# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068198:0414 # Permalink to this reading: https://leibnizlegible.com/page/00068198:0414?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b # Folio 207v, page id 00068198:0414 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068198&page=414 # Source image: https://digitale-sammlungen.gwlb.de/content/00068198/jpgs/default/00000414.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 109 lines, status machine # Lines: 109 recognised, mean confidence 0.75 # 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. expt exprimendus pe abscssse non est ratiogalis inteqr res huignodi 9. erespectu absclsse, seu non habet abscissam extra pinculum de nontaaloe differentiationes pro procedunt Modus aatem u e int infinitum aticurus dis in elementa sem ordinatarum adu exhibendi pe differentias pinni senadma rias ectas in assignabilesum a me sostensus hrcaluodi calcula dflerentiari oppositas hoc unico ictu abscindi, nullamque actoqu in hris aAis octob. 1684 cum plima huius calculi elementa fradid es difficultates quae huic una a vinculo et nominalore liberam. ganimd. Nempe intriciatur Tabula ad pay. AX abi dx aelementum abscissa A reprae sentando per rectam constantem pro arbitio assum tam Tantum quaerenda est recta quae si ad dx t assi ax Vordinata a siguatam, et Leseu y est e s mentionem Cinfiaate pago orum PXD u inte interceptam in axe inter tangentem et ordinatam. Ubi corrigendus ad es eriod quid alic nescio qua negligentia irrepsit (ut ut pro XD,A F AD, RBo XC, AL quae poni dehebant inter ceptis apis portionibus axis, poteret deponerentur Yqu VB WC, L sed dtantum quantitatum assignabilium gidica me ilia E portionex + tangentis. Hoc aatem correcto consicterato e ut nulis ad. ut totus calculus differentia s scruppli suntte site bitaren despossit accip de quantitatibus ordinariis intollica peit pe nam dx, dy etc ahibebuntur per ordinarias s factam ubse,ut tolluntur omnes difficultateo cirea infinite paroiis uc cujuscunque gradus, et efficere possumus, ctas endemq mefhodo ddx, et adque siminter ipsama LC et ab loc s ax d (jam om ordinariarum) differentiae similiter per ordinarias on d erigo tame inveni– exhibebuntur: dpa Eaque ex prasione ratio endi ab infinite parbis recte pefetur. Ieaque si vol ipsa initia a me 1 publicata satis imoditatus fuisset, Cl. Nieuventiit vidisset omnes difficultates de realitate infinite parbiorum hoc idtu simx mes ex p. 4 a or 2 e st le x p at E e e itar pavonenter pras irrectio a1b haberi posit emm ien e c la