# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/53358/text
# Catalogue record: 53358 — [Math. Aufz.]
# Incipit: p/b + bq+f / b = q + f/b
# Date: 1713
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=53358&katnr=23824
# Work: https://leibnizlegible.com/work/DE-611-HS-867168
# Title: L Br. 827 · Schöttel, Th.
# Folios: Bl. 56 (from the shelfmark LBr 827 Bl. 56 (hat mit Bl.55 ein Bl. gebildet)): 2 pages, canvases 111–112, page ids DE-611-HS-867168:0111 to DE-611-HS-867168:0112
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867168&page=111
# Lines: 64 recognised on 2 of 2 pages, mean confidence 0.70
# 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 56r — DE-611-HS-867168:0111
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000111.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 60 lines, status machine
e
69 + f-
t
9+
s
4= rb +g sit 11
urts dividtnde bb
e
4
1
seemper
e
de
ervo
b b06
quaedam operatio transdivisionem, quae vocari potest exsranstrt
pe chade
quaerendo
quotim
la ut omnes si
s
C
et quarem
h
d
b
+45 + + etc usque an
60
F etc sint minores ipso b
v
invenire numerum e et 
e
b
ubi opus est
Cei et seriem residuorum, S,h, did
Haec operatio est propire reductio numer ad 
aliquotimalem
e secundum b, id est ad bimatem si b sit 2 ad tetractyn seu
quadrimalem si b sit
nam sit
P
4
+ h b
exraustionem, ubi omnes si
t
ad decimalem si b sit 10
c-1 4 f
id
2
 a
C3 + etc. usque ad
intem affermativ
gete sunt (minores quam b, e aliqui sunt
et aliqui aequari possunt nihil et solent aequari nihilo
t
5b +h fit P - (+ t
divistaque
Et ita porro, donec quotiens ipse tiat minor quam bE
doo
e

## Folio 56v — DE-611-HS-867168:0112
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867168/jpgs/default/00000112.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 4 lines, status machine
edetomenstet moerobibcetick
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