# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0177 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0177?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 143, page id 1041163592:0177 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=177 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000177.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 21 lines, status machine # Lines: 21 recognised, mean confidence 0.88 # 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. PRINOIPTA MATHEMATICA. PROPOSIEIO LITL PROBEEMA ZXEV. 243 Concessis Ficurarum curvilinearum quadraturis, invenire Vires qui- bus corpora in datis curvis lineis Oscillationes semper Isochro. nas perasent. Olcilletur corpus L n cllra quavis linea SFR 8 cujus axis lE OR transiens per virium cenrrum C. ASatuT F X quae curvam il- lam in corporis loco quoris F coninsat, inque hac cangente LL rurarum quadraturis (per Mechodos rulgares) innorescit. I pun eto T cducatur recta YZ tangenti perpendicularis. Agatur C Dendiculari ill is rectae FZ. capiatur TY aequalis arcui T R. Nam longitudo arcus illius ex Fi- Per- OCCHEFCNS IN L. aLCIIC ViS centripe d. F. I. roportiona- NTam C. +B) PRFMVSi