# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068198:0405
# Permalink to this reading: https://leibnizlegible.com/page/00068198:0405?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 203r, page id 00068198:0405
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=405
# Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000405.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.81
# 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.

nd
IXX+UX + 12 = S Et (1d0
10XX + 2IX +21
habeant communem divibrem (3)
smultiplicetur per
30X + 3I =0
40X + 4 L ut
ial aequatio (4ta) 30.40X + 31 qu X + 3141 =0
+30.41
aiquad  Et eadem aequ. 3 multiplicet
per 50x8+si ut fiat ee inde
aequ. eta 30. 50x + 31.50X + 31. SI =0
l
Itaque u
30. 5)
nam itaque aeqvalionem
quartam
vintardincidentiando cum prima
ns
im cum ida
Tavebitur valor
ipsius 30:3) ce coincidentiando a et 1.
40 = 10.30 et 41= 12.31. unde
fit: 10. 31130 + 12. 30:31 =Il quod rcvera
redit ad 10. 31
ure
e
-(. + (220. et pari
10. 50 sc = +12 =0. quo aequatione
SD
nihil differunta valis initio nisi quod vadex exfulla
multa abonoa
ula balsa in vepat
Emo hoc non provesi ad sublationem. Di lvci
omergo rectius multiplicatione consequemus
tam
si
40 X1
ce qu
4
iimultiplicetur per 50X+S1 et lag. 2 per
necesse est ambas fier
verte