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# Piece: https://leibnizlegible.com/api/records/60637/text
# Catalogue record: 60637 — [Aufz. zur Integration irrationaler Integranden]
# Incipit: √(xx+ab) + √(xx+ac) = y
# Date: 1713
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=60637&katnr=57625
# Work: https://leibnizlegible.com/work/00068197
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folios: Bl. 56 (from the shelfmark LH 35, 13, 2a Bl. 56): 2 pages, canvases 111–112, page ids 00068197:0111 to 00068197:0112
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=111
# Lines: 42 recognised on 2 of 2 pages, mean confidence 0.76
# 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 — 00068197:0111
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000111.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
(XX + a4) + Y (XX + aC) = y
s
L1xX + ab + ac) C + 2 sex tab, Xxtac) 
Xydy =  X. agus) = L xa (2XX + ab + ac) +X d (V(......)
saa -XX) V(a +BX
NHa -XX) dx XV (aa -XX) dx
X S(aa -) de
absoluta haberi possunt. sit XX = a
fiet L adque Y (Aa - aZ) summanda
xax - a
EZadiZ Y (aa - aZ) haec semper
Lyatque t (aa- a3
et
XX I(aa =XX) dx
XE (aa -XX) dx
ed
summami
possunt
er non possunt
Y(aa -XX) dX
summam nisi
ex supposita
circuli glura
si eo eodem Modo habcatur ex a, X, b
quo lu a, X, C
1)1
sit V= 
der
=
dx
ly= co lb et dy: y = deo lb et dy = s dco lb
ad = RX deo R
a - a lx dk da lX-
2
15) reduri ad merne ries  sine transcemen
ubus
i
quidsi
1= 6hCE
et ex 5 +9

## Folio 56v — 00068197:0112
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000112.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 2 lines, status machine
ce ranoeo
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