# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068196:0554 # Permalink to this reading: https://leibnizlegible.com/page/00068196:0554?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1 # Folio 279v, page id 00068196:0554 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 278r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=554 # Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000554.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine # Lines: 25 recognised, mean confidence 0.81 # 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. infinita sit aequatio Ca aequalt +mt+ nt + p +9F etc. Et sit alda aequatio finita quidem, sed indefinita: 1, At + 12 1 + 13 l e t+ 5 t aequ. 20a+2 1t + 22 Y + 10t + 20 t + 30 + + 40 f +50 t aqu ora + opta + 21 ta + 31 t a + 41 t a +51 t a et Hom on t op t4 01t +0r a + uta 122ta +3 a 142t a +52t a t + o3a + uta + 23 Fa rtatas qan +04 tod vam tian a Eth e sa +04H 104 im ide u crpragta o+a =IEta +a tAC a + 44t a + 54 t a etc. L es a +sta +25Pa +3slatat estâ -04a - 14ta 24l a- (5a - 44 a - 4l a eu Tollenda jam est a ex aequ. 2. ope aequ. 1. multiplicando eam per fant altiore aequationis 2. et cum ipsa a coefficientes ut ita partes altiores partium continue; reducantur ad inferiores: ita exempli causa C sustulimus et omnes ejus terminos neduximus ad terminos comphehensos in D. Nam ex. 90 20a 404ha +04lLa +04mt a + 04nta +04 pt a+02 qt a est oq. 8. Hoc modo Eodem modo omnes termini in quibus a reducentur ad terminos in quibus solum a. Et hi denique ad eosi in quibus solum a. quod denique omnino tolletu Hac methodo tollendi evicatur Substitutio potentiarum, et hoc habet commodi, quod in puris et affectis est facilis.