# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/DE-611-HS-973581:0118 # Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-973581:0118?run=317 # Title: LBr. 396 · Hermann # Folio 59v, page id DE-611-HS-973581:0118 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 60r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-973581&page=118 # Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-973581/jpgs/default/00000118.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 317, 2026-09-10T22:15:18Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.82 # 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. k AA on t ph m -1 + m-. R AR + pA + q 2 ec.- Aec _C. at =6 K K, X dc. aC = b Unde si in generali formula AX + H. Substituantur loco X, termini progressionii arithmelicu G, mutabantur illa in formulas columna H, divisor vevo foctas ax =b in formulas respectioas columna k exprebas. A deoque si proposito formula AX . divesilila sit per divisorem aliquem ut ax =b, Lune omnes ternuini co. lumna s dicisibiles erunt per suum quique respondentem terminum columne Divisorem ax =b fictum nomino quia suppono nondum constare, quid pro a et b po- ni debeat ut divisio succedat: Termini Fcolumná l respondentere regione foomu lis columnn de divisores sunt formularum respectivnrum Lujus columna He, loc est eet m -1 P, e divisoree sant formula Af pf c. et hic in reloquis. Duibus xositei sequitur (1) Duod cum termini seriei G progressionem arithuet. descendentem, si placet, consliruant, series de similiter progresi. avite metica efficiat cujus differentia sue diffeventia progresiiones G per a seu devisorem aliquem ipruu A multiplicata (2) se inter divisores columna s q sine termini ut C V, seu e. v. Quil quavis alia ratione sumti, qui desendendo progressionem avithmeticum compo nant ujus differentia sit aqualii diffeventia seriei G per divisorem quenoin a coefficientis, et altisimi in formula termine multiplicata; res pondebunt vel Bosito quod aquales erunt ille termine, terminis seviei le et mogressio tum divisoru columna 1, quam terminoru seriei G in infinitum abeat; nem pe eo cche e vdl ec repondebit af = b, V, Y qn ag = b et sic porro; vel notitis ut (3). 8=1, G = 0, et L = - 1 neglectis reliquis e, termini at Lb, ag +b ah =bX Degenerabunt in a = b, +6 et - a = b qui proinde in Loc suppositione repondebunt devisoribus seviei F) quibui ille af + b e un respondeve eliximus. Aeque itacinvinitur b cum suossigntse sed habetur etia valores a; unde habebutur elivisor vel divisores fent audi, cum quibus si est nula demonstratione opui aabet. 2 ag =d 1et pg B