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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. 12

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. DE
  2. CACLDLDE.
  3. Datur irem sCOeNtI C Z Y CeNErUI GPAVIEATIS (UE 523, Gin
  4. POnItuT, _ 567. 80. deinceps oltendetur;) adeoque e ipsius
  5. dictancia ab aequilibrii linea C F: ElIO CaE. LFIELLAGUO, PTOPTeF
  6. a
  7. B
  8. Dictancia ceneri gravicaris seomenti C L X ab
  9. eadem C F recta, ad distantia E, uE y ad B. (Nempe in ratione
  10. QUX COIMPONLEUL EX PATIOHE MOIEHEOTUI, a Ad B; AIque reCIPIOCA
  11. magnicudinum, r ad a.) pur
  12. 38. Similicer momencum seomenti C Z. Y Ad MOIeHEUL
  13. seomenti C2 T, respectu linex 2. Y, est uc solidum iltius ad
  14. Folidum hujus corvertione circa recta Z Y. FaCtum. Sed haec
  15. ratio superius daca el, per 528; Ergo _ illa. FAo uc a ad s.
  16. Moonicudinum aurem ratio (uE PriUS) uc a 2d 7. Diltancia vero
  17. centri gravicaris seomenti C2 Y a recta Z Y, (ICG. Fric di-
  18. stincia ceneri gravieacis segmenci CZ. V ad distanciam 5, uF Z
  19. ad s. Nempe 2G
  20. 39. Cum ieaque daca sic istius diltanciarum a recta C F, tum
  21. d recta Z Y, (acque inera ipsum segmentum esse conster,) datur
  22. _ ipsum GraVIEatIS cenEruM guXTIEUM.
  23. Centrum (o- 40. Deinde, ad inveniendum centrum gravicaris in Polidis;
  24. Supponimus ur supra in segmeneis circularibus, ita jam in sphae-
  25. ralibus segmentis cenerum grariearis dacum esse: vel, h exiga-
  26. Eur, Parari Cumus exhibere, uc intra 567 E se99.
  27. 42. Ponamus jam solidum factum ex convertione semiereloi-
  28. dis C A F circa rectam A F, secari plano quod plano C A F
  29. recte insistae in A F recta, semisolidum abscindens; cujus
  30. propterea centrum graviratis in plano C A F esse manifectum
  31. eAt.
  32. 42. Deinde, cum solidum sive ex convertione, sive ex semi-
  33. COnvertiOne Traperii V BDP (cIrCA reCtAM A F,) ad solidum
  34. ex limili convertione vel semiconreriione crionouli v LP, lIL uE
  35. dd 2, (uc S 24 Ostentum est;) quaerantur urriusque centra gravica
  36. ris, ut habeacur rario distanciarum cum a recta AF tum a recta
  37. F
  38. 43. Hlabetur aucem solidi ex semiconrertione Triperii Cenerum
  39. raricacis, si in recta C. J. incellisatur punctu K abscindere rectam
  40. lidi circa

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 12. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0028?run=74