# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/DE-611-HS-958803:0013
# Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-958803:0013?run=74
# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 7r, page id DE-611-HS-958803:0013
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=13
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.83
# 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
n oongu
1Y
Nobilissime
et
autor Honoratissime
Gratissimae mihi fuere literae tuae, vel ideo quod amissam
tur videndi spem utcunque solantur.
observo
Jaudeo illa quem animi
verto animorum ac methoderum consensu, video enim multa
risti amnadversa in quae et ego incideram  saperione
apgo ad du. Marchionem Hospitalium Scribiere memini
se mihi rationem omnes aequationes differentiates jurmi
gradus, in quibus abest constans implens leges homogeneorum
reducendi ad quadraturas. Id nunc tibi quoque anotuisse
animadverto.
veco admodum et ane eodum
naturam et
meam quaerendi crg
liter transcendenticum, ubi scilicet.
Tronscendentium Exponentia
in aequatione ondeterminata in greditur
exponentem. qua ego jam a multetempore
simu usu 
e
2
cui in solers id calculiludi genus videbatur Ego sic procedo
verb. qr. si sit
2
Ergo X Og1X =Glog. y
C
5Ly. Eqelis procedo
C3
rego X X (dx: x = as. dy: y.
seu
datur ergo log y ex data X ejusque logarithmo. Adeoque datur
et y, porro, differenbiando ex aeq. 3 fit dx + dx sax: X= Cdy: y
seu dy: dx = y. a 1+ Sax: x Ergo habetur et ductus tangentium
parsus seu dy: dx = Gue ), 1+ saxix Ergo habetur et ductus
tangentium ex positis logaritharis.
item aliter ex ag. 3.
ex x = alx ixx fly:y + ady: xy seu ex XG. adxy sag y + andus
e quadratura cro sigure tes est altions iuoagum.
i
larissime