# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0323 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0323?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 289, page id 1041163592:0323 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=323 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000323.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine # Lines: 50 recognised, mean confidence 0.87 # 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. 11 RTMTOTPTAMATHEMATICA. 283 uneur ex resistentiis, suntque ue relistentix directe et pondera in- LLHVu verse. Sunc isicur retistencixe uc numeri 318, 136 ec 49, 396. Pars Sucvnvus. rutem resistentix GElobi minoris, quae est in duplicata ratione velo- cicatis, erac ad resistentiam EOtam, uc C,56752 2d 10,61675, id cAt, uc 45,453 2d 493396: 8c pars reliltentiae Colobi majoris propemodum aequatur iplius resictenciae tori; adeoque partes illae TunE uc 318; 136 _c 45,453 quamproxime, id cA, uc 7 ec I. Sune aurem Cloborum diametri 164 8c 63; ec harum quadraca 35126 ec 47 64 TUnE UC 7, 438 ex 13 id est, ut GEloborum resistentix7 ec I quamproxime. Ditte- rentia rationum haud major cst quam quae ex li relctentia oriri Do- tuit. Isitur relstentiarum partes illae quae Pune, paribus Globis, ut quadraca relocitatum; unt etiam, paribus relocitatibus, ut qua- draca diamecrorum Globorum. Caecerum Grloborum, quibus usus Cum in his experimentis, max- imus non erat pertecte Sphxricus, et proprerea in calculo hic allato minucias qualdam brericatis Gracia neglexi; de calculo accurato in experimento non lacis accurato minime Collicitus. Optarim itaque cum demonstratio Vacui ex his dependeat) ut experimenea cum Globis ex pluribus ec majoribus et magis accuratis Fentarentur. Si Clobi sumantur in proportione Creometrica, puta quorum diametri sinc disitorum 4, 8, 16, 32; ex progrestione experimentorum col- ligetur quid in Globis adhuc majoribus erenire debeat. Jam vero conterendo resiltentias divertorum Fluidorum inter se centari sequentia. Arcam ligneam paravi longitudine pedum qua- tuor, latitudine de alcitudine pedis unius. Ilanc operculo nuda- tam impleri aqua Fontana, Fecique ut immerta pendula in medio aquae oscillando morerentur. Globus aurem plumbeus pondere 2663 unciarum, diameero 33 digicorum, movebatur ue in Tabula sequente descriplimus, existente ridelicet longicudine penduli a puncto suspensionis ad punctum quoddam in silo nocatum 126 di- sicorum, ad oscillationis aurem centrum 1348 disirorum. Arcus descensu primo a puncto in filo notato descriptus, disitorum 64 32 16 8 A dreus ascensu ultimo desoriptus, 4d 24 12 6 3 124 Numerus Oscillationum in aqua Numerus Oscillationum in aere 168 4 852 disitorum 7 124 L3 133 Arcuum differentia motui amisso propeocnonto 60 13 2l 3d