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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. 777

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: 0.78.

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The machine reads it as

  1. le
  2. PFOD. XVIII. DeCalculo Centri Cravitatis.
  3. ErGO; Omn. Za R 2 = 35 R2 + 3 5V R = ; 53: HOC est, Momenum Solidi FiB
  4. ABR, respectu F A; Clt, 242 R - 385 = R2 - 3VR3 = 55 = v X.
  5. 269
  6. Adeoque, propiex iptius magnicudinem + a R = 2 s R, (per SH. ) Distancia 270.
  7. Ceneri Bravicatis d T A, P - 80R - 45 R + 45V
  8. 20, R f. 80 X - 4 5R+ 450 - p + 4v R + 452
  9. da2 -95
  10. cf
  11. P-408+ 450
  12. Spectu ra, momencum, : a 2 R2 = 18 s R 2 + 3, V R= + 52V R.
  13. Si aurem Solidi hujus ABK momenta, ex respectiris Semicylineri A Z Ba mo-
  14. mentiS auFCTANEIE: Relinquuntur respectira Solidi A B Ba momenca. FIt autem
  15. Semicxlindri hujus magnicudo (ex ductu Semicireuli AD a = = RP, I aB = a,
  16. a P; Centrique graricaris diltantia d TA, vel ra, AC vel C a = R. Adeoque
  17. iplius respectu J A, vel ra, momencum, =a R2~. Onde subductis, Solidi ABK
  18. momencis, modo tracitis, a = R = - 8s R2 - Z V R3 - 3 5= V R; _ = a2 R -
  19. 385 R 2 = 3VR3 = 3s V R: Relinquitur Solidi A bBa momentum respectu TA,
  20. a R2 P - = a R= + 565 R = 3y R3 f 5 52 VR; e relpectu ra a R 2 2 - = a
  21. = 38S R2 = ZV R3 - , s= V R: Fujusque propterea Distancia CenEri GraVI-
  22. catis (proprer magnicudinem L a RZ = = a2 R + à s2 R, per B R.) à FA,
  23. R + d~R 4 5 R + 4. 5 V
  24. da - 9a F 952
  25. 4V R = 452 V
  26. OaP = dC)
  27. =R +. +2 R + 45 V
  28. 92 X = 9ef id 20,R.
  29. 80- 4 s R + 4 52 2
  30. daD - 9a + 95
  31. Si vero eadem solidi ABI momenta, ex respectiris seomenti semiestindri
  32. AKBB, auterantur: habencur respectira Nomenta Solidi, ABB. FR aurem
  33. Tegmenri semicirculi A B V magnitudo = e R F Z5V (Der S F. PrOD. 25.) quae
  34. ducta in bB = a, exhribet maonicudinem segmenti Cylindri AKBB, : C a A
  35. FEa50: Cenrique gravicaris diltancia (urpore eadem quae sexmenci demicirculi
  36. ABY, Per SC. prOB. 5.) a FA, R= 3C R + 35∞;
  37. Sck + 350
  38. Adeoque momentum respectu FA, = ea R = (= = a R = = = a 5 R =) = a 5VF
  39. = = a 5; respectu 7a, =C a R = F = a 5VR 3 a S; (eadem quae plani A BV mo.
  40. ductis respectivis solidi ABIE momencis, mode
  41. ribIcIS, 2a2 R= = -85 R = = ZV R3 = 35 VR, et 4 a R
  42. 585 R= + 3~R
  43. +3 sV R: Relinquicur Solidi ABB, momencum relpectu TA, (hoc cst, Omnia
  44. a5v, sumpris 2 arichmerice proportionalibus,) a R = = a5 R + 565 R f 3~ p
  45. f325VR F3 S V R = 5 a 53; _ respectu 70, (hoc elt, Omnia a sB, Sumpris V
  46. arichmerice proporrionalibus,) L a R 2 = = a 5 R = 36s R = ZV R + ; a 5V k
  47. ==Sv R + 3a5. Adeoque (propcer magnicudinem, a a R = 3 a sR + a s: se
  48. F3a5V, per SL.) Solidi ABB, distancia Centri Gravicatis d FA, R +
  49. 8V R -4 52 R2 F 4 S V R - T2a5
  50. Da R = 1BaS R. F 9s2 R ( 28aS∞
  51. A
  52. 4V R 2 4s2 V R = +2 a 5
  53. 96 R F. 18aSV
  54. ro,R
  55. 8V N- 4s R + 4S2 VR - +2 a 5
  56. 92 R - 18a5R + 9 5e R f. 18a52
  57. Fommone Rra Solidum, (.Sive SpectetX uE ABBO, SiVC UL ABB, perinde est;
  58. momentum habet (prOpter a = = P, v = 2 R, 5 =0,) respectu P A, i5 R 24
  59. f3R2; respectu 7a R D2 - 8 Ra. Centrique Graricatis distaneia a Y A,
  60. est. R + O4 R3
  61. 982i d 20 R.
  62. 64 R3
  63. 22
  64. PorrO; eadem ABV Segmenta plana, dollaun Ab R complencia; leu, Si 1
  65. BCR = 35V, (per S F. prOP. 25.) ab Aa, diltant ipsis bB = q arcubus arithine.
  66. rice proporrionalibus: Adeoque corundem omnium, hoc est ipsius AL K Solidi
  67. Momentum respectu Aa sunt Omn. Z e a R + Z a5~; seu Omn. 1a R = 3a5 H
  68. F Za50: Sumpris a arichmetice proportionalibus.
  69. Sune aurem, Omn. a: = 5 a (Der PrOP. L.) Adeoque Omn. Z a R: = 3 2 P.
  70. Et Omn. a S: hoc e, Omnes s, nilineum a B. complentes, in an coruncem
  71. tEFL

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. 777. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0797?run=74