# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068115:0003 # Permalink to this reading: https://leibnizlegible.com/page/00068115:0003?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 21 # Folio 2r, page id 00068115:0003 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068115&page=3 # Source image: https://digitale-sammlungen.gwlb.de/content/00068115/jpgs/default/00000003.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 48 lines, status machine # Lines: 48 recognised, mean confidence 0.92 # 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. Iaq adarando anturae artificio ubiue fit, ut omnia ita procedanti in ratiocinando tanquam hoec quantitates essent quam maxime reales. Neque ali aliter recum eatm semper ex infinit quoniam statum frdao e connexio sibi constaret quod affinet ad nonvullas difficultates ex serdebus, dico non propue opponi i niuilum infinito, sed ninisum ouni at infinito opponi infinite parvam. itaque = infinitu, non est vera propositio, nis o significet, bineot quantit numerum et infinite aa = f. erit f ax panum ut si dicerem a tunc uulitas infinities im a quantitas ordinaria ess media proportionalis inter in definit infinitam f D et infinite parvam eX Hinc non est pulandum 2bis 0 esse aliud Hinc quam 0. sed uti quosdam ingenio sissimos viros plutuere accepi, dum scilicet infinite paroum cum ninlo quodam modo confundunt. ita resaon Hac ineviet o sequenti In quait In cum serres infinitae divisione dificurate vel Extractione aut aliis modis investigantur, vis ventatis in eo consistit, ut ostendatur discrimen esse minus quavis quantitate At id est ut ostendatur Nempe si quis dicer eiscrimen esse inter circulum, de hanc quantitatem + 1 - 1 + = L ek posito quadrato diametri 1) ostendum id minus esse discrimen esse c ejus a me inventam 1- a nullum, seu minus eo quod quis potest assignare. Assignetur Nam quia in se hac sere ut cun pront progrediare enom semper ic abicunque sistas progrediendo, error semper minor ostendi pt proxime sequente faactione, ea vero si satis progrediare minor est data quanis quanitate infinitis, parrum, qui scilicet rejiculus est tan quam ipsi o sulcedine abjici potest, per rationes supra dictas