# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1023099829:0089
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# Title: [Traite Du Triangle Arithmetique, Avec Quelques Autres Petits Traitez Sur La mesme Matiere] Traité Dv Triangle Arithmetiqve, Avec Qvelqves Avtres Petits Traitez Svr La mesme Matiere (shelfmark Nm-A 605)
# Folio 39, page id 1023099829:0089
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=89
# Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000089.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.92
# 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.

OY M M R.
Sic ergo peceutints
cem chunctalso d scheralis conttructio
duia L vocscabii.
Atis quorcunque ueris, in qualiber progrectione
his teethicum lumence, invenire summam
Guaturuo pereltacum coru.
Exponatur binomium, cuius primum nomen sit a, al-
terum vero sie numerus qui differentia progressionis est, (s
constituatur hoc binomium in sradu qui proxime lupe-
ror est gradui proposito. e in expositione potestatis eius
nocentur coefficientes quos a sortitur in sinculis cra-
dibus.
Constituatur e in eodem oradu luperiori numerus
Qui in eadem procressione proposita proxime lequieur
vleimum proeressionis terminum propositum. Et ab eo
auterantur haec.
Primo, primus terminus procressionis datus, seu mi-
nimus numerus datorum in eodem luperiori oradu con-
Sticutus.
Sccundo, numerus qui differentia est progressionis
in eodem luperiori oradu constitutus, ac tories sumpeus
quoc sunt termini dati.
Tercio, auferantur linguli numeri dati, in lingulis
radibus proposico gradui interioribus constituti, ac in
rnoquoque gradu multiplicati per jam nocaros cocsi-
CICnTeS quos A sortitur in isdem gradibus in expositio
nehuius Luperioris gradus binomii primo assumpti.
Reliquum est multiplex summae quaesita, eamque co-
ries continet quories coefficiens quem A in gradu prO
Dolico sorcitur continet vnitatem.