# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/994/text
# Catalogue record: 994 — [Aufz. zur Integralrechnung]
# Incipit: Si sit aequatio zz - p - b = ∫[dz:z] + ∫[dp:p] fiet zz - p - b = log.
# Date: 1691
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=994&katnr=58576
# Work: https://leibnizlegible.com/work/00068051
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folios: Bl. 32v (from the shelfmark LH 35, 6, 6 Bl. 32v°): 1 page, canvas 64, page ids 00068051:0064 to 00068051:0064
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=64
# Lines: 46 recognised on 1 of 1 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 32v — 00068051:0064
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000064.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 46 lines, status machine
e
fiet
1.
sit aqualio
L
sit
a
p a (pap.
u
=
gq = P= b = l09. 1 p.
Z- p - b
2
d
dg. 7 + pap: p
adeoque fiet
L
hinc s p est quantitas ordigia ex Z oportet
s dp. 77 esse summabilem ex quadratura Hyperbola
quia  app - (2Zdp -
2
l
ex eadem aequave
atL.  s
et qua hinc si p est quaritas ordinaria ex
portet et (7q ap esse quanlilatem
Nu
marcm
C Xdu axde - aydy
sit dus constans
et 2X dx du = axddx +adx - adu: et pro dx
C
ponendo valorem ex aeq. 1 qui est dx = X dys + ay dy,: ax
siet 2xX 2X dy + 2ay dy 3: a = axdax  - a dy
2
C X dy +2 X ay Ly +aydy. ax
iel sic dx
dy
et C
= aytx et dex dox= axadyrixde  agtxa
ax
ais
 aaXX
en ldx = ax +24X y+ 2ax - ay+x
d
3