# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0416 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0416?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 208v, page id 00068195:0416 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 209r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=416 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000416.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine # Lines: 70 recognised, mean confidence 0.75 # 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. 12 lvallis procedit nesero qua methodo inductionis, in sua Arithimetica in finitorum, 5 520 4 9 10 25 +9. d7 36 36 36 4 49 qd 36 56 36 4g 4g 15 26s 101 4 1 1C 49, 1 49 784 +1 705 74 4 362 16 summa prima est quadro t mult quadr. (1. 5 quadr 2) + 1 quadr(7 quadr 3. Summa secunda est 35 16 576. 1 hoc sic ntimans dibebis ta in quadr. 1,) quadr(2, + 1. quadr. (3), + 1. m, quadret) +1. quad equadr (3) H quadr. (4) X4 =4 quad 11) + Pe quad 2) 5 quad (15 quad (2) 4 49 36 16 summa 2)a a5t 4 = 49 Etig 36 56 quad (1) + quad 2), uad 3, + quad s , quad (4) + quad 1) quad (2) quad 3) ( qu ad L. + quad ) 3 1) 1’ quad C1) + 1e quad (2) quad (3) n t y seguandtes quad (15 quad2) quad (3) quad (4). 41)40) - seu: quad co 3 (4 5 exc. + quad 3 3s 25, etc. + quad s, 3, 4 5 etc + quad 123, 5 etc. etc quad 122 3 45 etc. 234 ec + N 3 4 Ct, 22 45 ete etc. N. Nota autem nungo incluso, numerum non unitatu, sed temi norum seu xp 2223 4 et 12234 et 12273145 (1) Cd B) 1) numeratorum. Et idem est quandocunque nominatores sunt simus s unitates, quicunque sint fractionum Nomtnatores 5 60d 50 12 105 285+ 19b Ne in i 24 = 4 9 is etc. 3 + a ex = - 3 135 554 in 21o 4 12 in 290 - 3 + 1 i 3 tol. 13. Ere C - 2 72 2a 4 Ec 3ea 3 Z y icet nn ha 2aos A 32 32 240 2 32 en = 3 1400 2e