# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0378 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0378?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 344, page id 1041163592:0378 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=378 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000378.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine # Lines: 43 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. 11I 3. 14 PTTTLOSODTILLE NATORALIS De Moro cus ille celerius propasabitur per Polum aerem verum, idque in subduplicaca ratione minoris materix. VF A Armosphaera con- Aet ex decem partibus aeris veri ex una parte raporum, motus Tonorum celerior erit in subduplicata ratione r1 ad 10, vel in in- tegra circiter ratione 2I ad 20, quam si propasaretur per undecim parces aeris reri: ideoque motus Conorum supra inveneus, augen- dus erit in hac ratione. Quo pacto lonus, tempore minuti unius Secundi, contcict pedes 114.2. IIaec ita se habere debene tempore verno ec aucumnali, ubi aci per calorem temperatum rarescie ec ejus vis clastica nonnihil in- cendicur. Ac hyberno tempore, ubi aer per trisus condenlatur. et ejus vis elastica remittitur, mocus Ponorum cardior esse debet in subduplicata ratione densitatis; ec ricissim aestiro tempore debet esse velocior. Constat autem per experimenta quod loni tempore minuti uni- us secundi cundo, conticiune pedes Londinenses plus minus TT4.2, Parisienses vero 1070. Cognita Ponorum relocitate innorescunt eriam intervalla pul- Tuum. Invenit utique D. Sauveur (Factis a se experimentis) quod fistula aperta, cujus lonsitudo cA pedum Parisiensium plus minus quinque. sonum cdit ejuldem toni cum lono chordxe quxe tempore minuci unius sccundi centies recurrit. Sunt isitur pulsus plus mi- nus centum in spatio pedum Parisiensium 1070, quos lonus tem- pore minuti unius sccundi percurrit; adeoque pulsus unus occu- pac spacium pedum Parisiensium quali 10F0, id est, duplam circi- ter lonsieudinem Actulae. Onde versimile est quod lacitudines pulsuum, in omnium apercarum Actularum lonis, aequentur duplis lonsitudinibus Aictularum. Porro cur Coni cellante motu corporis lonori catim cessane, ne- que diucius audiuntur ubi longistime distamus a corporibus sono- ris, quam cura proxime ablumus, patet ex Corollario Propolicio- nis XLVEI Libri hujus. Scd ex cur loni in Tubis Aenterophoni cio valde augentur, ex allacis principiis manifectum est. NOtuS enim omnis reciprocus lingulis recursibus a causa generante augeri Solet. Mocus aurem in Tubis dilacacionem lonorum impedienci- bus, cardius amierieur e Forcius recurrit, et Propterca a motu novo lingulis recursibus ipretto, masis AUSCTUT. Lx haeC TUNE praecipua Phaenomena Sonorum. HC LORPORDII