# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0477 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0477?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 37, page id 797370323:0477 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=477 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000477.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine # Lines: 58 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. Rario CnaII estion. MMaII chrecs And l Pro- finice infinite Pro. and Unicu parto, 2= A (uct iple or ne Ot n8 aC et ies IC Set vins -OM Satural relision on in che Ratio OE 1 1O 2. VIZ. 1 8 + 16, ec. in infinitum = ∞ 2. 70u vould hare a Procrection, Wrhole sum chould be criple ot chis, rou will find iE 15 S 1 36-7- 216 25 125. dec. in infinitum = ∞ 6. IE vou mould trave a Series, Wrhose sum Chould be equal eo an infinice Number of Unicies, chen IS 5 = , - 7 = L = ∞ . 10 chac no such Ceometrical Progresion, Con Ficting ot an intinice Number olfinice Perms can, possibly be obrain d. 30 si 11 And universally, vou may find aGeome trical Series beginins ac any giren Onana riey, lels than the second Term OF che Ratio and havine che first Perm oF che Ratio e qual roche first Term ol che Series, a Pay, vou may chus find luch 2 Series, havins is sum in any siven proporrion eo any o cher Geometrical Progression alligned; and conlequendy ou may tind an intiniey oE Geometrical Serress, begimine ac differene tinice Duanciries, and havins differene Ra, tios all equal co one anorher. L ec p 75 and a Then SiF dadadd andr CCC: a H 1. d. in a 0o ud li it al Progrosron