# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0071 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0071?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 36r, page id 00068255:0071 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 35v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=71 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000071.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 96 lines, status machine # Lines: 96 recognised, mean confidence 0.73 # 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. Rem ergo ab initio ex hibebimus sed implicite siG rabt ta Lrabch a exabtrocant p (btab 20d.) (-25.14 1 chabe lecbe eat =Eabet +hC; eht (2 ral -2abl challu loralat u raon tabh- 2abch M t Gb+ an - rabh. 592 e obla 13 87 Ah e 86 18 (et hithatt lo rabt Sed haec meditanti compendium incidit insigne, ut nulla sit nova opus regula pro subtractionibus. Nam et in decimalibus est observa tum pro subtractione ad numeroe dat, adhiberi posse supplementum oc Numeri Numer dati priontnumerum supplementatem complemantatem, otfet id est qui superest si datus subtrahatur a 99499 erc. totidem notarum. Ita dat 87 = 135 - 48 = 6. 999 - (199- 135) + 48) 18 = 135 -7117, 864 + 117 = 981 999 - 981 = 18. idem locum habet in la lefial idem locum habet in diadicis. Itaque sit ipsius a complementilis a, ipsius b complementalis B, et ipsius c complementalis); et ipsius i conslementalis est 0. ubi et Bl= 1 - b et V = 1 - c, cemple compendii causa exprimi unaiera, itaque perinde V B sta notandum se X = 1- a esse ac si frat oportent facere. +ha β ap hae =it est Ergo fiet nem sbi ee 999 - 135 = 864 364 +48 = 912. 997 92 + 1 +C ha +hia 1a trtu ihal (X7 2(+C hi id a β- 12 et etia tta +h 1n L I + 1 si fui sset, set figura adjecta patet ce -b prodiisset ha estndo complem entorum idem intum proderet hac quod an ut in ia Aa aeita +ho +ha 2h habe jesth a +hrha har trhab Hac ergo methodus datur regula subtractionis in infinitus ex sola regula additionis. hab Fssa it