# 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 45, page id 1023099829:0095
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=95
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.

MIVETTPETOTONS.
Ex 60 aufero7 quories porest, luperest 4 _ pono sub 5,
Ex 40 autero 7 quories pores, superess et pono lub 6,
Fx 50 autero 7 quories porest, Luperest L ec pono (ub 7,
Ex 10 aufero7 quories porest, et redic 3 X pono (ub 8,
Ex 30, aufero7 quories porest, et redie 2 e pono (ub 9,
EF SC redic serieS nUMCTOTUI, 1, 3, 2, 6, 4,5, in infinicum. est period, decimalis
Jam proxonarur numerus quiliber, 287542 178,
De quo quaritur verum exacte dividatur per 7
hoc lc agnolcecur.
Sumarur semel eius character qui primus est a dexera ad sinistrant
nempe 8 primo enim numero seriei continua subiacet vnitas
Ouare ponatur ille, 8, primus character semel
Sccundus, qui est 7, ter lumarur, scu per z mulciplicerur,
Secundo enim numero seriei subiacet 3, lrque productus
Terrius bis lUMaEUE, Subiacet enim 2 ipsi 3, quare
cerrius character qui est x per 2 mulciplicarus sic
Ouarrus eadem rarione per 6 mulciplicatus
Ouincus per 4 mulciplicarus
Sexrus per s mulciplicatus
Seprimus semel, septimo enim subiacet I
Octauus, ter Tumpeus
Nonus bis sumpeus
EEsic deinceps G Supereltene. Tungantur hi numeri
Si ipseasgregacus, irg, est mulciplex ip hus7, numerus quoque p1o-
Poticus, 28754. 2178, ciuldem 7, mulciplex erie.
Porest aurem dignosci eadem merhodo, verum ip se rr9 sic mulciplex
Ccilicer, Cumendo senel primum characterem
Secundum characterem rdx
de praecedenrem bis
Si enim summa r4 est mulciplex7 eric e 119 eiuldem mulciplex
Sed _ li, curiolicare porius quam necessirare mori, relimus agnol-
cere verum T4 Sicmulciplex7 Cumatur character vlrimus Cemet
d pracedens Ter
4.
Si lumma est mulciplex ipsius 7 erir e 14 mulriplex 7, quare et 14, et
179, eC, 287542 178.
 Is agnolcere quinam numeri dividaneur per 6.
Scripris, re laepius dictum est, numeris nacuralibUS 1, 2, 3, 4, 5, dc.
S 2 Tub, r, Polico
_c. 4 32
etc. 4 4 4 1
sesiduorum
1
fidui
qu. 014285714
251
dete. sunt minores