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# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 27
# Folio 4r, page id 00068240:0007
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# Lines: 110 recognised, mean confidence 0.75
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# After the first blank line: the recognised lines in reading order, one per line.

fiex (17)
ex Aeqe 14CX
et (9)
es  rida =rsea
ca = br nimo
et ex aeq. 16, fiet (18) Np bx + g
sposito r esse integrum
ca. br
a()
An autem possibile sit g esse integrum statim dijudicari facile potest,
nam si d - e. est numer primus, necesse ess, ca br, esse vel da ea
vel e a. si ca - br  da cafiet a Da t ea + ca, r. integuo
quod an possibide sit statim sciri potest, quia omnes nuneri (d. c. c. b. sunt dati.
sin umporribile est, visendum an fieri possit ca - b a, sive Y a rca
quod si hoc quoque imposi non succedit, superest, ut  alterutrum, 4, vel Y, fractum esse
necesse sit malo autem q esse fractum, et r, esse integrum, quia posito Y esse 
Numerus L. statim alea eximi, e integer reddi potest. Ponendo enim (2) s tea brt integum
Aet (21) L e tea - brtc + trda - t rea,
3)
a
 Supere s. X ex 18.) fiar br  ca - br
aC - abY
a
+ga N. integro. Sed id ocio munc quidem
impossibile esse pideo, nisi et r ponatur fractus
Redeundum ergus illuc est, ad posito Y fracto, 4. reddams interrum,  ut vero eadem
o
operae et L, reddatur integer, ideo sopus erit ponere Y D4, fiet.
(Eae r es + va dam ea
ex 17
et eqd) Lb +ba - ea F
ctea (1)
ca FbPa1
et (25) N p b∞ + 5da- ea
B pm
sut
a
+
ptq
b
eag. ta
darea D Ise p mrhq - dat ea L
 
se mmler
cop + AprAP + tp + coy trd  -eg + a cils ad- ca) + A ropaldatea
t
eeque ia pout cor b Sonc 3A, V a  en suir di poste per b, sitm 2V +p.  Item Coth
Ergo tta trnctio dividi poterit per
Cot. (()  d-c  4+ p.
0.
mp = da p br, Ergo 4 m, bv + da
a
t
a
a ra divisi potest prb ae non potest, si 
arq) pia
cun potes
V. a1p s. IHa
, si totum Y ep potest.
Eigo de d-e bs -a r pt. integer a Tocdor.
1or 
Ph  F ea p L _ b  bd sive p p b8 + ea.
Anforte opus tribus literis. CY) m A  im + h + f in per NB p+ 4, fier:
imp + hp + fP, (4 mq + h9 +f9 (-da + ea)  Lb.
  ∞4 +Y2 p2 + Pent mg+hq   +da- ea. sive im +h p +da - ea. Ergo exdar carsu
Sive panendo fr b8, fier:
 3aa 1 .d n a 5X. L , fiei 2b 3h e13a
as fb +3a -ea a
_ Ergo Lb gh+ etr + aG (+ aC) da ( ea) A rc
(mp + β np + B + p + Bmq + (3 n4 + (f4 =  Cda + B Ca = Lb β + )ma 4)ha tas
1 - 5 integer
pone -Bda + Bea a 4 Y ma = Y ha 4 Y fa - Yca p70. 7
seu Br
Vana ma + ha = fa = ca X. ponc Y d- eb
tier B  in f + hp  - cs
0
+dan ea
Residua aequatio ent:      s Cmahas, 2 pt qu assa, g LbB
cresb
mehatue
ax
pr47
P+4c + d a  Lb
) ea-da
ract --d4
ga
n
man
 of. est sa B L b (- ff 8
-
pone pce=
+ +V 1 9si tsnerm
vbco
HinC a vsnc - vbcom -Dbcon
Fncavine vbcom -bcone mitgarmga intgariva int +m +nten EI
90
Ponatur cop qn quaeramus F. patet ormnta non mnttiplirata per t, multyli cari pe
 inlepisoaeti i. eogum cntufiectam summae cnlisti epe hatenea vatat
da- ea
ca br
q1
Aej (15)
 5b- ca
sin + ns
inta 
s
Eyo
f
esmne (+b  vlco
man min D (AV, + +V