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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. 68

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 CYCLOTDF
  2. Satur per maenicudinem eranslocatx pareis divita, unde nabeacue
  3. MENTUCA PFOIOCIONIS cenEri GraVIcatIS quancum ad A F rectaM;
  4. hujusque semissis, distantia urique ejusdem centri a Bb, in can-
  5. dem magnicudinem irorum mulciplicata; prodibie Dividui se-
  6. missIs, nempe sE- D= P2 =-=D=, momentum iltius cranlocata
  7. partis, bilineo BC insistentis, respectu rectae BB.
  8. 7T. Deinde, super criangulo CBb rectilineo, incumbit cy-
  9. lindri quadrancalis porrio, cujus balis CbC quadrans circuli, al-
  10. cicudo Bb = Z F; momencum vero ejusdem respectu rectae BB
  11. elt 6D= D =, E D P2. Ouod eodem modo colligieur quo su-
  12. Pra ( 35 e (C99.) Colligitur momentum ejusmodi porcionis
  13. FXoGZ A3. 5. Cum enim illica 39 haDetuE , ZD = =, Z9Y, 3∞
  14. momenei ausmentum (ob dicte portionis ibidem cranctationem
  15. respectu recta F A (Enempe incelligacur Y F A planum hori
  16. zonei parallelum) vel rectae Fe (siscilicet planum Y F p hori
  17. zonti parallelum incelligatur:) Adeoque ejuldem lemistis + SD
  18. 250D
  19. portioris dictae momentum respectu rectae Y2 vel
  20. Zu (prout haec vel illa incelligatur horizonri Parallela,) POsca
  21. quidem (quod illic supponitur) segmenti alcirudine Yv= = D
  22. LInde, Si Posier fuisset LV P (ProuE jam in casu cimili suxPO-
  23. nimus super aequalem balem porcionis alcicudinem Bb + P
  24. fuisset ejusdem MOIenEM respectu reSX YZ vel YV, S D.
  25. si= D= PZ. Ouod igitur est momentum porcionis Cylindri qua
  26. drantalis, criangulo C B b incumbentis, respectu rectae LB
  27. fg. 7.
  28. 72. Torius aurem Cxlindri quadrancalis, parallelogrammo
  29. BC incumbentis, momencu respectu ejusdem Bb rectae, elt : D. p
  30. 6qDP2, 2D2
  31. p. Undes auferatur cum momencum Colidi bi-
  32. lineo BC insictentis, si2 D. P2 =22 D+ (∞70;) cum, C∞.
  33. st=D=p2 (7) momentum porcionis semicplindri crianeulo
  34. CBbincumbentis; hoc elt, 3D P- D momentum Colidi co-
  35. eius erilineo micto CBb incumbentis; manebic, DL momencum
  36. respectu ejuidem B b rectxe) Solidi insiltentis crilineo misto BCC
  37. H9. 7. nempe solidi ex omnibus VZ.X2 Y Ag. 7. uod 65 propo-
  38. nitur inquirendum.
  39. 7SLHaBIEO: PrOPEeE cuM AF A9. 20. duplam rectae c C
  40. 15.7. ad eoque e L. V f9. 10. duplas rectarum VL Fio. 7. tum V: D
  41. 218, 7, 23

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 68. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0076?run=74