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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. 850

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: 0.80.

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The machine reads it as

  1. De Calculo Centri Cravitatis.
  2. Cap. V.
  3. Eis. 177. que magnicudinem 5 P= (sD, F. inventam) diritum; exhibet hujus distantiam
  4. cencri gravicatis ab Ae ZP =35 R. Or modo dictum est.
  5. Similiter; Cum quae portionem Ab spectant, sinc Omn.
  6. 1C=
  7. 2R
  8. ac
  9. 3X = 3R2.+
  10. ∞: = 1: R - 1 3 X R. - 3 . 7. t psi Cut mode
  11. octensum est:) Frunt Omn. 2 c2: -
  12. R
  13. ac
  14. 3t
  15. = 2 R3 + 3 X R= + 362 X +
  16. 2 X - 30ac R = 1 28 R +64X R f BC X R. + 95X. Quod inque est
  17. DX
  18. d0R
  19. Momencum Ongulae AB, aciem habentis F A, respectu Ra; vel etiam (ob alii-
  20. cudinum ec distantiarum reciprocationem) aciem habencis A an Momentum relpe.
  21. etu T A.
  22. TIoc itaque Momentum; per Ingulx AB, aciem tabentis Y A, magnitudinem
  23. 3C2 (5D, P. inrencam) divilum; exhiber ejusdem ab A a distantiam cencri graricatis
  24. ac2 32R, 16X N, 2CX
  25. 363X
  26. 2VR 15C~ 250V 150 ZOVR; Vel (PrOPteT 2 V R = 02,) a-
  27. 32R, 16XP.
  28. 267 p 3CX: HOC Cs, 3Dac R - 128 X +647 P. H 80 x N + geex
  29. 25CV F5CV τ5V 2OL
  30. 6OcVR = = 30C R
  31. Tdemque Momentum, Der Ingula AB, aciem habentis Aa, magnitudinem,
  32. 24c - 3 R2 + 4X R = 3BX = 2ac - 15 R2 + 5X R + 3 vX (6C. invencam)
  33. divitum; extibet hujus distantiam ceneri gravicaris d F A,
  34. 30403 R = 128R3 = 64 X R + = 8C2 X R + 9c a Y
  35. 180aC R = = 480 R 2 + 240X R3 = (60VX R =) 3OC2 XR.
  36. Adeogue d = a, 360ac - 30ac R - 832. R + 426XR + 525xX- B ex
  37. IBOnCR = 480R3 + 2407 R3 = 3002 2 R
  38. a bV (subducendo ex A V = 2 ejusdem a F A distanciam,)
  39. 280acVR - 48OVR2 + 242X R = 30~2X R - 30aC R + 12BN,-64XR - 8C.X R
  40. 9647
  41. 280aCA -= 480 + 240xB + 30C X B,
  42. vel (Propter 20 R = 0
  43. SOac R 240C R f +L2C7 N f6027 647R L X28X
  44. 180acR - 480R. + 240XR = 3Or2 X R
  45. Et conseguenter, ejuldem momentum respectu ram (magnicudine in dictanciam
  46. ducta) erie 3 SBaC. - 30ac R = 832 R + q26 N + 528 X = 90t. Ouoderi
  47. 90R
  48. an (proprer alticudinum et distantiarum reciprocationem) est momentum Ungu-
  49. atis ra respectu Aa: Adeoque (momentum illud per hujus
  50. magnicudinem diridendo; hoc est, per 45 R = ZC 2, ut SD, P. ostenditur,) hujus
  51. distantia ceneri graricatis ab A eu est
  52. 360aC. R = 30 ac) _ - 832 R + 426X R 2 + 5202 X R = 96X
  53. 360CR3 = (60cVR2 =) 30c3 R.
  54. Similicee, ejuldem Ongulae A b aciem habenris Aa, momentum respectu BY,
  55. (magnicudine in distanciam ducta) erit
  56. 60ac: R = 2405: R. + L12C27 R + 6c1x = 64X R + 128R. Ouod i.
  57. d0R3.
  58. que (propter alcicudinum ec distantiarum reciproeationem) est etiam Momentum
  59. Ingulae Ab aciem habentis bV, respectu Aa. Adeoque (per magnicudinem
  60. AC~, SD, F. inventam, dividendo;) eric hujus distancia centri gravitacis ab A a,
  61. 60 ac R - 2400 R + 112c. x P. + 60 2x - 64 x _ + 128 .
  62. 120CVR60c3R.
  63. upercll

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. 850. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0870?run=74