# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068200:0205 # Permalink to this reading: https://leibnizlegible.com/page/00068200:0205?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3) # Folio 102r, page id 00068200:0205 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 101v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068200&page=205 # Source image: https://digitale-sammlungen.gwlb.de/content/00068200/jpgs/default/00000205.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine # Lines: 75 recognised, mean confidence 0.87 # 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. est infunite parvum est infinite parvum es l. infia ti quod eadem redit quantilas communis aequalis infinitae in infinite parvam bipsae autem ildx utilater assumuntur non semper his suppositis in arbitrarie data ad eas destruendas expectabam (et necessariumq arbitiariis detini posse ambas ocerit tamen res reduci vel ad quadraturas, modo dicto, ubi licem vet sulte terminos e differeniae certo modo ad ad suppo tollendo literas pubi ne nissiae jam videa novum, ompendium si modo rollantur Termini in quibus in alienas summas du in alieras summas dicuntur cuntur differentiae, semper des reduci poterib ad aequationem communem per sumnando: modo sint tantum simplices differentiae in suas riteras earumque potenturas fuctae quid si vero sint literba ducta differentiarum quadrata ducta in suas sumas, ut dabiturne summa. Aio etiam sumima 2 d X dx dari, nam datu (NX x. Ergo et datur summa quadratarum ab Nac summa quid si quaeratur semper res reduci posse at ad dr2c dux aequ. 2 dx ddx videtur X dax u nam sed nihil hinc ducere licet. sed ita melius ponantur x progressionis geometricae erit eadem progressio summarm quam diffecentiarum, ergo nihil refert,t urcunque replicentur omnia, somperqus opinor dari potest quadratura ed quid si sice nt in inea siamum vel similibus. ut 1,2 2345,, 12B 4567 doy dq +y 1590. X sei ducta. quae tamen omnia facile procedant assumta certa unitare. quando sunt in aequatione Porro patet ex his, quod ax. dus. Et ad huoem yaepX. ∞X + X = X squale infinities infinite parvo in assignabile ducto, seu Ydx F y aequ. X y ax aeno-ddus + dax. rem absolvere vul nnalu 1ut c difficile uti satis y ax aequ dx + Vy dus patet non procedere methodum, uti nec debet is patet ex his etiam temper dari posse 2 e S. X ex , et similes, opc