# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/18530/text
# Catalogue record: 18530 — Leibniz an Bernardino Ramazzini für das Giornale de' letterati. Mitteilung über das Brachistochronenproblem. Beilage zu N. 31
# Incipit: Cum Godefridus Guilielmus Leibnitus ante multos jam annos deprehendiss
# Date: 1696-09-14
# Sender: Leibniz — Addressee: (Diarium Eruditorum Italicum)
# Akademie-Ausgabe: AA III,7 N. 032
# Other printings: Di Pietro: Carteggio fra Ramazzini e Leibniz, in: Atti e Memorie, Serie IX, Vol. 4-5, Modena 1964-1965, S. 164-165.
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=18530&katnr=37727
# AA III,7: the volume in the Repositorium des Leibniz-Archivs (CC BY-NC 4.0): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-bd-iii-7
# In the Akademie-Ausgabe: AA III,7, p. 203 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/III7A.pdf#page=203
# Work: https://leibnizlegible.com/work/DE-611-HS-862123
# Title: LBr. 755 · Ramazzini
# Folios: Bl. 15 (from the shelfmark LBr 755 Bl. 15): 2 pages, canvases 29–30, page ids DE-611-HS-862123:0029 to DE-611-HS-862123:0030
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-862123&page=29
# Lines: 79 recognised on 2 of 2 pages, mean confidence 0.84
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 15r — DE-611-HS-862123:0029
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 14v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-862123/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
e
Cum
Gode fridus Guilielinus Leibnitius
duc cum ante multos tam annos depre-
sendisset plerumque cum eppatuia ad
AXI
naturam quilicata est infinici contideratio
 preta
nem intervenire, cun geometrii ad natura
applicanda est quoeubique characterem infiniti
autoris refert;
apuricat et novum
exagiravit analusseos quau seve calculi
tenus opro scientia infiniti. Mathesis enimi
generalis duplex est una pro finito, quae hactem
 exenfsaa
pro finitquantitalequae hactemus naclala
est altera pro inffiniti. Et cum deprehendere
infinilesimas non melius cognosci quam
panlitares.
per differentas ordinariarum novum carculum
cmmentus est quem differentialem appellat,
Is opera egreniaum aliquot virorum nunc
plusbis
mirifice est exeistus inter hos joh. Ber-
pullius noullius professor Mathematim
praclam.
GroninganusV et equeria imprimis specimina
dedit
. et nuper i  volvit problema
eqvens Datis duobus punctis non in
eodem plano hord invenire neam per
e
quam grave ab uno ad aliud brevissimo
sann
tm tempore vi sui descensus pervenire possit
i scientu enim est, viam facellimam
nic non buper esse rectom

## Folio 15v — DE-611-HS-862123:0030
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 14r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-862123/jpgs/default/00000030.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
seu tempore brevissimam
ne nonsemper est
spatio seu rectam,
1
e brevissimam
pothageticum Adeo ut si trian
gulum sik L r ABC, cuiqu
catihetus verticaliter erigatur et sit ut 3
1
Iusit BC ut 4 et hynotemusa ut5
aberibuitio decasione hujus problemalis
ostensumeodem tempore a gravi
vervenire abque A ad C via recta per
hapotennsam AC, et de per circuitum
pathotet bases A. A4 BCosi modo
poe ponatur grave itipecu per cathe
sum conceptem pergere im bati joem
a
problema ipsums cum esset pulcher
pimum Lcibnitius quoque
stncem
aqpressus est,
in eandem l et solvitua
et
Co e
in eandem cum sa. iobe Bernoullio
lineam incicrise collatione jacta
deprehensumat
tumet vis
uanquam nulla prius rcommunica
tione facta non trontempendo
judicio veritatis. Nunc rogantur
Mathem altiu ut problema idem
rentiudo vires methodorum
suarum experiri velint. num
t quod si antes pascta
equentis anno nemo solutionem
Nam
ruta
es dederit repererit
Bernoullius suam publieabit