# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1023099829:0090 # Permalink to this reading: https://leibnizlegible.com/page/1023099829:0090?run=74 # 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 40, page id 1023099829:0090 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1023099829&page=90 # Source image: https://digitale-sammlungen.gwlb.de/content/1023099829/jpgs/default/00000090.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.93 # 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. POTESTRZVM NINMERLCARBM Monitum. Praxes jam parriculares sibi quisque pro genio suppedicabie, verbi gracia. Si quaeris summam quorlibet numerorum prorrectionis nacu- xalis a quoliber inchoanris hic, ex methodo generali, elicierur Canono In procrestione naturali à quouis numero inchoanre, dif- Ferentia inter quadracum minimi termini e quadrarum numeri quiproxime major est vlcimo termino, minura numero qui exponic mulcicudinem, dupla est asgresati ex omnibus. Sint quodliber numeri nacurali progressione continui, guorum pri- mus sic ad libitum, v. 8. guatuor ilti 5, 6, 7, 8. Dico. 92- 52- 4 xquari 5 F 9 + 7 + 8. Similes canones de reliquarum porestarum summis inveniendis de reliquis progrestionibus Facile apcabuneur, quos quilque libi com- PaTeT. Conclusio. Ouantum haec noricia ad spariorum curuilineorum dimensiones con- Ferac, Caris norune qui in indimisibilium doctrina rantispet versari SunE. Omnes enim omnium generum P’arabola illico quadrantur, e alia in- numera Facillime menluraneur. Si ergo illa, qua hacmethodo in numeris reperimus, ad quantira- cem concinuam applicare liber, hi poltune incticui canones. Canones ad naturalem progressionem, quae ab unitate sumit exordium. Sumnia sea Cicaa quadrarum maximae, ve 1ad 2 Summa quadracorum est ad cubum maximae ve + ad 3 Summa cuborum estad 4 gradum maxima ve 1ad4. Canon generalis ad procressionem naturalem quae ab onitate sumii exordium. Summa omnium in quoliber gradu, est ad maximam in prexime superiori gradu, re ruicas, ad exponentem su- Perioris gradus. Nom ab secesco elan GuaCLoCsnon c, haCobIlet AOcal, reliqua