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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 159v, page id DE-611-HS-958803:0320
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=320
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000320.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine
# Lines: 21 recognised, mean confidence 0.85
# 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.

ptimaratio erit assumen aequationem ex. gr.
in qua constat ex ullimo, esse
dectangula radicum
0.
iuom
aequ. ac. verb. gr. XX + x + aa. iade
Huic jungatur aequad rectam, ubi ax ny, ex na
furae rectae quae curvum quae tam secare debel. surpo
nitur autem b dari ex n ut cunque e quod s
jam ope aegu. C et 2 tollatur n, habetur Ereg. 3
sin qua X et y abesq n, quae est ad carvam cxcest
tam, joront ergi b, alitratus aliter assumitur ex a et
a. rationaliter tamen, mutabitur curva. videndum
e
aa non priu liceat tellere exaltare aequationes  et
L. seri mulliplicando et componere inde 2tiam
n. Jane si aeq. 1. mulliplices
ex
et tollas deinde 1 per 2. fint ag. 3 divisitulas in duas
ut tum cemum tillerti
seu non procerit multiplicatio