# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1041163592:0384 # Permalink to this reading: https://leibnizlegible.com/page/1041163592:0384?run=74 # Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166) # Folio 350, page id 1041163592:0384 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=384 # Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000384.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. PHTLOSODHLAE NATVRALIS DE MorDIone perpetuo communicane, ec exteriores illi eandem mOtuS quan- Co Fiarem in alios adhue exteriores simul cransserunt, eaque actione EerVaNE quancitatem motus sui plane invariatam; patet quod mo- EUS perPETUO cranssereur a centro ad circumferenciam VorticIs, ec per infinitatem circumferentix abCOrBCEUT. Materia inter Sphari- cas duas qualris superficies Vorrici concentricas nunquam accele- rabieur, Co quod inOEUM OMNEM a ateTia INFCTIORC aCCePEuM cranstere semper in exteriorem. Corol. 4. Proinde ad conserrationem Vorricis constancer in co- dem movendi sacu, requiritur principium aliquod actirum, à quo slobus eandem semper quancicatem mocus accipiat, quam imprimie in maceriam Vorricis. Ab (que cali principio necese eA ue olobus e Vorricis partes interiores, propagantes semper morum suum in exceriores, neque novum aliguem motum recipientes, cardeleane paulacim dc in orbem rei desinane. Corol. 5. Si globus alcer huic Vorrici ad certam ab ipSUS CCnFrO distantiam innacaret, ex incerea circa axem inclinatione datum vi aliqua constancer revolveretur; hujus motu raperetur Auidum in Vorticem: ex primo revolreretur hic Vortex norus ee exiguus una cum globo circa centrum alcerius, ee interea laFIUS (erPCTCE ipSIUS nOtuS, ec paulatim propasaretur in infinicum, ad modum Vorricis primi. Ec eadem ratione qua hujus elobus raperetur motu Vorti- cis alterius, raxeretur etiam globus alterius motu hujus, sic uE globi duo circa intermedium aliquod punctum revolverentur, sC. que mutuo ob morum illum circularem fugerene, nisi per vim aliquam cohibiti. Postea si vires constanter imprese, quibus olobi in mocibus suis perseverant, cessarene, de omnia legibus Me- chanicis permitterentur, languesceret paularim motus globorum ob rationem in Corol. 3. ex 4. assignatam) de Vorrices tandem conquiescerent. Corol. 6. Si globi plures daris in locis circum axes positione da- Tos certis cum relocitatibus constanter revolverentur, herent Vor- tices coridem in infinitum pergentes. Nam globi singuli, cadem ratione qua unus aliquis morum suum propasat in infinicum, pro- Dasabune eriam morus suos in infinitum, adco uc Auidi infiniri ParS unaguXe que co asitetur mocu qui ex omnium sloborum acti- onibus resuICaE. Inde Vorrices non definientur cerris limicibus, Sed in se mutuo paulacim excurrene; globique per actiones Vorri- cum in se muTuO, perpecuo morebuntur de locis suis, uci in Corollario superiore expositum est; neque certam quamris inter se positionem