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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 55v, page id 00068197:0110
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GH + BOD in NP + M VOD
A+ O) in L + M YOD.
cooncidentiandu
DE +F 16)) in DE 1O N
R. = AL FBMOD + AMI (0D
productum hoc aeuaendum esset quadruto
ab C+ F+OD, ducto in constantem
Bp
fiet CC AEFOB + ZCF 1ODr sit Le CF  a AM+ a BL = astata 
la ex
Ero GolAC
rursus coincidunt C CC + eFF OD et a AY A +  A MO):
Ergo coincidunt C CCR eCC + ()D Fit eCC - at aAL
vel eCC- a ALFF  L. FF
= - 0)
LeFF - a BM
a BM = CFF + 
A et L sunt duplices ut et C, sed B, M, F, C3, D. sunt Implice
sint A = FG GH L+ N CD DE.
et Fret C dd 2E - GHNB = -OD. seu 4CsDDCEFF- +eaG F
2
eFF = a BM
C. FF - a BM
et pro AeCCCFF, vel gee ddEEFF ponendo qu aa qu(AM + AL) = rea qu CGHM + BN p)
et Fiet A FGGHAmm + ABBNN Pp +BFF GHMDXP : - 4Ca G HXPFF
ntaF F = a BM
GHNp +BM OD _ + aG AM YOH ~ e ADEEt C FFOD
aBxp
+ 2C DEF 505
An in numeris potisi esse a + 5X a +bX, l+ mX, an potest esse C, C + ex, Ctex
3 + 5X
hal +ham X Ab m Xx ~ rCc + 2rcex + eexx.
hblX
= rec. tam thorie = rce, seu tihga.
he
un +pxy, oraspyta
conperatur initium pagina primaem a liquis linea separatum
AD +
quaeritur quadratura rationali (dx ((xxtab, Xxtac). sit X=
XX + ab O5+ 24 X2af2 POD
Xx + ab =
OD ab + thab + 2ab F 1O)
OD+ ht + 2t +0
aa
et extab, xxtaC =009
 in 8
aubbee Dra abco tadbcti
(DD. anrq abs
Xxtab, Xx1aC =
(Os +
10D +
fOD + aa 2 2
xx + ac = aC) +aliti
Dyt
44
Gra) letnq Baubeni aaes
() +
H1OD
EDH(bZL +OD
A4S
 biquadrat (O)) + t)
Tentetur an hujus fractionis Numeralii sit extrahibilis
id est identificetur quadato si latere aa OQmD8
(te DX
e
quadlatice A
revia
id vero uisetur uecc
e  2a488 10)
is sum
itaque par rationalis Numerateris identificatur parti rationali quadrati, et pars irrationalis
irrationali. Et cum sufficientes sint arbitraria, neque sit principium unde una assumtarum
simplicium debeat fieri sumi in ratione constanti et alteram; non video quid huic
Talculo opponi possit
aequalis nihilos quaedam ex ipsis t 12;   videntur assumi posse aequales constantibus
si sumeretur 2 =0 ficret CDt in ratione constante ad 6 et  rediret a t q redires ad Q lii our
8 ad C ut G ad D. sed ita C) vol D reduceretur ad e contra hpo desideriL
2 Reducamus 4 ad E Mednatur 8 eudeB
sed ita tantem 1D divieretur per E quod nolo, itaque non licet facere t 20. sed constant  unde
non multum compeudii. interim mmanere potest reductio laeterum ita nec  2 reducetur ad 
 esset constus, et  atterura ex d vel  constans verbige. 5, oportiet in fD F bDD + 222 sumtaau denuma
evanescere et in 500 +25(D(4 + aa Z +5OOBD (btC) + ua q gb +C) Oγ- aa 8DQ,  etiam smmina ter
alti plagula
mns erocresceltubi  sit . dot
resumatur distinctic.
construsun succodit
 atu  itanuiem u vtu ai
uta
+24+2 +()
43ac F 1OD
d
hiuah  aabet e
24
or11bBtOD
s2C)
dere, pamy
salia scheda prosecu