# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0073
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0073?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 37r, page id 00068194:0073
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=73
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000073.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 recognised, mean confidence 0.95
# 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.

ridit
Aequationes plurium
incognitarum ad series
infinitas reducere sine
revocatione ad unam
si sit equatia, ut ....
a + by + cx + dxy + ex + fiyt eto po
ea ita exaltetur uf continue
altiores ipsius tam ipsius x quam
ipsius y potestates destruantur,
ilemque rectangala. Multipliando
semper per Ex + my ut altiores
nausiscamur aequationes quibus inferio
res potestates tollentur. Tollendia
erunt et rectangula. Si
jan plure datae sint aequativiles
ad unam incognitam, etiam plures
ccujusmodi series habebimus; et harum
ope habebitur utique valor tam ipsius
x quam ipsiusy Etsi sola
rectangula resritissert, tamem
peo ut xy. Xy7. tamen et ipsa
sic potuissent tolli
adroseit impossibilitas valoris aequationis
cognosci poterit
si non potest series
 continnari in infinitum. Quomodo plures
radices a se invicem distinque my2
verte: 33