# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/1066518432:0311 # Permalink to this reading: https://leibnizlegible.com/page/1066518432:0311?run=74 # Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182) # Folio 283, page id 1066518432:0311 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=311 # Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000311.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine # Lines: 37 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. DE VTRTDOS ET NIOTIBOS CORBORDM. LIB. II. 283 Demonstratio. Ouatenus linea deferens NO aequabili motu vertiis FIB. XIO: OFertur, catenus ea mobile MI ipsi inhaerens secum abripie, sed quia aer mobili ilti continue alliditur, ec corpus iptum (secundum hy- Pothelin) libere in deferenti linea NVO moreri potest, aerque can- dem in mobile impressionem exlerie, (5. 4.22.) ac si in ipsum quic- scens ea ipla celeritate impingeret, qua mobile in aëre motu abso- luto Fertur; ideo per le liquet corpus M ab aere continue rertus impulsum omnino mocum iri ex N versus O, moru proprio in linea deterente, sed contrario motui hujus linex deferentis; ac constat in- Cuper motus proprios mobilis M ab impultu aeris ortos, esse decre- menta motus absoluri corporis in aere, atque adeo effecta resisten- cixe aeris, ut adeo hinc manifectum sic motum absolutum corporis M in aere haberi, si a moru linea deferentis NVO subducatur mo- tus proprius corporis M in hac deterente, adeo quidem, ut sI, CX- acto quodam tempore atque motu proprio, mobile spatium NF. in linea deferente transmiserit, e in ejus termino F. pradum relocita- tis DE acquisirerit, relocitas absoluta mobilis in aere (5. 4.83.) Fu- cura sIE BD, excessus scilicet celeritatis BR vel AN, qua linea dete- rens moretur, supra celeritatem DF in linea deferente mobili ac- quisita ab aeris relistentis impressionibus. Propterea motus absolu. tus e rariatus mobilis M in aere idem erit cum eo, qui resultaret ex mocu communi lineae deterentis NO, et ex proprio mobilis in hac linea deferente. Ouod crat demonstrandum. C OR OL L A R LW M I 188. Sic jam curra NDO cala celericatum mobilis M in linea deferente NO acquisitarum, et curra PFO scala imprectionum ac. ris in mobile M exertarum; et relocitas inicialis mobilis M, quae crat AN, reducta erit ad celeritatem BD eo tempore, quo mobile in linea deferente spatium NF. transmitrit. Adeoque per praeceden tem habetur generaliter F F. KC ==DF. ad. Id es momentum Colicita- tionis acceleratricis P. F in linea deferente aequivalet momento celerita- tis F.D in eadem linea deferente acquisitae TempuS rerO Per NF sOu (5, T28.) sFC: DF = sad: L. F d l li te letd 21 b. Lee al atcls floa moblC t LBC CeMDDiC sad.