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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 9, page id 1023099829:0059
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=59
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine
# Lines: 52 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.

RR ESOLV PFO.
ordinis numerici cuiusliberpropoliri, qui in dato nume-
rO contineatur.
Sit Datus numerus quilibet V. 5. 58, ordo vero nume-
rieus quicunque propositus verbi gratia Cextus. Oporret
igitur invenire radicem lexri ordinis numeri, 58
Exhibeatur ex cona s concinud Exponatur ex alte-
parte exponens ordi-
nis
ra parce numerus da-
I5,
Mulciplicetur ipse, 63 Ec concinud Mulriplicetur ipse nu-
pernumerum7, proxi-
memajorem sit que pro-
ductus,
e
2
merus per, 2, sitque
productus,
XX6
Mulciplicecuriste pro. Et concinud Mulciplicetur ipse
ductus per proxime se-
quentem multiplicato-
rem, 8, sitque produ-
Etus,
3
productus perproxime
sequentem mulriplica-
torem, 3, sit que produ-
etus.
34E
Mulcipliceturiste pro. Zc continud Mulciplicetur iste
ductus perproxime se-
quentem multiplicato-
rem. 9, sit que produ-
Etus,
3024
productus perproxime
sequentem multiplica-
torem, 4, sit que produ-
Etus.
1392.
Et sic in infinirum, donec olrimus productus exponen-
tis, 6, nempe, 302 4, major euadat quam oltimus pro-
ductus numeri dati nempe, 1392: Ft tunc absoluta est
operatio, oltimus enim mulciplicator dati numeri, nempe
4. est radix quae quaerebatur.
Pgicur Dico, numerum sexri ordinis cujus radix est, 4, HempC, 56, MaXI-
mum esse eius ordinis qui in numero daro conrineatur, seu Diconume
rum sexti ordinis cujus radix est, 4, nempe 56, non esse majorem dato
numero, 58. Numerum vero eiusdem ordinis proxime majorem seu
cuius radis est 5, netpe 126, esC majorem murvera dato, 58.