# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0150 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0150?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 116, page id 1041163592:0150 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=150 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000150.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine # Lines: 32 recognised, mean confidence 0.87 # 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. WIIIMIIII F16 PFTLOSODETLE NATDRALIS DEMOrO POrum velocitates in F _ R ec eodem argumento semper reperi- entur aequales in subsequentibus aequalibus distantiis. 9. F. D. Sed ec eodem argumento corpora aequirelocia et aequaliter a cen- ero distancia, in alcensu ad aequales distantias aequaliter retarda- BUnEUT. D. F. D. Corol. 2. Hinc A corpus vel Funipendulum oscilletur, vel im- vedimento quoris politissimo ex pertecte lubrico cogatur in li- nea curra moveri, dc corpus aliud recta alcendat vel descendat, sintque velocitates corum in eadem quacunque altitudine aequales: erune velocitates eorum in aliis quibuscunque aequalibus alcicudi- nibus aequales. Namque impedimento valis absolute lubrici idem praectatur quod vi tranlversa NT. CorpuS eo non recardatur, non acceleratur, sed tantum cogitur de cursu rectilineo discedere. cencripera lempei u spius Le aignnitas quaelbet An = i, cujs Index n = I est numerus quilibet n unitate diminutus; velocitas corporis in omni alticudine A erit uE VPn = An atque adco da- cur. Namque relocitas recta ascendentis ac descendentis (per Prop. XXXIX) est in hac ipsa ratione. Corol. 2. TTinc etiam A quantitaS L eia, ad quam corpus rel oscillans vel in Tr. quacunque re- volvens, deglc quoris Trajectoria puncto, ea quam ibi habct xima LDRPORDI ero distan- velocitate suttun prescecan arre Postic; Sicque quantitas A ditcantia corporis a cencte n ane guoris Orbiexe puncto, de vis RCPO WIMIHIIHMIHMIITMINMIEHHIHAIMILITIIITIIIMAIIHIHEEHIISIIIIIIIMHIHMII