# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/15558/text
# Catalogue record: 15558 — [Math. Rechnungen]
# Incipit: 1/1 + 1/4 + 1/9 + 1/16 etc. qvaeritur
# Date: 1696
# Akademie-Ausgabe: AA VII (assigned, not yet published)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=15558&katnr=45233
# Work: https://leibnizlegible.com/work/DE-611-HS-958803
# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folios: Bl. 108 (from the shelfmark LBr 57, 1 Bl. 108): 2 pages, canvases 217–218, page ids DE-611-HS-958803:0217 to DE-611-HS-958803:0218
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=217
# Lines: 33 recognised on 2 of 2 pages, mean confidence 0.72
# 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 108r — DE-611-HS-958803:0217
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000217.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
= + L + = + 1 ete quaertur
b
X + X + x + X etc =y. Ergo fiet
X + X3 + X + X etc = du B: dx = Z seu
 sin X + X + X + X = y
e
9 10
 fiet
X + X + X + X = dy: dx el
et  X + X + X3 + xt - ZX Fdyidx
2
3
c
Ergo X + X + X + X etc = Xddys + aedus
seu L = X deyu + dy. slite
1X
dx
Aliter
X + X + X + X etc = y
a
9
16
fit X + X + X + X = dy: dx
et X + X + X + X - ddy: dx
seu = ddy: dx seu (S= dx dx =y
X
x=
s
(Sudx dx =y

## Folio 108v — DE-611-HS-958803:0218
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958803/jpgs/default/00000218.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 4 lines, status machine
X
 
d e
+ X + X