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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. 15

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. DF C+ODOTDF
  2. ei in solido incegro haberi cerrum est: puca in AXis pun
  3. eto 7.
  4. AO. FiOdem FerE PTOceNU (UEaEIS UTAndIS, UE SuPTAS 3Z,) Centru se
  5. colligitur cenerum graritatis semisolidi ex convertione segmenti misortar ca
  6. SZ C F circa rectam A F; _E CONSEGUeNLEF CFIAI CCHETUM OFA-
  7. vicaris semisolidi ex conversione sermenti CZ Y, tum circa re-
  8. EtAM A F, cum _ Circa rectaM V Y.
  9. 50. Tandem Cuverest ut centrum sravicaris semisolidi ex mgolidi
  10. convertione Semiercloidis circa rectam C F inveltigemus. circa l.
  11. Nempe si semisolidum illud plano abscindatur quod plano C AF
  12. in recta C F recte insistaE; IMAMIFECEUI CAE GFAVIEAEIS CCHEIUM
  13. fore in ipso plano C A F. Ouaericur, in quonam ejus puncto. HIOc
  14. ModO.
  15. sT. Semisolidum ex convextione crianguli o F P, eric semico-
  16. nUS exCAVATUS; cujuS Propterea cenerum graVIEaLIS, (I CUEVATU
  17. rain demas, erir in rectxe Z F ponctoH, quod abscindat F H=
  18. 22F; (nempe in recta 2 F sic secta uc secanda esset F X, ad
  19. inveniendum cenerum gravicatis hujus solidi integris) sed dein-
  20. de, proprer curvaturam semicircularem vertus rectam C F, (A
  21. verum orariratis cenerum indagare libeat,) abscindenda elt rectae
  22. HIh; ea porrio versus H, quae sit ad tocam HI h uc diameter circuli
  23. ad semicircumterenciam; (sc vrique diridendus est axis Pemicir-
  24. culi ut habeatur Cemiperipheria CenETUM GPAVIEALIS.)
  25. 52. Semisolidum autem, ex convertone Traperii V BoP, est
  26. Frultum coni excaratum; cujus centrum gravicatis (si curvatu
  27. eam demas) est in rectae EZ eo puncto, puca K, quo ica dividi-
  28. eur uc dividenda esset F Y ad inveniendum cenerum gravitatIS
  29. hujus solidi incegri, nempe excavati Frulti conici. Centrum
  30. AULEM GFAVICAEIS VeTUM, CFE (PTOPTEF CUEVATuTaM) in rectae I. K
  31. eo puncco quo ica diriditur ue de IIh modo diximus.
  32. 53. Cum icaque horum Femisolidorum rariO IMOMCNEOTM,
  33. cum respectu rectae C F, tum reCtR A F, COMPONAtUE ex PaLIO-
  34. nibus magnicudinem _ distantiarum reperientur puncta F, a, (-
  35. mili fere mechodo quo supra; adeoque e punctum s, centrum
  36. saricatis semisolidi; et simul centrum gravicaris folidiinceori,
  37. pura punctum AXIS A.
  38. 54. Cumeue similicer Faciendum si (mucatis murandis uE S Centrum
  39. 3F, 49,) de semisolido ex convertione segmenti, Puta EZ C F; solidi ex
  40. PaTILeF seementO
  41. semento
  42. Centrum se-

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 15. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0031?run=74