# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068243:0008
# Permalink to this reading: https://leibnizlegible.com/page/00068243:0008?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 30
# Folio 4v, page id 00068243:0008
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068243&page=8
# Source image: https://digitale-sammlungen.gwlb.de/content/00068243/jpgs/default/00000008.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 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.
# 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.

(5V
quatio 31. nempe 6464g 0 ∞ - vco X + 4- X p ita commodissime
(37) 
(33, 
divelli poterit in duas: 649c0 X - X 70. et -vco X +A0. fiet ex priore
+
64g c0 A4. seu 8ga seu  H 169. et exposteriore seu 33. fiet vcox fh. seu Xp
(+2
et.
seu ex 35 substituendo valorem ipsius eo ex 34 fiet: X)(
E)) agth2d. hu, et vh  (+) 2 sed udc sit r, 0 quod esse non debet
649 pX  16. Ergo 88 p4. et 29 Y g +, inde ge 9r1)
+9+1
veo
. seu X B9. et quia ve 9e1. fiet
64g c5 X - Gco X - 2 g10 x = 1o X 1 4 - x 70
64 9c5 X - v 10 X + 4 - X (0. i 6ag A _ XH 169 5 )) 4VC
b4 g co X - g co X - 2 g es X = co X + 4- X +gF) 2v. Ergo aVB 2g. p5 +1
10.
seu faciamus 64go
I + 2Co Xg B + 2CoXβ + ( - 64g cs X - 4
X
fiat: 2c0g β + 21o Aβ - 648 c0 +  Yv. seu βF
ex (3- 4 sit quadmtus.
3+2 sit p N C. et B. 2 p Apst
1649c6 -
2c09 42c0
seu BaE sit p ()- n A
seu β1 Nn - 2. F Ap +2. et AM - A M p, a
sit A ) N. et A -   . fiei Ap 2 + p Y) N
et Zn + pi g, N. seu  sep 3( fiet ++ e p, 3
seu np 35. fier 3BV + D N B 1 et Np 1= 7 3
et n p 1-23 et A
12
12
3
Ergo 1- 13 - , - 213+ 7 
145)3 seu 433 ,3. 43, + 12 3 . j
seu a3  2 - Z 3 sita
(P. 4 ⊓  (B+ ep 2 βs Ergo Brjo- 
25Y seu 649 est 2N = L s p) 2C09 N = 8 Cog 4 rco - 810
seu 648c5  N- 4
2C09 + 1c0 H
= 4