# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/7504/text
# Catalogue record: 7504 — [Problem]
# Incipit: Inqvirendum qva proportione tendantur chordae,
# Date: 1690
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=7504&katnr=45204
# Work: https://leibnizlegible.com/work/DE-611-HS-958800
# Title: LBr. 56 · Bernoulli, Jac.
# Folios: Bl. 61 (from the shelfmark LBr 56 Bl. 61): 2 pages, canvases 121–122, page ids DE-611-HS-958800:0121 to DE-611-HS-958800:0122
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958800&page=121
# Lines: 57 recognised on 2 of 2 pages, mean confidence 0.81
# 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 61r — DE-611-HS-958800:0121
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958800/jpgs/default/00000121.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 158, 2026-09-10T04:25:56Z — 53 lines, status machine
inguirendum qua proportione tendantur Vlordae, si ex chordae ex tensione
sequatur, compressio ipsius chordae vonantur autem centenesienes
ut vires comprimentes.
L  M
ut
cyludricum
titum
AB in AC
2
ecitroce
ABC cujus longitudo AB, diameter AC. area est
ut (AB) in A
Adeoque alterum ficuam cylindricum 
t
ICe
e
erit
LMN erit ut ALMin _ LN jum
aequales sunt AH AB in A
LMiLN
et eam pressio
jam pondera sunt, ut compressiones. Ergo prrdursementia fibura A ex statio naturali
a
exprole ut spatium v vel (C) (M) (V
erunt  reciproce ut sparive sen pprimum spabum sit ut sparia
seu  reciptoe (et LM _ AN ad  L(M) in (L) N
e
L(MN).
e
LMA 2)M)
et proinde si pis
ut excesso spatiorum LMN, L(M) (N, super sputicom
s
tendentes erunt  ABe AB in AC oidis jut
t
adeoque vires
ut excessu
e qan
BC, super
Nam quo majur est excessus sunt Nam quantum spatii
me
amlu
palia nn
ademtum est, tantum Materia Pingamus nateriam e latentem comprimendam jam
idu compressum vi certa in spatium inquo esst; vig. pondere aeris incambentis vel analogo
et majore
e
comprimi in spatium minus HK.. . tet et salit linemm reciprocas
 seu lineamsX (k) esse Hyperbolam. itaque vires additas esse FA, sed 
vi ABE
spatia ala fore ut F
FH seu GP, spatia vero ademta ut Kp. ituque ot
patium mios M A, iitus est nt si spatii LMN differentia a slatio

## Folio 61v — DE-611-HS-958800:0122
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958800/jpgs/default/00000122.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 158, 2026-09-10T04:25:56Z — 4 lines, status machine
DTTFRIED WILHELM LEIBNIZ BIBLIOTH
DERSACHSISCHE LANDESBIBLIOTHEN
atuII
u