# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067992:0032 # Permalink to this reading: https://leibnizlegible.com/page/00067992:0032?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30 # Folio 16v, page id 00067992:0032 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 13r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=32 # Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000032.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.91 # 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. famen pondera n ée quatuor dimensionum. Quoed etiam si impetus, motus, vires horumque varios eradus aut varias speorei adjunoamus porsunt dimensiones mulhiplicari in infinitum. s Habemus eroo recranouta haec: birectanou lum ab trnectanoutum a b0, quadrirebtan vulum abcd et ita porro. eedem exprimi porsunt per combinaioes. Xam ab est binio duorum, abc e, t bernio trium ab abc d, ert quaternio quatuor talium: quaequidem combi patio cum numerus combinandorum concidit cum exponente combinationis non nisi unica est Alia reram sunt plures, exempli causa. nemper p es i ererum. mones tresi ab, ac, bc. quatuor, a, b, c, d, sunt bi crescit) velut +B+C, 2DZC, 3D3C, 4 4C, generali appellatione sex nempe niones ab, ac, ad, bc bd, ed; terniones quabuor ab0 abd, acd, bed sed de pis suo l0co simplices Cum vero potentiae mt formae ex lisdem sive a. Si qualibet haru iDiC, D2C, 3D3C, 4D4C qualibus invicem duetis et rectanoula seu vocetur vsuma veu sid et iet combinationes simplices sint formae et diversis id est 434C, a mep compendium vocabitur se. invicem duotis; supere jam ut eas formas seu comHinc patet ut reciprocae sunt additio & subtractio binationes spectemus in quibus partum sunt eaedem literae partim diversae, quas compositas vocarelicet. C ha quidem formae variant, progradibuo: in pri mo s eradu nihil aliud habenus quam unam sor man, a vel b etc On secunda eradu sunt Formae dua: formundo quadratum et binio seu birectanbulum aa e ab formae 1e dn tertio gradu sunt sormande a ab, abc nempe