# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/DE-611-HS-973086:0046 # Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-973086:0046?run=291 # Title: LBr. 330 · Grimaldi # Folio 23v, page id DE-611-HS-973086:0046 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 24r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-973086&page=46 # Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-973086/jpgs/default/00000046.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 291, 2026-09-10T20:27:13Z — 26 lines, status machine # Lines: 26 recognised, mean confidence 0.96 # 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. unitatem; Ubi I in loco primo a doxtris significat in secundo 2 sou latus, in tertio 4 seu quadratum latoris, in quarto 8 seu cubum, in quinto 1b seu biquadratum, in sexto 32 sore scrdesolidum, et ita ptorro: Hinc se quentia patent Primum omnes numeros soribi perse per et Secundo quomasmodum ossentiae rorum sunt ut numeri, ita et cre- ationem rerum a Deo ex nihilo factam repraesentare per expres. sionem numerorum opo solius Unitatis nullitati supervenientes Sertio hanc expressionem esse omnuum simplicissimam et maxime naturalem. Estenim progressio resuplicativa omnium prima ot facillima, quemadmodum et sectiom partes binas aequalos. cevarto in hac progressione nihil assumi sed omnia demonstrari Exempli causa intor calculandum ab omnibus assumitur quod et 2 sithitem quod tertria sint novem, huc ven de monstratur ut in exemplis asjectis patet. vinto in hac progressione non esse opes Tabula pythagorica vel vel alio quovis subsidio. Nempe tantum sein oportet ad multipsi: cansuem vel dividendum Oper O vel Oper 1. vel, per O multi- plicando fieri v; et 1 per 1 multiplicando fiero 1. dexto in drvisione secrendum hane progrestionem non esse oppus tentando quaerore quotientem. Septimo in hac progressione omnia resolvi ad prima usque princi qia, O et 1. Undo fit etiam ut in ea facilius appareant de monstrationes; ex quo soquitur etiam. Octavo hanc progrescionem maximi osse usus adinvonienda Theoremata rationesque eorum recdondas. Cui aude