# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068001:0029
# Permalink to this reading: https://leibnizlegible.com/page/00068001:0029?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 4
# Folio 16r, page id 00068001:0029
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 15v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068001&page=29
# Source image: https://digitale-sammlungen.gwlb.de/content/00068001/jpgs/default/00000029.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 42 lines, status machine
# Lines: 42 recognised, mean confidence 0.88
# 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.

M+1. aequentur quibusdam productis propessionis binariae indefinitis. Deinde
duobus ex his productis multiplicat formando aliquem arbitrarium ipsias
 e+1 m+1 divisorem, qui scilicet est unus ex assumtis, vel qui ex hiis
componuntur is aequabitur g, vel pro g sumendo 1+7, haic
aequabitur cum 1+), et ita similiter pro n aequalis tandem
simnibus quaecunque manent pro arbitrio ea etiam assumere licebit
tadem Methodus pro dophanti problematibus. b.. cquaeruntur
duo cubi aequales uni, primum cubi latera cuborum assumantur
inde aequatio instituatur scimus
pro arbitiio, secundum b seu 2,
autem jum quad observandum pro (uibo in genere
ata ex primi potest ee
Ominis pumem gergliatite
M n 1
C a
posto a. b. c. d elesse prinitivis t numiu
e etc.  cujus partiam aliquotorum summa etiam generaliter
haberi potest, quam ita investigabimus.
a b
unetitudine
posterines pontium aliquotarum numerus eut
s. D.X
 numeri et sittrpi
Et ita paparet po
gio su infinitum
erit fg partium aliquotam numerus W aequ. F5 + gr + Ys. 
sint f.ge
et fgh partium aliquotarum numeras eut eaeque et +hW + WF seu fgt + fhs+ gurahrsatst
+sst + grt + rst
seu combinatio quaevis trium numerolum ducta in oonum aliquota multitudinem aliquotado
intertii plus combinatio quaevis multitudinum ducta in numerum tertiae, denique factum
ati
extribus anulsitudinibus in se invicem
sed
aequ fghD+KX +XB (. (co
fani partium aliquotarmu umerus erit e
fylvi s dKt eic. seuves unatignes tnumerum in multistudine gfi + omnes co
me
demqu
squatuo
3 multitudinum in multitudines duorius peliquorum plas omnes conbinationes
immelitudinum in numeruu tertiae.