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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 15, page id 1023099829:0065
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=65
# Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000065.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.

SOriaronm LnteeS
rop.
Omnis productus a quorliber numeris concinuis ab vnitare
incipiencibus, est mulciplex producti à quorliber nume
ris continuis eriam ab ruicare incipiencibus quorum
mulcicudo minor est.
Sinc quoclibeenumeri concinui ab vnitate, 1, 2, 3, 4, 5, quorum pro-
ductus, 120, quorliber aurem ex iplis ab rnitare incipientes, 1, 2, 3, quo-
rum productus, 6, Dico, 120 essemulriplicem. 6.
Ecenim productus numerorum, 1, 2, 3, 4, 5, Ac ex producto nume.
rorum, 1, 2, 3, ulciplicaro per productum numerorum, 4, 5.
Prop. 5
Omnisproductus a quorliber numeris coneinuis est mulci-
Plex producti à quorliber numeris continuis ab vnitate
incipiencibus quorum mulcieudo minor est.
Ecenim productus conrinuorum quorumliber est mulciplex coridem
concinuorum ab rnicace incipiencium ex secunda, led ex quarta pro-
ductus continuorum ab rnicare est mulciplex producti conrinuorum ab
vnicare quorum multicudo minor est. Freo, _c.
ProP. 6.
Productus quortibet continuorum, est ad productum to-
cidem proxime maiorum, reminimus mulciplicatorum
ad maximum.
Sinc quorlibernumeri, 4, 5,6, 7, quorum productus 840; & coridem
proxime maiores 5, 6, 7, 8, quorum productus 1680. Dico, 840, esse ad
2680. VE 4, 2d 8.
Erenim productus numerorum, 4, 5, 6,7, est factus exproducto con-
cinuorum, 5, 6, 7. mulciplicato per, 4, productus vero concinuorum, 5,
6, 7,8, Factus est ex eodem producto continuorum, 5, 6, 7, ulciplicato
PeF, 8. FrBO, ec.
Minimus productus continuorum cuiusliber speciei, ille
est cuius inulciplicatores ab rnicare incipiune.
Y.3. minimus productus ex quaruor continuis factus, ille est qui pro-
ducitur ex quaruor his continuis, , 2, 3, 4, qui quidem mulciplicarores
2, 2, 3. 4 ab rricare incipiune. Hoc ex le dc ex pracedentibus parer.
7
Prop.