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Machine transcription of the Leibniz Nachlass

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[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 86

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. DF CTSSOTDE.
  2. suOSIEU, VE 5 ad Y. Epatium IBIEUIE FCZ AF in luO Seu, XquipOn
  3. derac quintuplo semicirculi in sicu suo, sire in distantia CC su-
  4. lvenso; adeoque semicirculo in distancix CO quincupla. FF
  5. consequenter (proprer diltantias magnicudimbus reciproce PrO-
  6. porcionales) cum spatium sic semicirculi criplum, erie diltancia
  7. diltancia suberipla, hoc est = C 6, vel S C F, nempe a recta C a:
  8. Adeoque Z C C vel ZC F a recta F A. Tancundem icaque distat
  9. iltius spacii linea centri gravicaris (_, siquod est, ipsum gravica-
  10. EiS CentruM) a rectis illis C a F A. Ouod erat oMendendum.
  11. Idem eodem modo colligicur, sumpea ab inicio, aequilibrii
  12. linea F A. Nempe cum series magnicudinum L Z SIC ~
  13. _ distantiarum D= a; F.I ex uerisque compolica series momen-
  14. Eorum V p in D = a: hoc est V a in V: D = a: hoc est
  15. series aa in seriem a’a inverse ducta; cui convenit (uE supFA)
  16. ratio = ad 4 ∞. Momentum ieaque dicti spacii in Tuo sieu (respe-
  17. ctu F A reCtX) est ad momentum quadraci F C in diltancia FC
  18. Suipens ue Z ad 4 B; adeoque ad momentum semicirculi (C su-
  19. Spen(i, uc X ad 2: Hlo.est, aequiponderac semicirculo suspenso in
  20. diltancia Z F C, hoc est ex puncto C centro, ho- est in suO SItu.
  21. Cum igitur spacium illud Cissoidale in suo lieu requiponderat Se-
  22. micirculo in TVO, (reSpeCTU FeCtX F A;) Sicque Spacium illud Se
  23. micirculi criplum. Frie diltancia distanciae suberipla; hoc est
  24. EF C, vel Z F C, nempe a recta FA; Adeoque Z F C, vel ZFC,
  25. a recta C a. UEpriuS.
  26. Aeque hinc Ratim collioimus; Solidum ex conversione dicti
  27. Spatii Cissoidalis, ad solidu ex convertione semicirculi, circa ean-
  28. dem rectam C a, esse uE 5 ad Y, (NEMPC UE DLANOEUML IOMIeMCA
  29. respectu ejusdem Ca rectae:) CIrCA RCCFAML AUFCM FA (PFOPECI X
  30. qualia planoru momenta respectu hujus rectae) equalia esse Colida.
  31. Si quis aurem quaerat, de solidorum hujusmodi lemiconrerlio-
  32. ne factorum, ceneri gravicatis linea, sive ejusdem ab F A vel C a
  33. diltantia: Id eodem plane modo invellisabitur. Ouippe cum se
  34. miclindricae superticies rectarum L. Z. semiconversione FaCTarum,
  35. linc rectarum illarum momentis proportionales, hoc est (respestu
  36. Fec C a) u V
  37. Tuorumque cenerorum ab eadem recta,

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 86. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826605435:0106?run=74