# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0369 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0369?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 335, page id 1041163592:0369 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=369 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000369.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine # Lines: 39 recognised, mean confidence 0.83 # 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. (II RINOTPLA HEHE RFLBMLLLL LOTu 5 L oritur ab actritu canalis, hic NOH COHHdCTO. DCHSHCHCSSICuI AB, LIBEI FCV4~5. medioerem alcirudinent aeua s cture uctoge d ubi aqu: en crure RL alcendie ad diicllainem L. F, descenaem aqua in Crure M N ad alcicudinent GFl. Sit aMCM L CoIpuS tilum, V punctum Culpentionis, SL I efieis quam cen- esco punctum intimum, Pe arcus altitudin F aequalis. Vis, quta motus aquae alternis ricibus acceleratur neculum, lutum detcribat de retardatur, est excessus ponderis agux in alterutro crure lupra Dondus in altero, ideoque, ubi aqua in crure R L. alcendie ad P. F, ec in crure altero descendit ad EFI, vis illa est pondus duplica- cum aguae L.ABF, ex proprerea eA ad pondus aguxe toriuS ut AF. Peu F e ad seu LA. ViS etiam, qua pondus P in loco quoris Q acceleratur ec retardatur in Creloide, (per Corol. CFOD. LT.) eA ad ejus pondus torum, uc ejus distantia P R a loco intimo P, 2d Crcloidis lonsitudinem P R. Ouare aquae de Den dulis aequalia spacia F, F6 delcribencium, rires morrices LunC ut pondera movenda; ideoque, E aqua ec pendulum in princi Dio quiescunt, rires illae morebune eadem aequaliter tempori- bus aqualibus, CHICIEHEGUe UE MOTU reCIPTOCO LIUI CAHE eE re. deant. d. F. D. Corol. 1. lereu agua dicendentis d descendentis, sire motus in- cenlior sic sive remissior, vices omnes sunt Ilochronx. Corol. 2. Si longitudo aqua totius in canali sic pedum Parisien- sum 63: aqua tempore minuti unius secundi descendet, de tem- Pore minuti alterius secundi ascendet; e sic deinceps vicibus 2l- cernis in intinicum. Nam pendulum pedum 318 longicudiniss sempore minuci unius sccundi oscillarur. Corob. 11 IMIIANIHIHMIHTHBIMIHIIMIII