# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0328 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0328?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 294, page id 1041163592:0328 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=328 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000328.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine # Lines: 35 recognised, mean confidence 0.92 # 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. PHILOSOPMTLEE NATDRALIS IDE MOTV LORPORVH ad da a De Motu Fluidorum 5 Resistentia Projectilium. PROPOSITIOZZXII. TTTEOREMA XXVI Si Corporum Systemata duo similia ex aequali particularum numero constent, e particule correspondentes similes sint es propor- tionales, singulae in uno Systemate sineulis in altero, similiter sitae inter se, ac datam habeant rationem densitatis ad invicem, es inter se temporibus proportionalibus similiter moveri inci. piant, (ea inter se quae in uno sunt Systemate e ea inter se quae sunt in altero) e. si non tansant se mutuo quae in eodem sunt Systemate, nisi in momentis reflexionum, neque attrabant vel fu- sent se mutuo, nisi viribus acceleratricibus quae sint ut particu- larum correspondentium diametri inverse es quadrata velocita. cum directe: dico quod Systematum partieulae illae persent inter se remporibus proportionalibus similiter moveri. Corpora similia de similiter sica remporibus provorrionalibus in- ter se limiliter moveri dico, quorum litus ad inricem in fine tem- porum illorum semper lune limiles: Puta (i particulae unius Syste- matis cum alterius particulis correspondentibus conterantur. Vn de cempora erunt proportionalia, in quibus similes ec proportiona. les Figurarum similium partes a particulis correspondentibus de scribuntur. Isieur si duo sinc ejulmodi Srctemata, particula cor- respondentes, ob similicudinem incaptorum motuum, pergent - militer moveri ulque donec sibi mutuo occurrant. Nam s nullIs agitancur viribus, progredientur uniformiter in lineis redtis per mo- TuS LC8. T. Si viribus aliquibus se mutuo agitant, ee rires illae sInE uc particularum correspondencium diametri inverse de quadrata re- locitatum directe; quoniam particularum situs lune similes dt vires proportionales, vires cotxe quibus particula correspondentes agi- tantur ex viribus lingulis agitantibus (per Legum Corollarium secun-