# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0476 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0476?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 36, page id 797370323:0476 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=476 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000476.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine # Lines: 47 recognised, mean confidence 0.78 # 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. 6 Dhnotorhiear princivles Arst Perm be i, che che last c0 ehie Rario OF The TermS 1, eO 2, che infinitelus SinaII equal pare, ot the sum ot such a Progretion. MalI bC Z. Or the Progression ic PeiF, MMaII be equal eo an infinice Number oF chrees P 3. F3 + 3, dc. in infinicum. And ehus e may reduce any Geometrical Pro prettion ascendine. begininz ae a finice Duanciry, and endins ac ∞, 10 an infinite Dlumiber ot equal pares. IF ic be delir d eo tind a Ceometrical Pro. prestion, wrhich beginins ac Uniey, and havins che tirs Term ol ies Ratio Unicy also may have is dum equal eo an in finite umber ot ans siven equal ParIS, TUCh 25 ay. = = a, ard 5 = a= 13 il a = 4 EBon 5== =, it a = 5 chen 5 = Z. By (BCH means, vou may tave an infinité Mulciple de Submultiple, eo any ocher infinite, soine ot in any assionable Progression, besinins ac Uniey, and tavine che Firs Term ot ies Ratio Uniey, and che last Perm ot the ses ries intinice; chusit eo che Progrestion, Be inine ae rs andendinse at c, and goitie v M I MC Uni chat SIt trica cics and P qual Geome tin +105 and Vou IES, Su the C0