatoris demonstrartur, nam
a est u summa duarum radicum aequationis , at
sex radicim aequationis O sunt 15 biniones.) Et
ta men problema solvi potest per gratum aequationem
sexti gradus hoc modo: scribatur aequatio
∞ + lX + n X + n X + p X + qX + Yaeg. 0
qua resoluta, summa duarum quarundam ejus radicum
dabit a vel coele. Eodem invio rectangulum duam
quarundum ejus radicum
dabit b vel d vel f
Alxita oblatis equationes plares plnium lites pram
+bC
2
+CX + ac X +bCX
+d ddab
u