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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 362

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: 0.91.

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The machine reads it as

  1. 262 DE VPRLBOS F Y NIO TTBDS CORPORDM. LIB: PY
  2. Demonstr. P. X centro corporis Auidi C CXCaNE tubI CP, CF ee
  3. CD ad centrum C inter se communicantes e pleniliguoris seu Aui
  4. di, guOrum PrIMUS PC aXI PP COnGrUAE, e CF eidem aXI perPCM-
  5. dicularis (IE, Tertius vero CD ad ambosue libet inclinatus. Si moles.
  6. Auida in quiere ACF, constat (5. 25T.) ejus superticiem sphaericam
  7. Fore, atque adeo C F =CD = CP. Scd cogiremus jam eam eequa-
  8. bili mocu rerolri circa Pp, Singulx Auidi partes R, I, CF, D, _EC.
  9. Tuas rerolutiones simul absolrent, acque adeo carum celeritates ra-
  10. diis CF, CI, HIC, FD, _C. proportionales crunt.
  11. Verum, quia cum omni motu circulari conatus centrifuous mobi-
  12. lis circulantis conjunctus est, ex ejusmodi conatus centritugi radiis
  13. proportionales unt circulorum, quos mobilia in orbem lata pari tem-
  14. Dore delcribunt, conatus centrifugi omnium partium tubi DC mi-
  15. nores erunt omnibus conatibus parrium tubi FC; unde ii conatus
  16. centrifusi conatibus graritatis contrarii Cunt, atque adco pressio cu-
  17. jusque columnae Auidae aequiralet excessui, quo conatus gravitatis,
  18. Seu pondus absolutum columnxe, excedit conatum ejus centrifurum,
  19. _x I, existentibusDC ex F C aqualibus, excessus ponderis FC LUPTA
  20. ejus conatum centrifusum minor est excessu ponderis DC supra ejus
  21. conatum centrifugum, exit pressio columnae LC minor prestione co-
  22. IIIna DC, unde, cum communiCANTCS InE, non poterunt in aequili-
  23. brio consistere, sed debilior presio columnxe FC cedet fortiori DC.
  24. atque adeo aqua in columna BC attolletuE, adt eO ut FC major AAE
  25. quam DDC. Pari argumento conticitur, columnam DC majorem esse
  26. quam PC, quandoquidem haec columna P. C UEPOtCaxI PP COnGrUCNSS.
  27. motum rerolucionis malla Auidx non participat, neque adeo ullo
  28. conatu centrituso pollet, pondere luo equat differentiam, qua Pon-
  29. dus COlumNE DC CxCCdIE CjUS CONAtUI CENFrIFUIGUM. SUINEerSOC F.
  30. major quam CD, ex haec major quam CP vel Cp, ac proinde Agu-
  31. ra pEP A circa Pp in orrum acta producit sphaeroidem, cujus Pp
  32. erit axis minor, ex malsa duida hujus sphaeroidis figuram induet.
  33. Ouod exat demonstrandum.
  34. aaL.
  35. ejas celciu egolce da ceno centum cenuuu, l m piinet
  36. diis rerum terra materia Auida ex grari consticerit, e in se iplam
  37. X16. 245. ConVerti caperit. Sic enim in alcera figura PF A figura Felluris Aui-
  38. diei
  39. 632. Tlinc graria circa ejusmodi sphaeroidem non tendiine ac.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 362. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0390?run=74