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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 17

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: 0.92.

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The machine reads it as

  1. DE VIRTEVS ET MOTLBOS CORPORDM LIB. T. 17
  2. cC, dD, _ OpPOsIEX Pa, Pb CX Una _ PC aC Pd ex altera plani
  3. PS parte; atqui ex conspirantibus resultat Colicitatio ipsis omnibus
  4. (5. 38.) aequalis id est Colicitatio aA + bB + CC + dD F _C. (R. TL.)
  5. =N. eF (R. T.) = PS, et ex omnibus contrariis (5. 38.) nalcitur (0-
  6. licitatioxqualis excessui quo fortiores excedunt debiliores, id est
  7. iDA PC + Pd + REC. - Pa - Pb = _C. (HUM. TT.) =NV. PC (NUM. T.)
  8. =SR, ergo omnibus obliquis PA, PB ScC. Xequipollent dux late
  9. rales PS e SR, e (5. 39.) hisce unica PR: haec ergo denotat me-
  10. diam directionem Colicitationum PA, PB, PC, PD ecc. e Colicita-
  11. tionem ex ipsis nalcentem, rel quod idem est, ipsis aequipollentem.
  12. Ouod crat demonstrandum.
  13. Elegans hoc theorema IIlustri Leibnitio acceptum est ferendum,
  14. utpote quod in aliqua ejus epistola, jam pridem ad W allisium da-
  15. ta, sine demonstratione exhibetur. Vid. Tom. III. Oper. Wallisi
  16. Fol. 687.
  17. O OR OLL A RTUN T.
  18. 50. Hlinc punctum P, cui quatuor solicitationes PA, PB, PC, PT FiB. B.
  19. ad aequilibrium quidem compolitxe; sed non in eodem plano existen-
  20. TeS, Impressa TunC, erit in centro graritatis prramidis TAC, in cu-
  21. jus angulis Colicitationum repraesentatrices linexe terminantur. Sit
  22. E centrum praritatis punctorum A, B, C _ jUInGAtUE PF, quae me-
  23. dia directio erit solicitationum PA, PB e PC, ac hisce aequipolle
  24. bit solicitatio 3. PF; hinc quia omnes in aequilibrio sunt, crit
  25. PT = Z. PF; atque adeo est PT: PR = 3: T = A + B + C: Y conS-
  26. derando haec puncta tanquam ponduscula aequalia, ac proinde P
  27. est in centro graritatis punctorum quatuor angularium preamidis
  28. A, B, C, T. Scd idem est centrum graritatis preamidis, quod pun-
  29. ctorum ejus angularium. Ergo liquet assertio.
  30. HIoc est alterum cheorema, quod Roberrallius Torricellio olim
  31. propoluerat in loco supra (5. 4 3.) jam indicato.
  32. . OE OE E A R F U M TY
  33. 51. Cee ectat, I MobIle L ad lingula luporticiei currae ABC F18. 9.
  34. puncta urseatur Colicitationibus exprestis punctorum Cuperticiei di-
  35. stantiis a mobilis centro; media omnium solicitationum directio
  36. erit recta PE, jungens centra graritatis mobilis P ec superticiei cur-
  37. vae ABC, ac solicitatio ex omnibus nalcens iplisque aquipollens
  38. CAt,

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 17. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0045?run=74