# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068073:0041
# Permalink to this reading: https://leibnizlegible.com/page/00068073:0041?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1
# Folio 21r, page id 00068073:0041
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 20v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=41
# Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000041.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 63 lines, status machine
# Lines: 63 recognised, mean confidence 0.76
# 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.

ores
sit curvae conicae quaerenda aquatio
7
24
a + b X p y. AbX dx riey dy
bx dxp Va + bx du. seu dus bx dx
a
di 
sum
2
b x ax
a + bX
dy + dx 
a, +
quaentur codo
2
a +bx
ra +bx2
1
1)
codue
sexplicernda est hoc modo ut faat
som u
substituto valore fiat. bX +1 pco
quantitas rationalis.
a2+b+2
fiti, cop V b2x 4a + bx, Pae + bX AC
a + b XC
cujus nimerator vinculo comprehensu debet
esse quadratus. quod fiet si primum
sit: a +bx quadratus  bX + x rby +y
p
fiet: X py a2- y2
e
27sb
et 1a+bx
seu 2a +bx a
y2
2y
Esficiendum jam etiam ut
a- 
at
fier Xp
2
et H a +y at Z
2Z5b +b
 a = +y
2y
+b X + a si
+ b
et Sb x +a
2Z Yb+b
2y5b.
Restat faciauus. XH ay
2yrb
a +Z
H
2Z 1b +b
a = 5t
2
2756+b
quaerenda relatio inter y etz. Sed Eanc ratio
nalem reddere non est in potestase