# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068193:0241 # Permalink to this reading: https://leibnizlegible.com/page/00068193:0241?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18C # Folio 120r, page id 00068193:0241 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068193&page=241 # Source image: https://digitale-sammlungen.gwlb.de/content/00068193/jpgs/default/00000241.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.81 # 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. Dem intro et MMti XAI tema n tibit lxtet nate et C ita EaM tata cint pr l se De Qvantitate Motus seu Impetu. intentio motus in mobili seu viyor et ipta mobilis veloeitas. Nam vigor est ut quotiens factus divisione impetus per motem (per defin. 2. hic) et velocitas est ut quotiens fa- etus divisione protractionis per volumen (per def. 2: exp. de Ve locitate muniverrum). Et, ii nullum sit discrimen in dentitati- bus, moles reprae sentantur per volumina (per prap. 1. cap. de quantitate materiae) et coincidunt impetus et protractiones per prap. 1. hio); coincidunt ergo vigor et velocitas. e. Nimirum nspiciendo figuras definitionum 1. et 2. mani dettum ett, si eadem ubique in mobilibus sit dentitas, ipsam .1 1. (E, seu 1A2 A vigorem, nihit aliud ete quam velocitatem mobilis, quia ducta in rectam AB dat protractionem seu impetum rectae hujus. Sed si recta densitate differat, aut alioquin densitatum ratio habeatur recta ad hibenda est non RH, quae ducta in volumen AB exchibeat planum pro- fractionis ASD, seu rectangulum B Aa huic triangulo .5 5. aequale, sed CE, quae ducta in molem ABt exchibent sondum impetus, seu in exemplis supradictis solidum prismati– cum pyramiti aequale. Et porito omnia puncta mobilis in eatdem partes terri, tam vigor quam velveitas mosi– us eechiberi poteit pen velocitatem centri gravitatis fse cundum cautionem dietam ad defin. 2. G Selocitas scil. mobilis est eadem quae velocitas centri gravitatis ipsius voluminis, ut in recta As velocitas, puncti medii a nempe 1k2X; si vero densitas recta variet, quarendum et contrum gravitatis, ipnius molis, quod in recta AB, dentitate versus B crescente, proportione dittantiae ab A, est vicinius ipsi B; ita ut BC sit triens rectae As, et suyjus aL 149