# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068201:0305 # Permalink to this reading: https://leibnizlegible.com/page/00068201:0305?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 1 # Folio 153r, page id 00068201:0305 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068201&page=305 # Source image: https://digitale-sammlungen.gwlb.de/content/00068201/jpgs/default/00000305.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 75 lines, status machine # Lines: 75 recognised, mean confidence 0.79 # 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. aelm +Eln +, MN = 0 1+ 2 4 + 3 m IIEm + 12 l2 + 13nn = 0 ponantur Im = + n= g, mn- h. et inveniantu f, g. per magiam praecedealem siet deinnde II fErg t- (nah: M = g: l sic El= gm. Ergo ht- nf tan 1 rgo m = hl: 9. = f: l t un ma imp mup aB a +b X +2ab otLV +OE2M R 81 vc 020l +002 m2 F o1 lm + oiel + o0i m+ 0oo 120l +102 m 4 1(1) Im + 110l + 101 m + 100 quaeritur aequatio in qua sola supersit et pricmum quidem e dissimulato in collatum mm per modum paginae praecede lis, habebite 1. 1 OZI + oi m + 00 =,0 12m 4 11 M + 103 =0 perinde erit ac si essent tres eqe tales: 02 a + O1 M +, 003 rationes 12 a + 112 M + 103 (0 a mm 0 namex duubeus prioribus fiec: nam quia m 01 13 - 03. 11 e . qui 102. 13 + 63. 12 solum contigente substa luendo tantim apro 1O+, 02, 03 11, 12 1 as 02, 01,003, 12, (12, 10 2 - -01. 10 +00. 11 M O2. 10- 00. 12 eu (+ 02. 16 Im + Or. 10 M =0 = 00. 12 3 = 00. 112) itade jam hanc aequationem binando eum altarntra earum priorum datarum ut cum o2m +olim + 90 O habebimus rursus aequationem similem ipsi , O pro or. or, 30 02 O1 00 12 11 10 salstitue s at ho. +02. 10 401. 10 0 se 00. 12 =00.17 rursus L100, 01. 10 cut n= -003. 08. 112 - 00 02. 15. +00 003. 12 et fiet sed ita nihil egum modit eniu snor valor ipsius Ergo addendae in unur sia nova, conjungenda ipsi sequationes cel 2 a cobinana est cum ambab, singulatim ut duae prodeant aequationes