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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. 53

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: 0.90.

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The machine reads it as

  1. DE CTCFOTOL
  2. 48. Inceori rero Prismatis, eidem B cC crilineo insillentis,
  3. ex punctoC suspen, momentum respectu ejusdem B rectae, SiC
  4. habetur. Prismaris hujus basis est ipsum crilineum BCC = =D Y
  5. D
  6. (Per = 20) quae in alcicudinem ZD ducta, dat D= P
  7. FD prismatis maenitudinem, quae in distanciam b C = =D ducta,
  8. dac 3 = D P - D Prismatis ex puncto C suspenli momentum
  9. respectu rectae LD,
  10. 49. Racio igitur momenei Porrionis prismatis in suo fieu, ad
  11. monenrum prisnatis integri ex puncto C Tuspenti, respectue
  12. jusdem Bb recta, CAt (per 47, 48,) ue,dD. P D= ad; ZD P
  13. un 16 ; hoc Cct, uE 3 P = 4 D ad 9 P = +B D. (7UIX FaTIO ∞ 25
  14. proxonitur inveltiganda.
  15. 50. Flanc aurem racionem sic inventam, eandem eRe arque ra-
  16. cionem omnium Z. V Ag. Tc. in qa 2 respectire ductorum, ad eas-
  17. dem omnes QV in quidrarum recta CA; jam supra oltentum
  18. Cs = 25. ACOIHeS Z V, hoc est crilineum CZ AF, hoc est
  19. DP = 2D (Per = 1O) in C A = 2D dusta, danE2 D= P = qD2
  20. prismaris magnicudinem; quae irerum in 2D diltantiam ducta,
  21. dac 4 D P=8 D= monentum dicti prismatis incegri crilineo
  22. C. Z AF Ag. 20. insiltencis, ex puncto A suspenti, respectu rectx
  23. C C.
  24. SF. Adeoque (PrOpter rationem 3 P - 4 D ad ) P = 28D, =
  25. 43 invencam) eric 3P - 4D
  26. OP - +8D in 4D: P = 8 D, hoc est
  27. 72P - 16D D, momentum exposicxe porcionis prismatis crilineo
  28. CZ A F insistenis, in SuO Situ, respectu C C rect; hoc est, Fa-
  29. ctu ex omnibus Z. V in 4 a respectire: Et consequenter (divi-
  30. dendoper + D) erit 3-
  31. a
  32. D2, hoc eAt =D . P = FD, Factu
  33. ex eisdem omnibus 2. V in respectire ductis. Quod 22,
  34. 25. Sulcepimus octendendum.
  35. 52. Ouod autem omnes
  36. a D:
  37. V: D= L a; EIDE ad DC
  38. cories Cumptum, ue x ad 5, (quod 20 probandum sulcepimus,)
  39. sic octendicus, ex principiis noltrae Arithmeticae Insinicorum. In.
  40. Finica

Cite

[Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo, fol. 53. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/85138403X:0069?run=74