# Leibniz Legible — https://leibnizlegible.com
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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 48, page id 1023099829:0098
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=98
# Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000098.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 29 lines, status machine
# Lines: 29 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.

48
DE NDMERES AIVETEDETCTONS.
Si enim in hac duodenaria progrestione, proponieur agnolcere aM
numerus dividarur per 9.
Insticuemus ve ancea numeros naturali ferie Continuos L, 2, 3, 4, 5,
dec. _ F (ub L POlItO
2
d 3
Ex vnitare jam duo decies Cumpra Peu ex 20, (qui jam potest duo-
aecim; non aurem aecem) auterendo o quantum porest, superest 3.
quem pono (ub 2.
Ex 30, (qui jam porest trisinta sex scilicer ter duodecim) auter 9
quancum porest, ex superest nihil, continerur enim g quarer exacté in
triginta sex; ponoisitur, o, Tub, 3.
Exideo, zero sub reliquis characteribus conringer.
Vnde colligo, omnes numeros, quorum vlcimus character lemel
suPEUS, penuleiuS VeTO teE, (de caeteris non curo quales sint zero
enim sortiuntur) efticiume numerum divisibilem per 9, dividi quoque
per 9, in duodenaria prooressione.
Sic in hac progrestione duodenaria omnes numeri quorum linguli
characteres simul Cumpei efficiune numerum dinisibilem pex ET, CUHE
e divilibiles per cumdem.
N nosra vero progrectione denaria, contingit omnes numeros di-
Luisibiles per ir, ica le habere, re vleimus semel Cumprus, penulci-
mus decies, praecedens lemel, prxcedens decies, praecedens lemel, prX-
cedens decies, et sc in intinitum, contlare numerum mulciplicem Ir.
Haec  alia facilistudio, ex ista methodo quisque collicet: Teti-
simus quidem quoniam intencata placent, relinquimus verone nimia
perscrutatio raedium pariat.