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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 19v, page id 00068124:0038
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(8) si jam occurrat
t ax
Xtb, XtC
hoc itidem reducetur
sive method articuli 1. sive methodo articuli 4. nam
methodo artic. 1. si addamus fX c(X
per divisionem ad (X
ax redibitur
 X + b, XtC
dx, quae jam est reducta artic 2, itaque opus
X + b
e ope articuli 2 ad
dx. Sed (Xe
 X+b
ax, eadem
X + b, XrC
methodo rursus reduci potest ad proxime in feriorem
e- dx
X + b, X+C
et ita porro, ac proinde tandem X
dx
X+b, X+C
dx et ad dx. Idemque potuissemus
reducetur ad d Xtb, XtC
 Xib
consequi altera methodo articuli scilicet 4. Nam pro
redx poterimus scribere (Xdx
∞tl
O posito O esse
X+b
ita enim res reducetur ad Pax O et ad (X a ax et
XtC
X+b, XtC
per artic. 3
similes, seu res reducetur ad 
ad
(d et ad f
xib, XtC
 dx, quae jam sunt reducta ad Cex per artic. 2
X+b
quoniam vero Xdx
dx
X+b
reduximus ad
dx
et
SXtb
Sed ex lege justitiae, pari jure etiam reduci
dxtb, XFC
potest ad
X+ b, XtC
(dx et ad
X+C
inter duos ipsius
(ax. Et ita habetur aequatio
Xtb, XtC
valores, quarum unus continet
xab et alter coti continet
dx et sat
Xtb, X+C
(ax et (ax
X+b tC XtC
quos duos valores aequando inter se poterit haberi valor
x+b, XtC
ax per 
iplius
+tb, X+
(dx et per sax, et quidem
10) Quoniam igitur (X de reducta est ad
(dx
xab, XtC
per artic. 8. et rursus
dx
 x+b
VXtb, X+C
et ad per artic. 9. consequens est
dx
D XtC
et ad
xtb, XtC
reducta est ad fda
Xtb
Xdx posse reduci
x+b, XtC
d, et pro examine calculi erit, si reperietur
ipsis xab, et xtc servare legem justitiae inter se in vatore reperto
de, et ad
ad .
X+b
ntC