# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068197:0218
# Permalink to this reading: https://leibnizlegible.com/page/00068197:0218?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 109v, page id 00068197:0218
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=218
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000218.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 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.
# 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.

quod affinet hoc problema Curva inveniredata
ad rectam rationis, id et alia Methodo tractar
pb unde novae meditationes. in cylorde est semplr
FD, ad Ed, ut +C ad AB, et AC. Chorda 
i subduplicata, rao ipsius sagita. AB.. Honc habetu
facile pregs dimenso. curto suive cyclgidis
si assumerentur ipso AB progressionis G0 nchica
elium differentiae earum forent ejusdem, et func
dF, forent jm subduplicata rave ipsaru DE.
quid si imo problema sic concipiatur  invenire
lineam tarem ut suts ut sint DF in splicata rave ipsarmt
DE. Quod si jam sed hoc non videtur dubiri autem est an
eoc ad suminandum sufficiat, iisi scrarmus qua serie assumuntu
isa AB.  Certe sa summa quidem ipsa DE datur et
sed ex ulla data non datur, summa ipsam DE . DF, nisi detur
et relatio ipsam progressio ipsam A(. quo sine
assum ab etiam non gcometrica,  saltem enum ateanque assumta
fi
elabitur deuide summa exstis nau Bq ipsis DF propor
tionalum ductarum in gisas DE. sed abso ute hinc non dant
Tulerm dignum consideradne est tate
ipsoe 0F
.
V
problema in qua oquad pujquemodi 1+x +due
dy deo vel = qdo du sumle dco prounilat
infinite parva. Interim ad summandum non aeque sufficit
es iam non est facile dare sum idu nisi
de V aX - XX = y. Assimitur queritur formula talis ut si y = s pC
foe seu
quid accedai
X fit ly = e(X seu sa = e
ter dy = e du  de ( = Ax Tay XX
ergo fit
dx dap- e
e
dy
e
X
e (av
V
seu et si et ∞ constans ut _a. fit 1y = e la. seu
dy = e la seu dy = de là seu dx sax-xx - de la
seu fit (a de  (ax SaX = XX
dx Sax: x = a de la
si jam e  a. fit de = C = X