# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0047 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0047?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 13, page id 1041163592:0047 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=47 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000047.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine # Lines: 42 recognised, mean confidence 0.94 # 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. PRINOIPIA MATHEMALIA L F X TII. actioni contrariam semper es aequalem esse reactionem: sive cor- porum duorum actiones in se mutuo semper esse aequales e in par- tes contrarias dirici. Ouicquid premie vel trahie alcerum, tancundem ab eo premitur vel trahitur. Si quis lapidem disito premit, premitur de hujus disitus a lapide. Si equus lapidem funi alligatum crahit, retrahe cur etiam ex equus (ue ita dicam) aequaliter in lapidem: nam Funis utrinque distentus eodem relaxandi se conacu urgebit equum ver- Tus lapidem, ac lapidem vertus equum; tantumque impediet pro- srectum unius quantum promoret prooressum alterius. Si corpus aliquod in corpus aliud impingens, motum ejus ri lua quomodo- cunque mutarerie, idem quoque ricissim in motu proprio eandem mutationem in partem contrariam ri alterius (ob aequalicacem prel- Tionis mutuX) Subibit. Ilis actionibus aequales Aunt mutaciones, non velocitacum, sed moruum; scilicet in corporibus non aliunde impedicis. Mucationes enim velocitatum, in concrarias icidem partes Factae, quia mocus aequaliter mutantur, sunt corporibus re- ciproce proportionales. Obtinet criam haec L ex in Aerractionibus; uc in Scholio proximo probabitur. COROLLREIUMI Corpus viribus conjunctis diasonalem parallelogrammi eodem rem Pore describere, quo latera separatis. Si corpus dato tempore, vi Cola M in loco Aimpressa, Ferretur uni- Formi cum moci ab A ad B; e vi Cola N in eodem loco impressa, Fer- retur ab A ad C: compleatur p2. ralleloorammum ABDC, ec vi utra que Feretur id eodem tempore in diagonali ab act . LFau 9a0- niam vis Nagic secundum lineam AC ips B D parallelam, h~CHIS PCt Lesem it nihil mucabie relocitarem accedendi ad lineam illam B D ari altera genitam. Acceder igitur corpus eodem cempore ad lincam BD, Sive ris N imprimatur, sire non; acque adeo in sinc illius tempo- ris reperietur alicubi in linea illa B D. Eodem argumento in finerem- Doris ejusdem reperietur alicubi in linea C. D, e idcirco in ueriusque Linex Concursu D reperiri neceNC eAt. PErGCE AuTEM motu rectiLI neo ab Aad D Per LcgCm L. OROL LEOEC MOTVSO