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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. 736

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: 0.73.

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The machine reads it as

  1. DeCalculo Centri Cravitatis. Cap. V.
  2. F18. Lupra intrare Cenrrum fuerit.) F.L ( resticuendo Magnicudinem) Momencum ejusdem
  3. 264.
  4. F.
  5. YBDC, respecta r an ~ R. - L, ∞ 3 + 2
  6. 5.∞3 F
  7. 2A
  8. 2 = x 2
  9. e
  10. 4 R
  11. un ee respectu FA, _
  12. Alque haec porcionis Y BL Cmomenta respeclira, dempra adlicare (prour Cuxra
  13. intrare Centrum C contiserit V punctum,) respectiris Semiparabola AAC (rC-
  14. spectu rectarum +a, T A,) momentis, i R3, iE R 3: exhibenc Portionis AV B, mo-
  15. mencum respectu r an I R. F ~ R 2 L = ∞3-
  16. xR2 + 3 ∞3 +
  17. R2 = ~2
  18. c
  19. = a2; e respectu F A, E R 3 F
  20. Reductione aurem facta, valorem iptiue a retticuendo, reperientur haec momencis
  21. Tuperius detignatis conrenire.
  22. FA enim N = = R F V; prout supra intrare Centrum concigerit; (Hoc CA,
  23. x = R - v, lupra Centrum; rel x = = R F v si intra Centrum.) Adcoque
  24. FN R2 ==- R3 = V R2
  25. =v=R = 203. HIOC CE ( DEOPtEF V2 = 2VR = 5, e V3 = qVR2 = 2 5 R-
  26. 5227) =3 ∞3 = + 3R3 - =A2 = 35 R + 152V.
  27. Et uiroque catu (hoc ett, AvC N = F R = v, SvC X = - R F v,) est N = R
  28. = 2.V R = v2 = R2 = 52. Adeoque = R = - x
  29. =iR
  30. +
  31. R2 +
  32. 4
  33. Adeoque momencum Porrionis ATB, respectu ra, I3 R Z V R2 + 1 403
  34. eR
  35. 4_ v2 = 20 R s R + s. v + -
  36. ei
  37. pPrFiro +2R= x
  38. 4X
  39. 4i e respectu Y A, 1 R F
  40. = 30R - 3 s R + 352 -
  41. Acque haec momenta (. propter Prismaris ipsi A V B insistentis altiudinem 3 R)
  42. ducta in Z R; exhibene iltius Prilmacis momentum, hoc est momentum Semigua-
  43. drantalis Onoulae Semiscomenio Circulari A B V insiltentis (aciem habentis A a)
  44. respectu ray ZV R = 6s R= + 352V R + 354; et respectu L A, 5V R3 = 6S
  45. F352VR = + 5A. OEpriUS.
  46. eCenri cravicaris discantia, tive d re Ciye F A, Eve d BY, elicietur,
  47. UE PEIIIS.
  48. Porco; Coni incegri BB. (Prianguli BVa, cicca A a convertione de teripri,) mas.
  49. R -
  50. vie. 153, nicudo (per proP. praecedl, 55.) P ∞ = 2 , P; seniconi, 12 S2 P; DN.
  51. Gulaque 5 S2B = 3 52 p = 252v.
  52. 6R
  53. crariracio distantia (per 5 hujus) 2 2 a, 3b =3 R = 3V; d F A,
  54. = R +
  55. Ouae quidem distantia, sin magnicudines ductae, exhibene momenca, resvectu
  56. iphils r oy Coni = f + R = 4u R + V, . ∞ - 4 R - 2V R - 5
  57. 60.
  58. K
  59. miconi 4. = 2VF
  60. 8R
  61. 52P; de
  62. 26Xs2 P; Serhiquadrantalis Ongulam 5S2 B2 = 2 52 R. -
  63. 252yR = 854.
  64. Et, respectu iptius TA, Momentum Coni L S BF -
  65. Semiconz, 4. 27 = 2v R f 55
  66. 48R
  67. S BR - S2B25 1
  68. 2B2
  69. 8k
  70. +A - 20F35 58
  71. 24
  72. s2∞; Vneulaque 60 R - s2 v R + 55a =
  73. Aeque

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. 736. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0756?run=74