# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0153 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0153?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 119, page id 1041163592:0153 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=153 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000153.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 20 lines, status machine # Lines: 20 recognised, mean confidence 0.90 # 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. PRINCIPLA MATHIEMATICA lique ascendere, Figura CV RS vel FIyperbola sic vel EllipSIS, in- veniri porest Prajectoria augendo vel minuendo anguli l P in data aliqua ratione. Sed ec, Vi centripera in cencritusam rerta, alcendet corpus oblique in Trajectoria V P Q quae invenitur capi- endo angulum VC F Sectori Flliprico C V R C proportionalem, et longicudinem C P longirudini CP aequalem ue supra. Consequun tur hxec omnia ex Propolitione praecedente, per Currae cujusdam quadracuram, eujus inventionem, uc laris Facilem, brevicatis gratia missam Facio. ROPOSITIO XIII. PROBLEMA XXIL. Data lece Vis centripetae, requiritur motus corporis de loco dato data cum Velocitate secundum datam rectam erressi. Scantibus guae in cribus Propolitionibus praecedentibus: CxCaE corpus de loco Y sccundum lincolam PT, ea cum Velocitate quam corpus aliud, vi aliqua unitormi centripetas de loco F cadendo ac. uirere posset in D: sirque haec vis unitormis ad rim qua corpuS Dximu