# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068194:0374 # Permalink to this reading: https://leibnizlegible.com/page/00068194:0374?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1 # Folio 187v, page id 00068194:0374 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 186r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=374 # Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000374.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 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. aveda et ex hac unica consideratione oriuntur jam omnia artificio arithmeticae nulgaris et praecepta. quemadmodum enim si in unum addete debeamus. 295 7 et 1120 et 522 2999 ea sibi ordine subscribimus ut obtineamus 399u ita in literis, si in unum addere debeamus: 2e + 3C + se +), item V8 + 1e +2C+0 (sive omissis 1 et 0 Kacmodo e + C +2e) item 5e +2e +2, ea ita sibi subordinabimus: 20 +3e +5e + 7 e3 + e +2 e +5e +2 C+ 2 +3e +90 + 9e +9 Additionis autem et subtractionis, praecepta separatim care inutile est, si quis modo intelligat quae supra de signis eliximi alerumque enim solerit inter se invicen permisceri additio et subtractio, exempli gratia sit, formula 3e +9e 9e +9 cui a) dimi dlebeat ista 2C + ve - 9e +5 vel quod idem est mutatis signis, cui addi debeat ista : - 2e - ne + 9e - 16 Scribimus. +3e +.9e ge +9 -28 - 120 f 9e - 15. quorum sumimaerit AC = 3 e 4 = 6 Ubistellula significat lecuim vacuum Eadem ordinandi ratio observatur in formulis quae ex puris literis constant. Sit enim formula e’a + fea + 3ea+ f7. Hanc formulam possumus pluribus modis, orclinare, prout assumimus vel literam e vel literama, vel literaino, f, pro or dinandi fundtamento. Si sumamus literam a tunc formula ita stabit: fe _ + e a + 3ea + f assumta vero litera e, formula sie sabib: 3aC + a e + fae + f aosumta denique litera Sformula sic stabit: f X Y a’ ef + e a et nobandum quoit libet graclum literae quae ordinandi fundlamentum est +3e a vocuri ab... V solere, terminum, exempli gratia feae est terminus primus orclina C W ettabida B. 3 idem quod 3 mos( 2 et aa significabit 2 mose 2 sive 4 et tionis secunclum et ea secundlum eff. et f id est temminus in quo non amplius reperitir a, vocari solet ultimus. et termis nus iste nonnunguam componitur ex pluribus membris exempli gratia in ordine ultima ecundum f ibi terminus ultimus est +e a +3e’a, nel ut illic scripsi te a constatque huc termi +3 a nus ex duabus membris e’a et 30 a et utile est sibi invicem subscribi membra ejusdem termini, verbi gratia. s + as + ab s + abef X id est f + af + bf + abs + bbf + ab cf Nam hoc modo