# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0492 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0492?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 52, page id 797370323:0492 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=492 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000492.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine # Lines: 48 recognised, mean confidence 0.73 # 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. 52 DGuocophieal vrincivler (sec che precedino Fioures) De calld X RCy, and AI = YB bc 1. Leenbean incezer Number, chen y = X expresses che Tacure oF an infinicy OE FEyperboloids, Trom etiis rou trave x = 1. C. 6L. = Wohich Phews; chac the orearer von suppose neo be, the longer will che ordinate CL bC, in respect ot che lame Absciss. AC; For Exemple, oEcvo Curves y X = 1, y X = 1 Col which che former sires 6F =- che ocher CF = =) ehac Which hasn = = ~IZ. y X = 1) Chall have a longer Or- dinate, CL, chan che former, wrtich has n = 2. and consequenely che poine L in che Fre () X = 1) Chall approach nearer eo AC, chan che poine L. in che second (yX = 1) erhen you calie AC che lame in boch; and cheretore che greater vou suppesen, chelonger will ic be, betore che Curve LP D mecc Wich che imptoie AC, Biic chey all eeet voith AC, ac an infinite Dictance Erom A, viX. Whem 6L 15 =0, AADC anc N Va 21) Wt Wc oe NOTC Cy I N it De et 13 intin amo de culci Ot intir ne