# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0093 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0093?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 47r, page id 00068255:0093 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=93 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000093.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 63 lines, status machine # Lines: 63 recognised, mean confidence 0.86 # 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. OEEEML etC equ. 3 OIIIIII eres aequ. 1. in cgressione scilicet dyadica multiplicetur per 10 seu per 2 fiet: 1 aequ 0. 11I11II et. 2 aequoDMIIe 3 aequ 101111n eu. 4 aequ 11. roIeu. a b c d e fg a b c d e f aa ab ac ad ab bb bc ac bc bb +2ad 2 bd aa teal a a + 2ab. + bb aequ da aa 2ab12kc +2bc +2aC +. 1 + CC Collationes speciales. Ergo b 11. sed sub 2ab erit 0. ergo non succedit. a a + 2ab + ZaC + 2b c. + CC quia 2bc p0. et bb on s1d, 1 si Bp 1. et Cp, 1. et ap erit absurdum. Ergo si bp 1. et Cri1 tru non potest ex rac + bb finit 1. fieri A. nisi sit ario. Ergo a bc erit 011 +2cd si dpo. fiet C7 1. sed tunc non potest esse 2bc +2ad 1. Ergo dH 1 si esto non Ergo c H erit b10. alioque 2bd +cC aequ5 . bp 0. etiam ec +1. non potest esse 1. itaque ne pares impossibililis oMMI et l 2cd +2bf etc C codlatio generalis 2ce dd s. 2 et aa + 2ab + bb fiet ab aequ11 aa + 2 ab = 2aC + 2bC + EB2 bb +24d x c ad Lab + 2ac +2bC fier: esse 2bd CC 1. jam C et drj 1. nnon potest esse aequ. 1.