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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 52v, page id 00068197:0104
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X tab X
10y + 11 a
videamus an possit reddi dvsiblis de primibilis explicando
X = 10 y +310. 10Ha yy + 3. 10. 11. 1 aa y + u’a
aaC,
ab X
bab y + 2. 10 abf y y + 10 ab fFy
+ 11 aa b yy + 2. 11 aa bf y + 11 aa bf)
aacY + zaac f yy = 3aaC ff y + aac f
ual tollatum
+ 3599 + 3ffy + f3 residum tous aoricatur
te temimi
floidetidum per yt
haberemas desideratum
Hic possunt tolli Terminus summus et infimus
sed si simul posset tolli primus et secundus
Et  summum quidem tollendo habetur 10 sed secundum tollendo
f = 11 (13. 1009 + aab): 2. 10. ab +aac
et
fe- ef
3ad Hace F ag
si b =0 fieret 10 =  aac
2 3 atc + 24b raac
 a, 3 Hacc 1 b, 4cc - 6 ab Vaac + 4bba Yacc
Hacc
3c
saa
27aC + 8aabC
acc
Exequamur:  (X +aac)
fiat X =
=Vaac 1 + 11a
y 4 -  Vacc
ven
multiplicetur numerator et nominator per = c fit Vaac 1) = a ba-
aC sit 8 fiet
=2 V + 11
+ 8y 411
C
= c 1 + 1 Vacc
et video evanescere ora nom fit
nam dividendo per Iaac C
fi
acc
11 Vacc
:-C Haac
aa
M =n in IFMM
jam vace = se 3)acc = a
Jaac
compendii causa videmmus an liceat rediere numeratorem divisibilem
per quadratur sit  Cd 97 F 2 20. 20 9y + 2. 20. 2ay +221 ca du catur in
si b sit 0
30y + 31 a fiet
Ea
 20. 20. 3097 =+ 2. 20. 21. 309y +121. 30aay
Ex ab soluto est 31 = Cfd: Luma t ia
Ex yt est 30 = 10 +aaC, : 20. 20
exgus est Y + 2. 20. 21. 103 + 2. 20. 21 ac
20. 20
+ 20. 20aCf3 3. 10, 10. 11a + 3gacF
16. 213. 106+ Z. 20. 21 ac
21. 21 
20
+ 1. 20. 20. 31a 9y + 2. 20. 21. 31aay
20 C F aro = 3,10101( 25 1a + 3 blcf 202
+ 21. 21. 31 a
3
= 3. 10. 10 11a7y = 3. 10. 11. 114aG + aac f3 2. 20 2Ha
1 1130
21. 21. 10 + 21. 21 aaGF + 2. 20. s c fr = 3. 10. 11. 1. aa +3aac ff
3aac f yy + 3aacff
autc
21. 5a
seu 213. 107+7aC 12. 28c f = 3. 10. 11.1, 213+ 3. 21 acff
2D. 20
2. 20. 13a
et ex y fit ad
deberen solvi 1gy. 9) et 7)
109 Ia
y +. 2yf +f)
oy +ua
totra
termipu imum
et faciamus
Piduu
divitum per
10410 atanc
drrfibile per y+f
X + abX +aac
mircus summuis
per colfficie
+.
oidendo ifpolest
fuerus utnda sit
ponendo f f: 1 = e
et habebitur 5
fiet
rationalite
dat m-mmnt mnn +
mmni mun
yl
Hacc = 1
tac
+o
aac