# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0401 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0401?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 367, page id 1041163592:0401 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=401 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000401.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 recognised, mean confidence 0.91 # 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. I1 PRINOIPTA MATMIEMATIOA. 67 titate materix sux, quam supiter pro quantitare materix sux, in LIDP. R ratione quacunque datas Duca d ad e: dictantia IntEE CENErUM SO- TERTIOS. lis ex cenerum Orbis Satellitis, major semper loret quam distantia inter centrum Solis ee cenerum Poris in ratione subduplicata quam proxime; uti calculis quibusdam inieis inveni. RE E Sacelles mi- nus graris esser in Solem in ratione illa a ad es distantia ceneri Orbis Sacellitis a Sole minor Foret quam dictantia ceneri foris à Sole in ratione illa subduplicata. Igitur si in aequalibus à Solc diltantiis, graritas acceleratrix Sacelluis cujulris in Solem major esset vel minor quam graritas acceleraerix Poris in Solem, partC tancum millesima graricatis tocius; Foret distantia ceneri Orbis Satellicis à Sole major vel minor quam distantia Toris d Solc Parre o dictantix torius, id est, parte quinta distantix Sacellitis extimi a centro Toris: Oux quidem Orbis eccentricitas Fore valde sensibilis. Sed Orbes Satellicum lunt Jori concentricis et propte. rea graritates acceleratrices joris et Sacellitum in Solem aequantur incer sc. Ec eodem argumento pondera Saturni de Comitum ejus in Solem, in aequalibus à Solc dictantiis, TUnE uE quantitateS maTe- rixe in ipsis: FE pondera Luna ac Terrae in Solem vel nulla sunE, vel earum massis accurare proporrionalia. Aliqua aULem sUNE Per Corol. 2. d 3. PrOP. Y. Oninetiam pondera partium lingularum Planctae cujusque in alium quemcunque, sunc inter se uc materia in partibus lingulis. Nam si partes aliquae plus graritarent, aliae minus, quam pro quan. citate materiae: Planeta totus, pro genere partium quibus maxime abundet graritaret magis vel minus quam pro quancitace maceriae cotins. Scd nec retere utrum partes illae externae sint vel internx. Nam s verbi sratia corpora Terrestria, quae apud nos lunt, in Orbem Lunae elerari Angantur, et conterantur cum corpore Lunx: Si horum pondera erene ad pondera parcium externarum Lunx ut quantieotes materia in iildem, ad pondera vero parrium in- ternarum in majori vel minori ratione, Forene eadem ad pondus Lunx corius in majori vel minori ratione: concra quam supra octensum est. Cdr. L.linc Ponuera corporum non pendene ab eorum FOr- mis dc texcuris. Nlam si cum Formis variari pONeNE; FOreNE Ma- jora vel minora, pro variecare Formarum, in aequali materia: Om- mino conera Experienciam. Corot.