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# Page: https://leibnizlegible.com/page/DE-611-HS-958803:0321
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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 160r, page id DE-611-HS-958803:0321
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=321
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000321.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.73
# 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.

e edinchdemus
am
seu rut
Redinchormus debet esse DC qui HC) = ~. DC - XXtyy
et DCC)  (XX) + (9y). Ergol XXFgy 3 (xX) + (yy) = a
jam ob  C (C) rectam fiet (2d0) X2y = (X) : (y)
quaeritur relatio inter X et y. Fit to
v. xLD.a. posito V dari ex X
uo semper elicet aliquando ircationaliter) atineri potest. Ergo per 2, utique V
debet vdari eodemmodo ex X, at ut X, ut ex (X)t () (Y) x) = D: a
jam exa 3 aeq. 1. est t) a: XX(X) = 1+ Gy. XX, C  Y1 + (1y) XX. ergo
fiet?  jam eto seu per 3 et + hit P ab: t (X) = 1+ 2 ∞ V: ax + v. at, 1+ Wb: aa
+
da
o Hinc sequitur s (X)
p
compuuma: X (X)
Temper esse
tem sed  ex
etiam est est e commnnis Ergo yt siet communis, quod etabsurdu t
 vidtur hocbilema non esse pollibiler Et dato anculo EDC
do
eon
22. 35 op mhgns
2o) Eguo op anorsuos
nosuon
datur DF AB(F,
se
si sit DC. DC aqualis constanti osu Exxtgu  ,
aa
mad
d
fipt 1 +g.x, sit D = ad: X () -. Ergo X (X) semper
est commuris, et dalo angulo DFC datur DF. D(F)
pton