# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068646:0101 # Permalink to this reading: https://leibnizlegible.com/page/00068646:0101?run=74 # Title: Leibniz-Handschriften zur Philosophie LH 4, 7B, 2 # Folio 51r, page id 00068646:0101 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 52v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068646&page=101 # Source image: https://digitale-sammlungen.gwlb.de/content/00068646/jpgs/default/00000101.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.88 # 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. idem un aliqua en eadem Si Reml ponitur et tollitm, detrahitur quicquid inde in alio constituitur coincidit Nihilo, ue du seup A dequotiet sunque ponitur) A quotisumque derregitur seu A CA A reb A4 A vel A+ A tA dic ec- as vel =AZA, vel A+A+A dic seu A+ A + A = A + A seu A+ A+ A eC - A + A + d ∞ Nih. Schol. hoc est A-A ∞ Nis. si non amplius ad sit A, vel in edem N de, qua agitur constituendae; vel A + A - A ∞ Nih, si bis absit in po toto posito et semel in toto detrahendo. vel A - A+ A ∞ Nih. si contra. Et ita porro propluribus A quia per si Ax. praeced. pro pluribus A unum poni ponest Atl coincidia expressigarura istituere explunibus ut pro prorlemmali eodem in ea posito et detracto, non liceat substituere pro Nich.l. Sia coincelentibus detrahantur coincidentia residua siuit coincidemtra AEB Si A ∞ et B∞ M erit L A - B∞ L- M. pata Nam A- B ∞ A-B C) (patet per ses et in postenori pro A substiluendo L et pro B substituendo B, (Px _C finitione coincidentium) fit c A- B ∞ L M Quod erat dem exit et cum Si A+ N - M= N ∞ P. sie A M ∞ P. modo N et A itemque N cum M sit incommunicans, ert A - M ∞ p Expressa ejusoem positio et detractio in aliquo con stituendo se mutuo destruunt, si nulla adsit tacita Nam N nihil commune habet cum Ai, tex hyp.) Ergo quicquid autem ipsiq d in A extra e it P nihil aliud extra N panitur quam A. Ergo quicquid extra N poni tacite debet in poni debet in A; ergo et qui si id quod est in N extra Ntacite ponntur in A pon debet, sed quod est contra Hyp. posnimus enim inpensationem voco, sial idemponitur et detraritur detantionam eamus expressam si expresse quod in alio contietu, tun exprimenta