# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/797370323:0144 # Permalink to this reading: https://leibnizlegible.com/page/797370323:0144?run=74 # Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53) # Folio 106, page id 797370323:0144 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=144 # Source image: https://digitale-sammlungen.gwlb.de/content/797370323/jpgs/default/00000144.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 52 lines, status machine # Lines: 52 recognised, mean confidence 0.75 # 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. 106 Dnnoconicat Brincimles Princip. Phil. Mathemat. Chac che Force erhereby chewhole Circle, upon che Radius AD, aetracts che Corpulcle P, 15 a5 che AELIL mulciplied upon cheDistance AP, dec D e be calld x, and FR, y; and lec SK, or che Force Whereby che Poine F atcracts che Body P, be reciprocally as any Porver (suxpole n) OF P F chen che Lqua tion oE che Curve Will bC, y = X = X = n. Whole Area ODF K NI = X - 1. B 1- n q n 1 And iE For x vou substiture P L, you have Ed dit che Area OD ALMI = 31 1= n (P x rou substicure PF, chen you have OPFTLM= dis i n B - - 1 u II Andcheretore PCEIS M. = n - 1, Wre MalL haVC, AFIIL = ODEIILM = OD AL Ml = XD ( Xm = D qui = eGriis E3I ABI 17 est AV M X A M atracti puscle 140 M X IIn: OF tMC Wwill co votrich Tlyperbe finice, 2 Ctance tractine PAX. II n attractii course c PF