Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 732

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: 0.79.

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The machine reads it as

  1. De Calculo Centri Cravitatis. Cap. V.
  2. S2V
  3. FiB. Rantia Ceneri eravicatis a ra, R = 8 P = 4 v _ + 45 11 a L H,
  4. 8 R = 4 v R + 45
  5. 4R + 4V
  6. P8X. = 40 _ +4 4b
  7. Ongila Sectoris Ba A, aciem habenEis Aa; Magnicudo ZV R2 + 352 R;
  8. momentum respeCtU 7a, 50R f 5 s2 R 2 = E 5 VR; respectu F A,
  9. 30s + e s VR; distantia Ceneri gravicatis a r e R
  10. 4V R + 3 5 d DC, 4 v X [2 5: Momentum respectu Aa
  11. TA -
  12. SC R + 5 50 R + i s R; dittancia Contri eravicatis ab Aa,
  13. 3CA + 350 R + 25
  14. 8VR f 4 52
  15. Aciemque habentis ra; Magnitudo, 3f R + 3 s B R = ; a R + 35 R2
  16. =35V R; momentum respectu Aa, ;v R3 F 3 s R = s v R; distan.
  17. tia Centri eravitatis ab Aa, 4~ RE + 4 5 R - 5. v
  18. 6fR = 25B
  19. : Momencum resPC.
  20. Au ran 3aR3 = 35 R - 85VR 2 - 1 5 R = 3f R3 = SB R7 = 5. R;
  21. respectu FA, 3a R3 + s R F 5uR = = 1 3 S R = 8F R = 2a sBR2
  22. F3 S R; distantia Ceneri Gravitatis a ra 25f R = = 95BR = 2 5
  23. TA
  24. OfR2 = 5Bk + 28
  25. +2R + + 5B
  26. 125_ + 4 5h
  27. 1
  28. Aciemque habentis FA; Magnitudo; 2 F R2 - 3 sB X = ; a A = 1. 5 R:
  29. =5sVR; momentum respectu Aan Ju R + isev R; distantia Cenrri
  30. Fravicatis ab A oX
  31. 4V R 2 + s2V
  32. 6F R = 25B: MOmentM respectu 7 a, 3 a R.
  33. = 22 5 R3 - 52 R2 5 R = 8fR3 - = sB R 2 = ESR; respeCtU Y A,
  34. Ea R3 = 5 R3 = = SV R 2 = 2 5 R = 8FR = 2 s B R2 = = s R; distanEia
  35. Ceneri eravicaris 2r a, DF R - sh R + 2 5
  36. 12]R = 4 5h
  37. 2 FA, 25. f R 7 sBR- 2 5
  38. 12fR = 4 5B
  39. Adeoque extibuimus, Sphaerieorum Sectorum et Segmentorum, Vn-
  40. gularum irem aliorumque Solidorum expositorum, tum magnicudi-
  41. nes, tum momenta respectu expositorum aliquot planorum, corum.
  42. que Cenerorum craricaris a planis illis distanciam, ip laque gravica-
  43. EiS Cenera.
  44. Oux omnia, ad alia etiam Solica, ad Sphaeram ejulve partes spectan.
  45. tia, Facile porerunt accommodari: Aut etiam ad alia Solida ex Cir-
  46. culorum portionibus oriunda.
  47. Ouaque, de Ononsis Semicirculi ejusre portionum; Sphaeraque et
  48. portionibus hujus, dicta lunt; eadem ad Ongulas Semi ellipseos
  49. hujutre portionum: et Sphaerocides, portionesque hujus; Facile
  50. accommodantur.
  51. 1587
  52. 160.
  53. R+
  54. 2.
  55. F.
  56. L.
  57. AletliBaCI

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 732. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0752?run=74