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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 155r, page id DE-611-HS-958803:0311
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 166v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=311
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000311.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine
# Lines: 49 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Et celeberrime fauton
Nonoratis sima
Oratum est quod mea solutio secundi problematis fuita Tua non
ab sit. Vedeo tamen methodu mastras differre. Et cum buam
aalata caueu
mihi significaveris, mean vicissim mittam, quam speroal
generalitatem et eatensionem tibi non dispeceturam.
Cum olim notassem looum ex Epistolis Cartesrams dc
in excerphsmeis
Termatio, has paucas voculas polaveram. hafren potest
1t
per radices oquationum. Hac verba diu multumqe. frustra
consideravi, donec nuper an curru dum socy egransoicun
vehor sensum eorum reperus quihic est: perinde esse acs;
0
quaratur derta, qua rectam propositam ita secet anducobas
punctis ut sublata una eaduaburnoognits, curva et
rectae aegationem localem ingredientibus, prodeat aquatio
Dunam invognitam, cucs evundus termnnis (c gx.) sit
latus a enim segmenta reliprorum potentias
asitu
esse radras aequationis, utius tumma eorum aquabitur termino
ejus secundo sit ergo punctum fixum d, unde educta
pecta secet curvam quaestam in punctis D, et (P) et deoot
dat di abraua innsinetant eb sit 
Li fiet aequatu vc
dcarum redeorum
C
eb. XC 201 Luis aequaliti
ex ommafacut a
nasera
quaniam puncta et peaa ex cb D_. et ∞ (B)C
esse aequ ipoi ac b consstanti.   sit X. piet aquatio
erie
ac b XE F arci h-0 huns aequationis, duarum radicueni
c
Xe
AE, (e summafaciet ac 1b. Praeterea quoniam suncta
_
et
ided
B) cadtunt in rectam et ex D ordinatim applicatam
_F vel Cd (5 ducendo ad directricem quandam seu
anem si
(∞ et PAvocando y. utiqus ea natura recta
9D (2d erit. X: y = m: a posito per rationem
ipsuis m ad constantis simama, exprimu anquilum
recta tuijus ad rectam primariam padireotricem
datu