# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068241:0071 # Permalink to this reading: https://leibnizlegible.com/page/00068241:0071?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 A 28 # Folio 36r, page id 00068241:0071 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 33v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068241&page=71 # Source image: https://digitale-sammlungen.gwlb.de/content/00068241/jpgs/default/00000071.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 100 lines, status machine # Lines: 100 recognised, mean confidence 0.78 # 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. od erembi. 167d In praecedenti divisimus per aequationem sim plicem seu infimigradus, et constans dividendi compendium reperimus, hunc et dividamus per X+ bX +CX + d +X X + pX +4) X = pX = gX = b X - bpX - bg bptx +piX +poX eotio retur n +ba progredi possumus udt .CX, (pX C9 Y pro 4 etsi et si adjectus Y tunc adjctef e ddotu n bo X +pX +9 + p uraq ita norvat e +b- p ApX +p X+p9 X +pX aq X - pX -9 sultima aquationem compossitar. secundi gradus: =X A - pX - 9 X + penultiB bX Dividendi compendia X + bX + c + _1 X + pX +q L L Divicendus: X + bX +C divisor: X +pX +q quotiens. 1. Residuus: + b X +C =1 (2+ Dividendus X+bX + CX +d LC) avisor X +pX+q expressa scheda htia X = bX + CK+dX + e s quotiens pi X +b Residuus: +pV +d t∞R F +p4 -b tit B. dinsas b.1. c.2 P.Z utile pro literis non numeros adhibere Dividendus: Xebxtxt divisor: X +pxtq sustrens X+bX+C e c-g- bp +p sianus:p Sequitur. ita formatur primus +bp terminus residui. secundu terminus residu eodem moda fonmntet ex trominis quotientis mutritis scilicet signis, s quotientis in prino residni u cp +pa a + bpes ie diasn u bBX +BB B.9. r. eke. mulciplicati, in secmudia dresidui multu eantur per g.r. siliet naminum sejam per c e+ Ermia et uts exhause Radditur sequem ior nitea disidene quotientis semper vatur CX, is autem g. diferentia exponentium summorum terminorum, dividentis et dividendi vato jam primo odditur sequenties per agnim inventam. Primu autem cognitu quantitas intelli a esse unitas. Termin in ResiduO fer formuntur ut termini quotientis um residuus est terminus cuius exnonens o-ia, o- 2. etc.) primus Residui terminus fere for niturnt sequens quotientis deberet formari si is qui in eo ultimus est, ultimque non esset Nm ulsimus quotientis forultipicatur per secundum divicorit ielum ita porror penultimms quorientis per terrium divisoris etita pono signa et sin poricedenti termine residm +4X a quX +42 hoc tantum disemmine quodtermini p auta qu entus uttimo depidendi, ultimo quotientis addituma semper ut dixi mutatis. His exhaustis aoditur ille terminus dividendi. quiterimi