# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0377 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0377?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 189r, page id 00068194:0377 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 188v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=377 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000377.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.91 # 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. Utile est autem duas formulas in se invicem multiplicandas prius secundum unam eandemque literam ordinari, exempli gratii e’a -fea - 3e a + f per + e - 3e X - 6 utile erit priorem etiam ordinari secundume, hoc modo: 3a + a C - fa e + f multiplic: per . - - et = 3e X - 6 28 a - b a C +b fae- 6f 5 3 a C - 3aC 3 fa2. -9f. 3al. + a a + f. Decetero manifestum ett Eadem esse praecepta multiplicationis literalis, et numeralis, ut si sit 3+2 - 1 +2 - 3 - 2 +, 1 aequ. 2 multipliciper +3 = 1 +2 aequ. 4 +6 + 4 -2 e + 1 - 2 +3 + 2 - +9 + 6 + 3 + 6 - 9 - 6 +3 +9 +3 +1 +11 - 13 +1 - 1 - 5 +2 Ubi velim natari obiter modum destruendi quo hic usus sum Divisio etiam duplici ratione tieri aut sic um, tur per altuatem opera hocmodo: id est a divis. a + b diris. Per e + d velsic; esse f fiet a +0, idem quod F t et guntup 2. 2. 8. =. =. Nam id est in tres personas, quoties duao tertias thaleri, et si velr. porsonas, quaelibet persona Ra thalerum cum duat squintis. U clivisionis nihil referre utrum et tor sit major. Patet etium qu ut fractionem, cujus numerator es visor. Porro quemadmodum in Arithi simplicioribus terminis efferri tam numerator quam nominat. ita idem locum habet in Algebra 3, et c significet s tunc ab quod 15 et ab erit E jam ab bc Duetam numeratorem quam nomi E, id est loco Scribetur =