# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068197:0199
# Permalink to this reading: https://leibnizlegible.com/page/00068197:0199?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2a
# Folio 100r, page id 00068197:0199
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068197&page=199
# Source image: https://digitale-sammlungen.gwlb.de/content/00068197/jpgs/default/00000199.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.86
# 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: the recognised lines in reading order, one per line.

a:
Maximae investigatio
sit aequalio 9 ad curvam abu aequa
gaequ bxx cx. Quaeritur y maxima.
Debet esse talis, ut faciendo pro X ponendo X
X+ dX ipsa (y) ddecrescat, et pro X sumendo
X- ax etiam decrescat (y), ut cunque parva
ponatur dxe fiet scilicet
(y) aequ b x + : bxdx + dx aC X _- cdx
et ()) aequ bx A2bx dx + dx - cX + cex
jam si bx + cbx dxtax p cx + cdx
debet te y = (yIVmnore
autem tam
s
et 2quam y =(VB) esse majorqua
Ergo
el saltem
vel non mina quam O
mas
(bXK CX= bXX 2bX dx -dx 4(c XHcdx A∞
A non 1 (p) quamono
Item (bXX) (=cX - bXX) FbXd +de ACx X Cdx O
non  () o
Au2
quod fieri non potest, nisi sit- 2b+ d dx +cd
quia (a- b, d et bLa non possunt  esse, ambae affirmativae
amba negut xnist sa ac qu. b.
aequ. 0. et quia ax s vel 2D X = dx +c0q 0
et omissa ax, cum sit utcunque parva fiet.
l
26X aequ- c. seu xaequ
2 unde ex facile
habetur y. Hac porro methodus forte
uti Coincidit autem tandem hoc methodus coam
communi ubi
dus aequ. 0.
e
sed videndum