# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/1167/text
# Catalogue record: 1167 — Calculus pro quadraturis elegans in exemplo
# Incipit: d[xω] aequ ωxω-1dx
# Date: 1679-04-23 (79-04-13)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=1167&katnr=58705
# Work: https://leibnizlegible.com/work/00068073
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folios: Bl. 24 (from the shelfmark LH 35, 7, 1 Bl. 24): 2 pages, canvases 47–48, page ids 00068073:0047 to 00068073:0048
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=47
# Lines: 120 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 24r — 00068073:0047
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 64 lines, status machine
13Aput
1674
3
Calculus pro quadraturis Flegans in exemplo
s
t +3+Z +2 f8- EC
seu
E2 +3 aequ. 6 fy2
2
3+ t+St St f2t - 2D- 2t) Eago 6++3
Ergo
s
f7
con1
H
Ergo a se aequ  de sit e aego 1 + t ayo 
rit de aequ. 0+ 2 + aL. Ergo
d 11+t aequ
(t
2+ dF aequ. et
2V1 + f
Z
seu posita et aequ. 1., et zaego Sit 
erit  a L aequ.
et ty aequ. y du.
rgo
aequ
u
+Vit +2
1 + +
153
Ergo (+Z aequ
aqui
Si + (2
+ate
2 1+ 1
3
3
seu
Quae methodus
quadraturam hujus figurae inveniendi
pulcherrima estt Eodem modo
dz. aequ T at Ergo habetur  generaliter
2
ck
+
ih
L aeqo
y3
dz
e
h+2
d
ha
u qu 1,L
nam est aequ. h+
et fiet
ona
seu EY(h 2sit F aequ.
+ aequ hris
tdc+t
t-
Ergo L dze aequ t, 3 sed hoc patet jam ex praecedenti
tentandum idem in altioribus.

## Folio 24v — 00068073:0048
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000048.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 56 lines, status machine
ccelcutus pro quadraturis contract in exemplo
1679
 ul
d.
 ut aequ
V
l, d 2tW + v
Ergo F aequ. co- 
est
2 cet
V1+ t aequ + c0 - 1 c sed
c+1
1 2C)
24. fat 4 aequ. et  aequ +.)
multiplicetur per t. fiet:
11+t aequ. 10 - 1
4c0
Co1 as
a
aequ Z aequ V1 +f2
laequ
ce
or gu. 64)
a
n
ee
12
dz aequa
2
: dz aequ L
e
bC + c F + dfZ + ( f29
u
si dz aeq T. ngo C aequ. 3 du. Ergo
aequ
l
A
tEM+F
L
(7 aequ Z dy. Ergo) tZ aequ 3
2
e
3
, ritte
ll
E 1+F quod summe notani
na
 et his artibus calculus quadra
turarum saepe contrahi praeclare
potest Nota qui datur fCr
vide pau. sequ. dometur versam
n
deo dabitur seuper momentum
eu R
yh ponamus L aequ. G ergo dabitur
emper quCo d