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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 303

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.89.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. DE VTREBOS ET MOTLBOS CORPORDM. LIB. II. 303
  2. pore mobile M confecerit in linea deferenti spatium ME, et in ejus
  3. termino acquisirerie celeritatem DE, relocitas abloluta mobilis in
  4. aere erit BD, quacum aex mobili M allabetur, unde per hypothelin
  5. exit MP ad EF in duplicata ratione AM ad BD; hoc eAt MP:
  6. EF = AME: BD. POnIEUTeniM AMI, CCU MIN vel NI, prodesionan-
  7. da relocirare initiali. Jam ductis per punctum PY InETa aITMDEOTaS
  8. MA _E AR hyperbOIA NTIR, e l0g-nica NOK Tubrangentis NI;
  9. in linea indetinita DCFI paralleta OO et quomodocunque inter
  10. Darallelas OR ac OO ducta, AaL VD aequalIS InFCTCCPEA OTT in-
  11. ter hyperbolam NFIR ee l0g. micam NOR, crirque punctum D in
  12. scala celeritatum mobilis propriarum NIDO. Per punctum d alteri
  13. D indetinite ricinum agantur ah parallela 0, et bf aequidistans
  14. alteri BF; ac ductis per punctum hyperbolae II rectis 1S ec IIL,
  15. ita uE IL =NT (Peu = Tribtansenti logmicae NCK in puncto ,
  16. atque adeo FTL parallela sic cangenti log- miex in C, Peu elemen-
  17. 1068) ac denique tansente hyperbola LIR, adeo ut AI sIE = IR,
  18. e LR = TI = NIS; quibus Factis exit nh = F e =DA, e FIM =da.
  19. TI. FIrperbola pexebet, AI: AT = TNI: TII, e diridendo LR
  20. vel TT: AT = DE vel TIS: BD Ceu TII, ex hypOchesi verO AI vel
  21. AMI aNE MP: BD = BD: BF, ergO ex aequo L H: TEI vel BD = DE:
  22. EF; CA VerO LR: TFT = nB vel Re: TIm (CN da, CFGO CFIZIM DF:
  23. EF = FC: da; aCque adCO F F. Pe= DF. da. LIOC CA momentum (o-
  24. licitationis acceleratricis PF aequatur momento celeritatis in deferenti
  25. linea mobili MI acquisitae DF. ErgO (5. 488.) CUITVA WDO eM scala
  26. celeritatum, e PFO scala relittentiarum, seu impultuum aeris vel
  27. Colicirationum acceleratricium mobilis in linea deferenti, haec enim
  28. omnia idem Agnificant.
  29. TIT. AGatuE SR crirque ea paralICla FTL; nam TFI: IS vel YN =
  30. TL vel AT: TR vel AI. Adcoque IS: TIS = AM: DE =IR: LR =
  31. mh: nh rel Fe, hinc Be: DF. (5. 128.) =tEe =mB: AM; erSO Om-
  32. nia FEe id CA TMIE = CHI: AMI, hInC AM. TME =OHI, _E AMI.
  33. MIE, = ME seu (5. 489.) Spatium absolutum, quod mobile in aërc
  34. transmittie, erit =CII -OII = CG; adeoque exponi debet l0ga-
  35. richmo rationis, quam celeritas initialis mobilis TN habet ad III
  36. vel BD in locarithimica NOI, cujus subtansens NT. Ouod Crat
  37. Primum.
  38. IV. NTUM. PIT. CTALTMIE =CFT: ANI =LR: TL =STT: TTT =DF.
  39. BD, id eA, tempus quo mobile spatium suum absolutum in aëre ab-
  40. lolric, seu motu proprio in linea deterenti Epatium ME, exponituE
  41. xa.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 303. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0331?run=74