# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0452 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0452?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 12, page id 797370323:0452 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=452 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000452.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine # Lines: 44 recognised, mean confidence 0.81 # 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. 12 Dhmotorhical veincivles ic, is che beginninq ot anocter, and (0 il must 00 on Wwichoue Bounds or Limics. Moreover, il che Extension oF che Univerle is finite only, chen a Sphere ot a Ainice Dia. meter, may be Found equal eo ie, For 2 Cube oF a finire Side, may be Tound equal 10 any Finite COnFeHE WtaLsOeVeK, 25 is WeIl known; and che Radius ot 2 Sphere equal eo this Cube, is che Produst ot ehe side ot the Cube mulciply d, inco che Cube ROOE OF2 paris ol cheratio oC che Radius eo che Circum. 10 e ference. Let u5 chen suppose che Whole A. nice Extension oE che Univerle, equal eo che phere, Sphere. ehe dect Froml ven Pon Ot vrbic Circle, 1 Wrtence tension W che Sect. a planC omly cOl erhich ct MZIM, Spbere ac ceptine c Bnice LX che Lixlet any hnice 15 eviden beginnii For wrtree Or nOE, ever bect AdmIIEin Y A, of. ea