# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0010 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0010?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 5v, page id 00068255:0010 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 6r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=10 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000010.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 78 lines, status machine # Lines: 78 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. Cb a C prostra a 005 (1( = 2 0611;2 = 100011 pro Cba 42) ti )O(2) (2). CE )12 E Odi( ter sed pro ternarios, et simiibus jimpopus est et oluc prius opus est additiones notarum definire. Sic bia et b est additio nota primae ad secundum cxb est additio secundae ad tertam Itaque inquirendum est an generali ratone consequi liceat, quid si nota datae sebis addatur alteri notae datae sedis Et primum videamus quid frat si nota sedis primae addatur ad notam sedis primae vel secundae, vel 3tiae, vel equartor, det si nota sidis primae addatur ad notum sedis primae idem star sidicator addi ad 0 vel 1 D vel 1 ) id est vel additur d ad 0 vel 1 ad 1 prodit sovel 1D seu 0 vel 0. si nota sedis primae addatur ad notam sedis secundae tunc ergo ovel o vel 1 vel in et fiet 0 vel c vel 1 vel (10 seu) o 0 vel 1 vel 0 vel 1 si nota sedis imae addatur ad notam sedis 3tiae fet tunc middetur 0 vel l vel o vel l vel 0 vel 1 vel 0 vel 1 et fit 0 vel 1 vel o vel l vel 1 vel 0 vel 1 vel. 0 Unde generaliter si ad notam sedis e addatur nota sedis paime daAta Enaande si nota sedis primae addatur ad notam sedis alferia, t nota puducta sol habebit casus, quot habet nota sedis ad datae, ex quibus priores diundis sunt notae sedis primae repetios quoties possunt posteriores diunc Unde jam generaliber hanc video regulam: snoca Sedis cujuscunque addenda sit ad aliam notam sedis altioris, eret nota producta tot habebit casus 10os nota sedis altioris, ex quibus dimidia pars ent (altera dimidia continebit notas sedi casas notae sedis propioris unitate auctos seu transuutatos, ex 1o in 1 et ex I in Z etd et Hc fit F+M= R 1C et f = n - m 3. + f = 2 = A-1 arepetitro notaruque sedis inferiaris Si tres notae addantur in unum A adeo si e = mpe e- mt L. D(2 et f= 1=n a peus et-1 in unum addenda O(2 e+f-1 efi se- . dO (21) O(2 ber (25. en seu addeno O(2 y fiet O(27) 1 (2 ma ese t ) d0 vel 0 vel ovelo vel 1 vel 1 vel 1 vel I et fit ovelretoveo veloto Hinc si tres notae inter se addendae, ut O(2)(2 addetur 000000DITHH =D(2 0011DOHLCOIIDOI= O27 oouooita pot elo