# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0484 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0484?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 44, page id 797370323:0484 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=484 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000484.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.77 # 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. 44 Dhnotorhical princivlee siven infinite Space = 1 p1 +2.+V + 1, ec. and lec ic be required eo find anocher infinice Space, whole equal pares may be eriple oE chis, chenn = 2 and (0 che Equation will bC y 3 X23 and 2 ParE OE che infinite Space ic selF = 3 = 3 -F 3 + 3, ec. in infinitum. No, because, lome ot chele Inferences, may appear a licele odd, and perhapstalle, co lome People, to lare the erouble ol Ani madversions (it ic be possible) L Mall here obriace lome Objections, chac mighe be madeagainstchem; and 1. IF ic be objecte ed, chac oF an srithmetical, oe Ceometricale Pioorestion, ascendins, or descendins, inc infinitum e0 ∞ Or 0. il is impolsible, che Sums Chould be equal, eo an infinite Pumber ol equal pares, For since aIlthen PATES are supposd eo bc unequal, ochec Sumis cannoc De equal; che Pame Objectiomi caties place in Geometrical Prooreltions, 231 icendins or descendinq eo co orio; cwvholet Perins hare disterent RatioS, enduwhiche besin dc differene siren Guanciries, and yer cheir cle Sun ut 10 io cts dC ∞ t2 che Num ∞1. 1 COncinuce dFds becet dun et ∞1, Ce otsu Since au e are unces have non luppeou ustebentia tde infinite, De TICo aScWC Leoretan. iScar infinie dee