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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 273v, page id 00068196:0542
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 274r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 56 lines, status machine
# Lines: 56 recognised, mean confidence 0.75
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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nihil retert pro quadraturs ritiona–
ibus etsi in otor numeratore
aM: n s
reperiatur A
Universales. ideo
ulO-
ng
modo evitentur radices
ut alias forimutas
 ai
V 4 ves 4.. Y +. V +. 1s 4,s Y 1s
fit
reddamus extralibires, sufficit pa E
2 s
qu
pour _e Y= X +. X +. X, + X +X et. ubi se
assurgendo ad X, habenus literas in  literas 4+1
assumendo ad x3 habemus literas 6+1. sed
in 
S 121
ascendat ad VY, adooque ad X prodeunt termini
+
si
ate habemus itaque lodidem inveniendot aequationes
aequanda fdermnta quadrato excilato ab
-2
us ad X. utti habenus ateras
6+1 Quibus addendio literas 4 +1 in valore psius
tamen non asseporuur ais equimur desideratum
rlai ue quoniam non seuper un pte
est foeler  irrationales rem ilia
aggrediamur via
es
10 a + X + 11 V b+ X
= y. datur lumma
omnium  1. jam qea quadan fiel
10 a +X + 112 p
VAx + 10. 11 Y a+X. b+X = V
et (2, 10. I1. atx. b+X) =
et ordnando fit:
silis
lgst unde haberi pt
e
en
F.. V 4..f +. Y 
ni ob arbitrarias
2
2 1a
u
y = 10 a +x = 11 b+X
d
a
2
a
10 a+x +11 bis
2. 10. I1 atx b+x