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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 13
# Folio 1v, page id 00068031:0002
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 68 lines, status machine
# Lines: 68 recognised, mean confidence 0.73
# 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: the recognised lines in reading order, one per line.

e
e
e
xayae + (x + Cyxdu B ∞X Et similia
invenire in qua
Curvam Efficert ut pL sit quantitas data, seu ordinita data cuma
dx
a uL et debet autem esse H duta relatione vel ad
LB et
pL
L
ad AtB vel ad AC, si ad AB tunc dabitur
ex data X, sin ex BL dunc dabitur ex data Y porro EId est ∞.
 WL est dy et sL est  dx + dy C
fier aequatio
s
se pdx p yTadu vel p dX p y da + 3dy
 Quod si P datur ex data X, ert resumta aequatione
pdx y Saa erit See quantoreis
p quantitas cognita
et videndum tantim an ydu sit etiam quantitas cognita
desset sydys foret Quantitas cognita, nemmpe 3 si esset y dy. fo et
L Videndum erg. quid sit sit hoc monstri
etiam si quis quaereret, quid sit
Sydus
2
 quemadmodum
Y ydys Ergo, ydy dy Y 2y dy. Ergo y p
seu geds
Videndum clu nihil protibeat poni
Colgerte
3
ponamus enim y r. Z. erit du A dy. sed jam videorem non
be
procedere, aliud enum est dy, aliud dy
5
du    ma quid est at Ec adus
quia 3 dys p, dy. euit y du p dyt
esst
de y X  2ydydx
B dx + dy addatur utrobique 2 dxdus
etx
2
fier: P dx yaxdy  (2) de +dy seu p u toyda dys
ideo ne male colculise non est BPp X.
t
BPY dy P
2. Ergo pdy pjydus sex rag
d
Ndx + dy
hujusmodi aequationes irregulares excilentur datis simile
sumendae sunt naturales quaedam aequationes est tot tot literis
+compositae quil habermus ut hoc loco non nisi X et y, quia
peo p substatui potest valor per y, eam q aequationem varie
ZAE Explicando, ope summarum et differentiarum,  componatur similis
d quaesitae, ut aequatio a + bX + cy + dX + Cy + fxY BC. po.
vare quaerantur differentiae fietus aequatio nova Ex his aequationiba infinitae
e aliae possunt exitari, primum enim unaquaeque singulatum
olei poes m
t se
5
2
E
x
e
e
S
e