# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0496 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0496?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 56, page id 797370323:0496 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=496 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000496.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 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. ( al inciples 16, 8c. is equal c0 the A. rea OF che Curve vitiole Lquation 15 y X = 1 2nd 1- F 3 + 9. F 27-] 29, 8c. Cqual 10 the drea Ot che Curve wrhole Fquation I5 Y X == 1, 2nd 25 the crea oE chis lalt, is greater chon chac oEche Clt, (o are che. paxts respe. ctively; buc che tirs reduc d eo equal ParEs, 15 2 7. 2 7 2 ] 2 + 2,esc. Wrhereas chele- cond is buc Z 1. 2 f. 2. + 2, ec. Which 2 paris are lels chan cheformer; Wrhereasctie lecond srea is grearer chanthe Crst; buc che realon ot chis diversiey is, becaule ehe se- cond srea orrives Cooner ac ∞ 1, cham che sirIE. And che Denomination ot che infi. sC nicely (mall equal pare, is talen trom its ar- ririns ac eo 1 Wichout consideration ol che Ouicknels or Slomnels chereot, (o thac che unequa lpares, which diverselastest, haveche Leas infinicelr EmaIl equt parts, cho in che mean cime, chey make che greacea Area; arhen an equal intrire umber ot Pares are catien, as chey Chould do. IEic vvere possible eo tindt che infinirely (mall equali parrs, ot che yperbolvidicat Spaces, tromche Numiber ot est LCxS WV∞A et n Ou MII EO dPE et SpacC 1 c lations SpACC chem. OnS, O Onc ane chele er sciss et che Wvhich il nencu su at