# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0471 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0471?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 31, page id 797370323:0471 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=471 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000471.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 69 lines, status machine # Lines: 69 recognised, mean confidence 0.69 # 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. e 3H, equel insipile iflerence, en giveu, ortere il 15O (by che add LdESA infiniceli Or 17 0 20 am ot 2II COpOrcIO. e infinitelr Arichme. DIA = ∞ B 1tB niotic be lion, We L∞) 3- H 2 by de Baturai By che Rules OF Addition) and the infinicelu simall equal Pare oE sucti a Sut, OF ∞ 1 1 s ∞ 2 C= c norio a3ge Lsc 2 asdet t 29, SI XIII. In 2 Geometrical Progrection concinued, lec che Rrft Term be calld a, che last V, ehie Racio OF che TerIS r EO S and cheir Sum y, chen y = r a c 5v 0. Where it ehe frst Term be ∞, che lasE o, y bc. Cornes r ∞ For Lxample, lec r eos be 252 Eo 1, then a Ceometrical Series continued, Be- oinnins ac ∞o e, and ending ac 0, and g0. inis on ae luch arate, vix. che Series ∞ f p ∞ X 8, _c. in infinitum, usque ad 0. ∞ 2 = ∞ 2. Or che infinitely CmalL equal pare oF Such a Progreltion i5 2. And univerlally, it ic be required eo tind ehie intinicely lmaIl equal part ot SucHPrO. BTelONS, lec chac pare be called is che co et 1e co n and consequency v L CY cheRules oE Divisions, 195 bC25 2 c0 1, chen x ∞ p ∞ 5 EY 2. HF io