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# Title: LBr. 227 · Eckhard, A.
# Folio 69v, page id DE-611-HS-960119:0138
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 72r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-960119&page=138
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 102, 2026-09-09T22:34:49Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.91
# 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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# After the first blank line: the recognised lines in reading order, one per line.

utimur, ascerendam suscepi, sempera ppra metuli, nulle
ne uti methodo, hisi qua et bliur ustrs fuerit sartes
et qua utantur omnes ii, qui lnet heodo Cartesana
rite sunt imbuti.
Restat itague hoc unum, an beresicio ejurdemme
thodi qua prablemata viri illastii huc ulqus resolu;
etiam hoc investivar. possit, utrum problemata is
numerii rationalibus tepplicabilia sint, neo nesels
non sint quo parto id denonstrari possit. Crtat
vit illustrae, sid methodo seu rculolita seu Cartesiana
Crtlorunque tandem nomine illam appellare libeat
fieri non posse, opusqu esse ad eamrem alia qua
dam methodo a sartesiana diversa. Eco lvero
in contraria sum senstentia, se licet postqiamsvelle
mata et ista et valvenus alda eoui soluta sunt
quousp à me soluta fuerunt, nihil esse faortius
quam caclem methoedo, qua usus fici, porro investio
an in numeris rationalibus explicari postint nec
ue
et si non possint, ul ai oculun demonstrare.
Clviam ad istam rem muniam, duo dicendat
muhri sunt. Sixeram exx in schaxime superiorbus li
teros, ut 2bbc lec esse posoit huumerur situs, requ
2bb - 2-
zi ut tam numebatot 2bbc -ec, quam denominatot
2bb - 2c ejus fractionis numerus s sit Otur
Hac ratiodinium manifestiscim. paralvos sini
incusat vir illustrie. Sn exempcum adduvit 12
8
Ver aut.
qui numeri sint 2ti, etiam si nes
pumeratores nec denominatores harum fractiu
numtales sint.
Con dubuto que in ex festina
finnre dubiuem illud moveriz in re non solum cet
fiscima, sed etiam facilima, quaeque ita compa
hata sit; ut ex definitione mremeri et: statim
pateat duid enim est numerus Atus, nis. qu
oritur ex multiplicasone ejusdem numeri pez
semetiplum, et per consequeur, ex quo radix Uta
extrahi potest ex. ch. + est numerus retus idem
hucusque nihil
actum est.
nullo modo hactenus
soluta fuerunt