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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. 526

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: 0.83.

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The machine reads it as

  1. F1B.5
  2. D E C NCF OIVL
  3. ∞4
  4. reliquis, nivore proporcionales; ) nemve = 16 B:Si haec alicudo in balio
  5. magnicudinem 5D D = F∞ ducatur; habetur s D ~ dictae porcionis prismaris
  6. (ailineo BCC insisteniis) magniudo: (aqualio quidetu momenio supra in
  7. VentO. 1
  8. 15 e
  9. 33. Ejuasdem vero porcionis prisnaris (erilineo BCC insistentis) Momeneum,
  10. his pallibus inveltioamus. Si luper Pemicirculum F BC Ag. F. erigatur semieslin-
  11. dei porcio, qualis LCC ZZ F3. 5. alticudinem habens in F nullam, in C vero
  12. CiC =C. F: Semicirculus basis est Z DX; hic in altieudinem super centro grarita-
  13. tis plani, hoc est in ED, ductus, dac 1 D P magnicudinem expolicae porcionis
  14. Semicylindri.
  15. 34. Flujus rero portionis Semiexlindri, cencrum gravicatis distat à plano in F
  16. tangente, recta F 3 ==3D (uc supra 557;) quae distancia in magnicudinem
  17. 6 D P ducta, dat Les Z D momencum expolica porrionis Semicylindri respectu
  18. rangentis in L, hoc elt F A Hig. F. 1e
  19. 35. Fx hac veroSemieylindri portione, auteramus primo eam istius partem
  20. quae quadranci FYZ tig. 5. insistir, (hoc est, quadranti F Cib fig. X. Vel 7.) eu-
  21. jus magnicudinem primo, deinde momencum, sic invelligamus.
  22. 36. Ouactrantis F YZ Hi8. 5. cenrum Bravicais, d recia YZ, distat Z ; ad.
  23. eoque ab F A diltabir : D =7; quae distancia (cum sie alcicudini suver idem
  24. Pravicacis cencrum aequalis) ducta in balis magnicudinem S D P, dac porcionis tivic
  25. p
  26. quadranci insistencis magnicudinem, sD P = + D, vel 3
  27. 90
  28. 4, ∞ D2
  29. 37. Si autem incellisatur haec porrio (quactranri K YZ fig. 5. insistens) plano
  30. Y2C0 abscindi, ee sic Cuper reliquam parcem replicari, ue cum ca compleat Cy-
  31. lindrum quadrantalem: F’acta hac replicatione, tanto ulera Y constiruetur ictius
  32. replicatae partis centrum sraritaris, quanto prius cira conlticutum crat: uc patet.
  33. 38. Momencum veco hujus Cxtindri quadrancalis, sie habetur; Cenorum eravi.
  34. catis quadrantis YZ C. fig. 5. distat ab AF, ∞ F=D, (quod modo oltentum
  35. Cst i 26;) quae itaque esE distancia ceneri gravicatis quacrantalis Cylindri (super
  36. YZC constituri) a plano e F A: Oux quidem distancia in quactrantalis Cylindri
  37. magnicudinem is D P ducta, dac D + s D P ejuldem momencum respectu
  38. rectae FA.
  39. 39. Hinc rero si auteramus momencum porcionis ance seplicacionem, lactam,
  40. 1 D P (uE supra 34.) manebit a D = 1i0 D. P, sive 26 3 D, aug
  41. 84
  42. mentum momenti ob promorum gravicacis centrum parcis replicata. Ouod qui-
  43. dem momenii auxmentn, per 3
  44. dirisum, dac 26D -39
  45. AD ∞ replicacae parris maenicudinem,
  46. 96
  47. 72F = 7 Z D, mencuram promotionis cencri eravitgiis:, Cujus
  48. CB CLIS.
  49. 24 ~ = 32 7 D est ceneri pravicaris parris lreplieata distancia )
  50. itaque Temistis 26D = 37
  51. 15F
  52. medio: Dux quidem _ ex ; D auteratur, quod restac =
  53. vel
  54. 15P = 32∞
  55. L 2
  56. 2D
  57. 3P = q. D =3 D, est ejusdem centri distancia a plano a F. A. Aique Haec
  58. denum dillantiu, in J E. a P p maenuudinem ducto, dix 5 P 32. 2, D
  59. sire 136 D P = D, expotia porcionis quadranti F YZ insistentis momentum,
  60. respectu rectae FA. Duod 35. proponitur inquirendum.
  61. 40. Hoc ixitux momentum, ex 2 D X momenco corius portionis semieslindri,
  62. ablacum,

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. 526. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0546?run=74