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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 1
# Folio 8r, page id 00067996:0015
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7v); this page is its right half.
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# Lines: 93 recognised, mean confidence 0.71
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# After the first blank line: the recognised lines in reading order, one per line.

e
tco
Resumanius: Co X + + c
L3V Ercox
d  4XYC + Co. pone cS ( R +4 Al 17 2
el a  ri
cora + ul
fiet 8Xy r 87V + 8eL = V -H2 et fiet aequatio correcta talis.
es
180 + asta dud () + 15 vl, a+ l Iv(B  V (LB)
aalac
s2
ax
45va + 25LA - AlVA- N  + 850l + 5F (- lv (17 X l, 2 2(B)
v
Ita dividi poterunt omnia per incognitam eandem. Ita dusdi poterunt omna
 per aliquam incognitam, non tamen video quide inde lucremur
X +Z (, SV + 2 Z4
X +Z +2xZ  3l + 1XZ.
Ponc
x 2XZ  B2- 3l. B
sumatir quadratus 9. ab eo detnbati
a ut 2
vr 31
2X
e
et sict X + r - 5  RV sive X = V - 3
Unde X - 2DX fV 1 3V ∞ VX
X + V. H ∞X +3l. ponanus 
DX.
Nihil Hic neque destractionibus, neque
M
Si duae istae orvationes resolvi possunt 3.B p 4XyCo + Co et Al + Ex, yl 
M
depressionibus agi potest
habebimus solutionem, ut patet ex dictis. In aequatione posteriore pro Xy substitue
ejus valorem exprioe, fiet   nempe 2X Y 313+ cot et fier posserior
acd
313 + co l 4(C8) ponntur XC, sH + s
2XI(+ 31y + co y, 1V
fietque 3l + 25V 4 3l +Cy B 2 +Co L sive divisis e ponatur
et t sy  L
3
l- 5
50 +35 V, fiet si + y p l.
Ergo 1s +  ls a yl  45y 1
qui valor substitnatur in 45y B l, fiet 4sl - 4s p Y 1 save
Ergo SA ( sergo 7H Z
25 - l0
a pete
 conceperam aequationes quas
45 - 45l + l p 0. sive
3124arce, et xl + Exyp
3
Enor futu
Posito l. esse unitatem vet. a. numerum datum.
X + Z Ba. al. X, 4X Y +X
A5 al +4X
et ponemus a12 ( 4  7), aequari quadrato (4X3) + 4 xyco + c0
Sequetur X + Z aequari radici hum quadrati, sive X + 2XY
u
2Xy +co
e
Habemus ergo aequarones duas al ⊓ 4xyco + cot D
eb et XI + 2xy p 2Xyl + colO
D2xy  a cont quo vnlore inserto in posteriore, fieb: nl +V a cob aC
Ergo X + 2XZ + 
8
co
2 X((C
2
aa
sive X 2c0X1)  ay -coya(2
2c0x - 3B + cst ria + cot, sive coxts aV: G
ex
pr aV in
cx- col sia(X B (X - cot. jam co aH. Ergo = sX B aV. 47oc OV.
2 tatis ergo positio fien nequit, consiverem Restituamus destracta; fier
aae  le ds a et uote
a
Ronamus yp - 1. D
20 1 p2co
Aequatione  inseratur ejus valor  aequatione  et pro Y ejus vator Dexeus 6. fiet
(0
HeI
quarum
resolutio
quia ele-
gans, ideo
menorand
potest enu
senire ad
alias