# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0475 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0475?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 35, page id 797370323:0475 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=475 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000475.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.80 # 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. siven, l; vou Series quied avine equal, cedin eten 9 275 eretore, Ratio, 25 bon deen 27X3 eo find Duar. Ratio S, em aM ortiose 2 chac PexIS, OF DE satural Delisio erdumhers, jon d by che, hign 15 alue may be equal 10 2; For chen, per- Formine che Division, accordins coche Dritbmetick ot Cossick Quancicies, We MalI have che deries sPouetie; ctus 8 10 = a9=5F15 -63 de C. = 2. The Reason Why aIl chele Seriess consitins et Perms lo difterene are ac laB aII egual co onc, anocher, A2II bc acerrards TheMm. 213 S XIV. Suppose che last Perm oF 2 cominued Ceometrical Progrettion insinile, ehe tirst finice, chen x Or che infinitely (malI equst pare ot che sum oE such a Progre(- Gon, Chall be (by che Mechod ulcd in che precedins Arricte) tor Lxemple, Let rhe ErA Perm be i, chelast ∞, the Ratio ot hoTerms 2 r0 3. che infinitely equal small Pare, otche sum ol che Proprettion. ChoII bc. 2Or ehis Progrettion reducd to its estiralene, in equal pares Mall be 2. 1 3 SstdE 2 dc. in infunicum. Again, lec chc CC2 11 BiA