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# Catalogue record: 1184 — Methodi quadrandi quae tantum pro figuris integris dimetiendis serviunt:
# Incipit: AE; x. EF y. AB a. BC, c ∫[ydx] + ∫[xdy] aequ xy. posito x et y esse
# Date: 1683-02-11 (83-02-01)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=1184&katnr=58724
# Work: https://leibnizlegible.com/work/00068073
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folios: Bl. 53 (from the shelfmark LH 35, 7, 1 Bl. 53): 2 pages, canvases 105–106, page ids 00068073:0105 to 00068073:0106
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=105
# Lines: 32 recognised on 2 of 2 pages, mean confidence 0.86
# 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.
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# 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 53r — 00068073:0105
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000105.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 29 lines, status machine
1 Fetr. 1653.
Melhodi quarrandi quae tantum profiguris integus dimetreadis serviunt.
AE, X. EF y.
y dx aequ a- X dv. y
AB a. BC, C seu lyd aequ a -X dus
y dx aego  yax + sxdus aequ X y.
seu
posito X et y esse concrescentes. seu AEF A. + ALFA aequal. AEFL
demonstritur ex Generali calculo differentialium: d Xy aequ. X dy + ydx
XZ 1 aequ. XZ dy 1 Xy dy + yZ dx
Et Hinc: Xy aequ SXdy + Sis dx, quod est universale
In casu autem speciali est:  cum X aequ a et  aequc.
fie faciendo 4. erit X y aequa dy. quia aegu.
et
se
quia Sa dy aequ Ay aequ Xy). ergo erit
adque aequ )X du + Sydx. Ergo a -x aque aequ fydx
similiter in casu speciali cum y aequ. c. erit Xy aeqo se dx (quin scdx agora
seu c- y dx aego dxdgue. in Toto 
ergo erit sc ax aequ xdus + Sydx. D
proposita quantitate, Lummanda quaerenda
atia secundum quam una exstente Xdque
altera sit is de
polest semper
Sed hoc ixfuri
Yaa-v du
pro solito sumamus: dxyzaequ 2ycZ +xZlytry ax
unde rursus in casibus speciatibus innumera ductuum
fheoremata habebuntur

## Folio 53v — 00068073:0106
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000106.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 3 lines, status machine
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