# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068115:0002 # Permalink to this reading: https://leibnizlegible.com/page/00068115:0002?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 21 # Folio 1v, page id 00068115:0002 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 2r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068115&page=2 # Source image: https://digitale-sammlungen.gwlb.de/content/00068115/jpgs/default/00000002.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.93 # 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. quod hullum admitti posse demonstratio ostendo aste disita lit res quodammodus redeat ad id illud singulare. demonstrandi gemis cuiue exeupta passim extant ubi e, dea probamus ubi ex assumta iuaequa litate duarum quantitatum dorecte concludimus earum aequalitatem rectis si Theoremata desconvergen verificantur in parallelis tanquam specie converuentium uibi punctum concursus abest Sic le finte seu diserimem dlicimus per compendium erorem asse infinite parvam, cumque necli posse et ep etronsens i alumendo et tanquam quantitatem ad hibemus in calculo negligimusque comparatione erus cujus respectu est discrimem. Rrevna eatm semper ex infinit quoniam statum frdao e connexio sibi constaret ratiocinatio fit rigorosa, commutande indifinite parvum in definte parvam definite, sed assignata quantitate minus. Atque hoc est principium calculi differentialis, cum d dis coimina vel differentias assumimus incomparabilite mnores ipsis differentibus veriat et varius hac podibus ranos hic gradus agnoscimus constituentes quandam novi generis legem homo genectum Et prosunt hoec et hae quantitates indefinitae, (kam ad unibe seles opropositiones in ipsis definitis Omnia Ex. gr. Concipientes parala parvum; et it porr aliaque id genus. ubi uti data datorum unum in alterm ega reg itq et degula pro motu eodem asu evanescere debet cn regulam pro saite Ahoqu deple sut notornte ut Ellipsis cujus ulter focus infinite absit pristinis rei literariae Nsovellis. Conci– piendo aequale, ut inaequale evanesceas, evanescit, ut motus in quietem; ita quae demonstrantur de Elipsibus verificantur perto, modo _ in parabola, si concipiatur Hinc oritur Lex illa Continuitatis, cujus magnum etiam in physicis usum alio ostendi in aatiquis rei liter et motu quietem ut motum infinite e Parbola