# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/814/text
# Catalogue record: 814 — Distantiae centrorum gravitatis proportionales ordinatis
# Incipit: [∫xydy]/[∫xdy] aequ ax
# Date: 1676
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=814&katnr=58395
# Work: https://leibnizlegible.com/work/00068041
# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 23
# Folios: Bl. 16 (from the shelfmark LH 35, 5, 23 Bl. 16): 2 pages, canvases 31–32, page ids 00068041:0031 to 00068041:0032
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068041&page=31
# Lines: 39 recognised on 2 of 2 pages, mean confidence 0.69
# 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 16r — 00068041:0031
# Source image: https://digitale-sammlungen.gwlb.de/content/00068041/jpgs/default/00000031.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 14 lines, status machine
e
ax
a
Num Xy- ax
a cn se
e
ag. XV
dar
est l loganthimus et
et numerus.
Ergu ret
as
ky.da
aeq. a

## Folio 16v — 00068041:0032
# Source image: https://digitale-sammlungen.gwlb.de/content/00068041/jpgs/default/00000032.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 25 lines, status machine
e
to
atis
y ayhonctes sd
equ
Ax Xa
arris Lq sxd
es
Fx dy rydx
cax dx
y2d+
aXX)
A+
xy agaeq. saxXdy
Ly
en
ag
aeq. X
xd
X dy +y dx
=3a XAX
Sea loag. XY-3a
e
xax
axe verto