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# Piece: https://leibnizlegible.com/api/records/9141/text
# Catalogue record: 9141 — Huygens für [Leibniz]: C.H.Z. De Problemate Bernouliano in actis Lipsiensibus hujus anni pag.235 proposito.
# Incipit: Elegans imprimis esse hoc Problema,
# Date: 1693-09-17
# Sender: Huygens — Addressee: Leibniz
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=9141&katnr=41885
# Work: https://leibnizlegible.com/work/DE-611-HS-3595205
# Title: LBr. 437 · Huygens
# Folios: Bl. 58 (from the shelfmark LBr 437 Bl. 58): 2 pages, canvases 119–120, page ids DE-611-HS-3595205:0119 to DE-611-HS-3595205:0120
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3595205&page=119
# Lines: 60 recognised on 2 of 2 pages, mean confidence 0.89
# 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 58r — DE-611-HS-3595205:0119
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000119.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
C. 11. L. Do Groblemato Bernouliand
in Seh opsonsibus hugni aum. pag.
235 proponto.
Elogam impremii esso hoc Problema, cum ex yt quo Clari
simus invintor dioo prodedi, tum ix Salulion ur com
mearationo frariona manifirtum ir. A quo invintigando
cum proptis insignim difficultarum quae statim soso offirebat
abstinero otarurivam (niquo enim omnibur putqumindii
iucumbirs
quae a verri Erudini excrectus graria proponuntur nocius
exirtimo, aut assequindes parons ous profirior) non desist
tamna quari nvitum compollitu recurritr idcatidim quasiti
non vulgam idia; donde tandm quad deuratam obtinm
Inviara armirum AEquationo diffitintiali in qua x altira
parta irat Elchurnrum trapoius hypabolici, ab asgmproto par
pondicularitum intircptii ab altita Eliminrum sparus curvili,
nii quod itidim ad drazorium hypisbotucum reduci stastor. Quad
apectimm exponchim niri rilinquindam criamnum aliis pata
roa ingurrindi voluptatitu. Tado eo rotu dodacibam ut
graporium ignimodi hyporbolicum socandum ortet, aut augindum
secundum rationo datam. Quod cum por midiam, aut continuo
propoctionatos, friti possot, ubi rario tanginrim ad abscirsam
est ea qua numiti ad nunutumihiu aspurum curvam
quae sitam tunc yo accinrindam quae quomorica vocantur
aliam insa ix Hetirogini; ac tamin constructionita dam
posita linva Logarcthavicio doccriptiono. quam quidim hic
adducitem, nisi vidirem haud diffcentur ex ipia hac. Tirmon
ly dochisima simul brivirsimaquo Soluriono ò irai pous
ut jam ab algo occupatam dubiuum.
Calligitur viro  hirillud anmadoicono dignum, nincto
m invirtigationo
ongar
simitar ei quam dexi aequationim p. rodaritur, aut in quibuo habo
atur utrimque Elemitorum spatus ad traporium hypirbolicum non
ductibitii; tunc idim Eoc, quad mirabito hic accidir, ivintu
rum, ut curoro qiomimcao divitrorum cgihitum graduumqno
exirtant, si hyporbotarum ad quar devinitur rectangula, qu
in asgniptotii, sint comnunurabilia.
Grahiria obsorvanda vinir in hoc Groblimiata cansitata
ar singutaris analysir rea, qua ad alia mutta in hac

## Folio 58v — DE-611-HS-3595205:0120
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000120.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 20 lines, status machine
Tangontium doctrina adctum axirir; ut agrogeo jam anmadvicta
Vir selibihrimum, salculi diffironnatio auviurar, uno quo via
exor ut ad cario quomerria subtilitator adurtirimur.
Porro quod ad Currarum de quibus agirur disignationem in plano
Hmet, possia si opirapiirium. Nsor alioi modor ac sortarto
commodionis iadicaro quam qui a (. Ternoulio prrororibitur:
atquo oriam daciho qua rationo optimo poragarum dircriptio
noctro quadhatrimi hyporbolio, qua mor ractorrar, (ita ium
Vocari possunt) simplurisima cinronda va, cum ad dam filii
nihil opus sit, sod bacillo tantum utrimque cupidum latia infixam
Eabcaro, quo fit ut or regrion exploran porsir quam victe exaala
sit. Sod sir suporrodendum arbitrer donde insiguri uno aliquii
Earum liniarum, in luco profirarur. Intirim aliam quandam
utilircimam survam aupor arhi ropistam Quomirio saanti
cujur opiha Eorologui aequatis morus concitratur. utque agurmodi
ut marii agitationo nequaqua turbari aut imminai quiat,
quod in Tendutis nortris Cartinur mcurparis, non satio cacuni
poturt. adio ut nova a cltior spos nune affulguar pirfici
cndi Longitudinum ruvinri. Curva haec formatur.
aabbe deeccetiicrillemmmmnoressttnux.