# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0448 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0448?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 8, page id 797370323:0448 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=448 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000448.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.83 # 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. Baotorbical Principles finite Number hou Cireat loever, ol onc or more unices, we haIl ac last obtain a re mainder, equal co any finire Number, how Imall loerer, lo by such a Subtraction per- peruated in infinitum, wre Chould obtain a o Number, (maller chen any finite PTumber, hov Imall Coever, i. e. an infinitely Im a I NTumber. And because Division is only a perpetual Suberaction oFluch aPTumber, lo many cimes as che Divilor implies, cheretore, wrhacerer may be obrained in chis Case by Subera crion, may be allo had by Dirision. BuE here ic is eo bc oblerv’d, chac che whole Force ochis manner ot generarins an infi. nitely oreat or (mall Number, lies in che in. finitely perpecuared arichmerical Operacions, e upon tinice siven Tumbers; noc chac chele Lac Operacions, in any tinice cime, can aerually gae compleac or exhibie chie infinite Number re- ne quired. Buc chacchele coninued in infini. cum, vould ac last exhibie chem, it lucha chins vere co be obrain d. (91 1 cradicrie 25 tor boch leC nerarine erhlcam maII O ever BaS ction ic Number Eo iclelF, and aBaI1 guencly Chould90 icselt, in chele, Wo day finice. dn infinite cixly 2 Nu Sain, and cradiction atcer an al Plicarions NelE, Ox