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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 113r, page id DE-611-HS-958803:0227
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 110v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=227
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000227.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.86
# 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.

zeiba Termalii, quae notas, latiori sensu intelleqi posidid, gulam ut praecise
ae curvat meas appliceltur.
En quandam instantiam contra Dn: ) Schimhausii excusationem. dit auria qua
unele ABC, quae secetui in pulntola recta AC faciente angulum semrectum
CAC cum vee AC. Crecta normuli AF, aucatis de producatus aulicala DBH
secans AC in G, agalilogule Gy parallela ipsi AD Secns crram in L. deinde su
matur BH aegualis ipsi LF e hoc fiat abipuu: 
generaibitis ende nova  curva AHB cljus pa
tium deterncinatum ACF, gilaliscunque sit aurva ABC
sempes aesiatus guladrato AC vel E ipsiton vero spatium ADH
indesinite nuncuam erit quadrabile, nisi de ipsum spatium
ADB sit indesinite cudcabile; preterea si matium ADB
sit tal tale, ult  etiamsi ingllactabile ab eo tamen,
sint Algebralce secavi segmenta aegitalia vel inratione
data, gualis est cirailus vel ellipsis vel hyperbola lnescio in aliae curoae etiam
hac procrietate gaudeant) tunc spatium inelesimitum A DN erit plidem in-
gladrabile, sed pater quadrabile ACI infinitas alias habet partes plladrabiles de
hoc est quoi impuosuit du T schienhaulsio aumadsestenti cl accidere in Eurula ad
est
arem applcata, d perperam univessalitatem indle inferenti: elieo enim si spatium
et
ADB non solum sit ondesinite inglatrabite, sect  etiam si non possint algebraice
abo abscinuli scgmenta aequalia vel in data ratione (hac eum divisio in se-
gmenta cegdalia in plensple alsvis depenuet ab ipsa qactratura indesinitâ spali
ulrvilinei) dico ingilam tune praetes spatium AEt in curoa AHY planc nullum
aliud esse quadrabile.
gnoice quaro rudi huia sriptioni. dichartus ego
per dudionim aliqueam horum imperitum et pejus
quam credetan pingeatea hane depribi curavi.
quae hon legere poteuis divinabisfacite
Vale et fave
Groniagae d. 1. Xbr
ub
AMpl.
Cultori Arenuo
1
erhouo
lu