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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 201

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: 0.88.

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The machine reads it as

  1. 2
  2. DE VTRTDUS ET MOTIBUS CORPORUM. LIB. II. 201
  3. C OR OL L A R Y u M II.
  4. 361. Nam si scala elasticitatum aeris A2D+D Fuerit linea recta,
  5. hoc est, si clasticitas aëris, aut vis comprimens, est ut densItaS, Curra
  6. E TE2F. erit hyperbola conica intra alzmptotas C A ex AO deleri-
  7. Pta; eA enim TETO: FO =OD: TOID (PFODFCF reCtaM A2DID)
  8. =AO: A1O. Hlinc, Si hyperbolae quadrilincxe FOTOTE,
  9. TOZO2FLE, ec. sint aequales inter se, et hisce aequalibus quadri-
  10. lineis aequentur totidem in scala graritatis variabilis ACFC IA,
  11. TATCZCZA, ec. homotox ordinatae AB, TATB, 2A2B, ec. in
  12. scala densitatum BFBZB crunt continus proportionales. Nam
  13. propter aequalitatem trapeziorum huperbolicorum OTF, TO2F, _C.
  14. abscIsa AO, ATO, A2O, _c. vel abscissis hisce respectirae Or-
  15. dinatae in scala clasticitatis OD, TOFD, 2O2D, _c. hoc CA AB,
  16. TATB, 2A2B, ec. ipsis eodem ordine sumtis aequales crunt in con-
  17. tinua ratione. Idcirco, Ci rires comprimentes, vel aequiralentes rires
  18. clasticx aeris densitatibus ejus proportionales, in seala rero grari
  19. tatis quadrilinea ACTOTA, TATCZC2A, EC. aequalia Fuerint, den-
  20. SitateS aeris in lOciS A, TA, 2A, ecC. erunt semper in continua ra-
  21. tionc.
  22. C OR OF L A R F u M TTT.
  23. 362. FropCC A graritas in lOcOquOlibCE TA, Peu OrdinATA TALC
  24. FHICTIE RCCIPYOCC UE OTA, existente curra C 1C2C hyperbola in-
  25. detiniti gradus exponentisn, et magnitudines OA. =n, OTA. =n
  26. O2A =n, ecc. Tumantur in progressione arithmetica alcendente, Or-
  27. dinatae scalae densitatum AB, TATB, 2A2B, XC. CrunE Continue
  28. provortionales. Nam quia OA, = n, OTA, =n, O2A =n, _C. PrO-
  29. portionales lunt hisce sequentibus eodem ordine Cumtis O2A =
  30. OrA =; OA =2, _C. hisce jam proportionantur rectansula OA.
  31. AC, OTA. TATC, O2A. 2A2C, ScC. eroo haec rectanoula sunt
  32. etiam in progrectione arithmetica, atque adeo (OTA. TATC =OA.
  33. AC): n = X id eA, juxta ea quae 5. 360. dicta sunt, quadrilineum
  34. ACTOTA AQUatUE (O2A. 2A2C =OTA. IATC): n = E, PeuU qua-
  35. drilineo TAFCZC2A, adeoque (5. 36L.) ordinatae AB, TATB,
  36. 2A2B, etc. erune continue proportionales.
  37. D.

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 201. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0229?run=74