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Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 337

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 VTRTBUS ET MIOTEBUS CORPORUM. LIB. II. 337
  2. COR OZ L a R Lu n TII.
  3. 585. Si relistentia est uniformis, Curra ARC abit in lineam re
  4. ctam ipsi AC parallelam, eritque hoOC CasU AMNSB = CMNSB =
  5. BB. 6II = AC. BR, ac per consequens resistentia medii BR unifor-
  6. mis ad graritatem unitormem se habebit, ut OHI differentia abscis-
  7. Parum BC _ BII arcuum currX AB ec BC descensu e sublequen-
  8. te alcentu descriptorum ad AC asgresacum iplorum arcuum ABC.
  9. C OROLL A R L U M IV.
  10. 586. Si curra ABC est cyclois ordinaria, cujus axis vel diameter
  11. circuli generatoris eAt bB et basis ac; femisis differentix quadrato-
  12. rum ex arcubus crcloidis ADB e BF C descensu ex ascentu descri-
  13. PtiS aQUABIEUT AFCX ATRTC.
  14. Nam, quia BB exponitigraritatem unitormem juxta ea, quae 5. 179.
  15. dicta TunE, haec BB erit dupla diametri bB; hinc BB. BC, = 2. bB. BC =
  16. 2. BR (rel, quia arcus crcloidis ADB aequat duplam subtensam BK)
  17. = 5. AB, _ BB. BII = 2. bB. BIT = :. BC, ergo BB. GTT = : AB-
  18. :BC==ATRTC. HhOc CR, rectangulum ex lemisse difterentix ar
  19. Cium ADB e BF C descensu e sublequente ascensu in creloide
  20. delcriptorum, in a58resatum ABC corundem arcuum, x quat arcam
  21. ATRIC.
  22. Hloc corollarium coincidit cum propositione ZZZ. L ib. II. Princ.
  23. Phil. Nac. TIlustr. Nertoni, cujus tamen demonstrationem ex aliis
  24. principiis hausit, uc demonstrationem illam inspicienti cuilibet pa-
  25. tebit.
  26. COR OE E A R YU M V.
  27. 587. Erso, in calu corollarii TII. hujus, resistentia uniformis in
  28. creloide erit ad graritatem, id est, RB ad BB in Ag. 134. Sicut di-
  29. midia differentia arcuum ADB e BFC ad BB, seu hemicreloidem
  30. aDB, vel sicut disterentia dictorum arcuum ad interram crcloidem,
  31. aBC. FA enim (5. 585.) BR: BB = GTI: AC = BB. GFL: BB. AC
  32. (5. 586.) = (: AB --: BC). AC: BB. AC = ; AB - : BC: BB vel aDB,
  33. =AB -BC: crcloid. aBC.
  34. SCHO-

Cite

Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo, fol. 337. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1066518432:0365?run=74