# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0318 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0318?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 284, page id 1041163592:0318 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=318 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000318.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine # Lines: 40 recognised, mean confidence 0.93 # 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. PHILOSOPHTAE NATDRALIS Scholium Generale. Ex his Propolicionibus, per oscillationes Pendulorum in Mediis quibuscunque, invenire licet resictentiam Mediorum. Aeris rero resistentiam inveltisari per lxperimenta sequentia. Clobum lig- neum pondere unciarum Romanarum 572 diametro disitorum Fondinensium 63 Fabricatum, silo cenui ab unco Catis firmo suspen- di ita ut incer uncum ex centrum oscillationis Crlobi distantia cAce vedum 103. In Elo punctum nocari pedibus decem _c uncia una a cenero luspensionis dittans; et c regione puneti illius collocavi Rcgulam in digitos distinctam, quorum ope nocarem longitudi- nes arcuum a Pendulo descriptas. Deinde numerari olcillationes quibus Cilobus octaram motus sui partem amitteret. Si pendu- Jum deducebatur a perpendiculo ad distantiam duorum digitorum, ec inde demitrebatur; ita ut toto suo descensu describeret arcum duorum digitorum, cotaque olcillatione primas ex descensu ex alcen- su Tublequente compotira, arcum digitorum Fere quatuor: idem Oscillationibus 164 amisie octaram motus sui parcem, sic ue ultimo ruo alcensu describeret arcum digiti unius cum tribus partibus quartis disici. Si primo descensu descripsic arcum digitorum qua- euor; amilit octaram motus partem oscillationibus 121, ita ut alcen- Iu ultimo describeret arcum digitorum 33. Si primo descensu de- Fcripsit arcum disitorum octo, sexdecim, triginta duorum vel sexa- Sinca quatuor; amisit octaram motus parcem oscillationibus 69, 3523 2823 93 respectire. Pgitur differentia inter areus descensu primo e accensu ultimo descriptos, crat in casu primo, secundo, tertio, quarco, quinto, sextos digitorum 4. 23 T, 23 4, 8 respectire. Diri dantur ex disterentiae per numerum oCcillationum in catu unoque- ques ee in oscillatione una medioeris qua arcus digitorum 34, 725 25, 30, 60, 120 descriptus Fuit, differencia arcuum descensu de sub- sequente ascensu descripeorum, crit sici respectire. FIxe autem in majoribus olcillationibus sune in du- Plicata ratione arcuum descripeorum quam proxime, in minoribus vero paulo majores quam in ca ratione; ec propterea (per Corol. 2. PrOD. XXXL Libri hujus) relictentia Globis ubi celerius movetur, est in duplicata ratione velociratis quam proxime; ubi rardius, PaU- lo major quam in ca racione. Deligne DE MOnV POK PORVH