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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. 792

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: 0.82.

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The machine reads it as

  1. 11
  2. De Caleulo Centri Cravitatis.
  3. Cap. V
  4. Idemque 3 a R2 f V R = Ss R= momeneum, per Ongula ABBa, aciem ha-
  5. bencis ra magnicudinem, 2 f R = f Z sB R = Z a R2 = 25 R2 = = SVR, (8 D.
  6. ProP. 17. inventam,). diritum; extibet hujus Distanciam Centri gravicaris a BB,
  7. 2a. f 80R5a5 R + s R + a52
  8. 6a R + 205 R = 25V : adeoque ab A a, : a - 80 N - 5as R. + s’ R + asv
  9. 6aK = 1OSR- 25V
  10. ejusque respectu A e momentum, 3a R 2 = Z a5 R 2 = = a SV R = V R3 = 8s R2:
  11. Idemque est momencum Onsulae AbBa aciem habentis Aa, respectu ra; prius
  12. exhibitum.
  13. Duod quidem 3 a2 R = Za5 R= = = a 5VR = V R. = 5 s R momencum,
  14. per Ongula A bBa aciem habentis A a magnicudinem = a R = a s R = v R=
  15. (Per S LL. PrOP. 17.) divitum; extribet hujus Distantiam Centri graritatis d 7a,
  16. 2V P F sR + 2450 4 a5R
  17. 4u = Bas- 8vX ; adeoque d FA, 3 R 2V R + 5. R + 2 a5y - 445R
  18. 42 das - SuR
  19. ejusque, respecta TA, Momenum 3 a P. L 3 as R - v R F Bs P2 + + d5VR:
  20. aciemre hahentis La, momencum relpectu A∞.
  21. Atque hoc demum 3a2 R = F3a 5 R2 = ~ R3 f 35 2 P2 + = a 5V R momeneum
  22. per Ongulae AbBa, aciem habenis F A, magnicudinem Z f R= = = sB R = 3 a R
  23. 45 F450 se (ED. PCOP. 27. InVenIam,) diritum; exhibec husus Bultan-
  24. tiam Ceneri gravicaris ab A en L a - d~ R2 = s2 R = 3 a 5R = a 5~: adeoque d
  25. b8: 3a-
  26. 10a R F 65 R + 250
  27. 80R 2 = 5 = R = 3a 5 R = a 5 2
  28. 10aR + 65R + 25V: Ejusque, respectu bB, momencum,
  29. Za= P2 = vX3 = 55 R2; idem quod prius repertum es momentum aciem ha-
  30. bencis bB, relpectu F A.
  31. Adeoque; Si cocius Ara Ongulas spectemus; (PrOPteT a = Z P, V = 2 R.
  32. 5 =0;) Eric Ongulae Aro, aciem habentis Pr, magnicudo, 5 R D2 = 2 R3: MO.
  33. mencum respectu r0, 3 RE ∞2 + 2 RE; respectu Y A, E R2 D2 + 2 Ra: Distan-
  34. 4 R
  35. uia Centri eraritaris a ra, 3 R F p. + 16R. i a FA, E R p. + 16 7
  36. Aciemque habentis A0; Magnicdo, S R D = =2 R: Momencum respectu 20,
  37. ER=∞2- 2 R4: respectu T A, 5E RE D2 = 2 Ra: Diltancia Cenrri graritatis a
  38. en 3 R.
  39. + R
  40. P7 - 26 X. d FA, 3 R + p, - 16p2
  41. Aciemque habentis =a; Mlasnicnco, 3R2 P; momentum respectu F r. 3 X2 c
  42. F 2 R; respectu Aa, = R2 ∞ 2 - 2 R.: DictanCIA CenIrI BraVICaTIS d FF,
  43. ∞ + 26 R.
  44. 34; ab A a + ∞ 16 R2
  45. Aciemque habeniis F A; Magnicudo 3 R, P: Momencum respectu F Z, . N. ~=
  46. = 2 R2; respectu Aa, E R = P. - - 2 R.: Diltanca CenerI GravitatIS d F~
  47. 2 f 26 X
  48. 5D i ab A0, 1∞ 16 R
  49. Fademque per se poterant, eodem modo, caleulo exquiri; quo Ongularum
  50. porcionis Ab Ba momenta prius exquirebantur; quaque inde dependent.
  51. Ex his iem sic tradicis, Ongularum portionis BB= momenca (quaeque hine
  52. dependent) haberi porerunt. Nempe; ex Momentis Ongularum tocius Frilinei
  53. AT a Cubductis respectiris Ongularum portionis AbBa restanc Momenta respe.
  54. ctira Ongularum bBZ; sive respectu iplarum ra, FA, sire respectu iplarum
  55. A∞, FY, _C. Acque ex cognicis aliquibus reliqua facile derirantur.
  56. Sed et eadem poltunt per se eodem modo exquiri, quo in iptis A b Ba Factum est.
  57. FIL MLIquE (PET SF. prOP. L7.) plani cujusque bBr, momentum respectu 7 a
  58. a R2 - 35 R = + sB R; Adeoque Omnia, 2 a R 2 - 2 5 R = a sBR; (HOC es,
  59. momenta planorum omnium Ongulam bBr, aciem habenrem bB, complencium;)
  60. Tunc iltius Onsula momencum.
  61. Sed Omnes an larcus aritimetice proporrionales, ab ipso an usque ad maximum
  62. seu rB = _y) CumEs l PEr PEOP. X. husus, ) 1 a 2. F1B0, Omn. 3a R2: = 8a = R.
  63. tcem
  64. 160
  65. 7C

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. 792. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0812?run=74