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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. 719

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. PFOD.XV. DeCalculo Centri Cravitatis.
  2. Fes respecta rectae FA, momentum Scctoris B CB A, elt
  3. 23 p., e iplius F18.
  4. BCA, 3a = 25 pr. FC speciacim, corius Semicirculi ADa, momentum sire
  5. respectu ran sire respectu T A, (PTOPtCE a = 3P, _ 5 =0,) est : R2 P.
  6. ERque (per 5 ee S hujus) Trianguli BBC, Cencrum gravicatis in C. V, ejus.
  7. que d C. Cencro distancia ZC V = ZN. Adeoque d ra, R FZ X; proue intra S
  8. prave Cencrum tueric; (nempe F Z a si lupra; R - Z x si intra Cencrum;)
  9. HIOc est (DrOPIeF N = R - v E supra Centrum, e x = v = P E intra C entruIM,)
  10. uiroque casu, 3 R =32. Adeoque ejuldem à T A distantia, R F Z N = 5 R + 3V.
  11. FIt autem (ut supra, GF,) magnicudo Frianguli BBC = s N; (hoc elt
  12. 5R = s2 si Tupra, rel 5u - s R si intra Centrum.)
  13. Ouod ductum in Ceneri graricatis distantiam a 7 a, R + Z _ =3 R - 20; exhi-
  14. bec ejuldem, respecta rectae ran momencum s.X R + 3, 5 ~7 - 3
  15. 2v: HOC
  16. 230 =750 R + 258, vel =5o + 7 50 R - 20V. prouc lupra inttave
  17. Fuerit.
  18. Idemque ductum in ejuldem d F A distanciam, R = Z ~ = = R f 2V; extribet
  19. ejuldem BBC. Frianguli momentum respectu rectae L A, 5 V R F 35 v; hoc ett
  20. R2 + 50 R =250
  21. Fuerit.
  22. vel
  23. =50 R + 25V
  24. Dront supra intrare Cencrum
  25. Aut etiam (PFOPter Aa AB, AV; hoc est 2 R, c, v; continue proportiona
  26. les: adeoque 2v R = 0 = 5 + v2:) Ilie quidem 5. R = 35 0 X = 25 vet
  27. =55R + 350 R + 25
  28. Deou supra intrare Cencrum tueric hoc Frianeulum.
  29. (Acque hic monendum duxi; quod oppido nocandum velim, ne sic opus idem
  30. ExpIUS RCPetCrC: Hlanc reductionem in sequentibus saepistime occurrere. Nempe.
  31. DFODTEF 22R = 0 = 5 f 2; quocies occurrit c2 vel 2; pro c substicui 2V R
  32. etu pro v, Tubstitui c = 5, hoc elt 22 R = s. Ommino enim expedire comper-
  33. cum habeo, uc unam aliquam Formam de signandi eandem quancitatem adhiberem;
  34. ad quam aequipollentes aliae reducantur quum opus fuerie; ne Cymbolorum rarie
  35. tas contutionem pareret. Ouod memineris relim, ne, in reductionibus a nobis
  36. Tubinde crebro taciendis, aliquando haereas.)
  37. Arque hoc Prianguli Momentum, respectire Subtractum Addicumre, (prOnE
  38. supra Centrum intrare Fuerit,) Momento Sectoris BCBA, (nempe, a R2 L Z5 B
  39. respectu rectae ra _ a R = 3s R respectu rectae F A,) exhibet (ueroque catu)
  40. Momentum Segmenti BB A respectu rectae 28, a R - s R + 5u R + Z5-
  41. eK
  42. FsVR F= s; e semilesmenci BVY A, Za R = Zs R = Z5VR + 353 = = e R=
  43. FE5VR F 3s: Et respectu rectae T A, Momencum Sesmenci BBA, a R =sR
  44. -SVR -
  45. S = e R= = sVR = 35; e semilexmen BV A, ZA R = 5R
  46. F35VR - 3 5 = Z e R = 3SVR - 55
  47. Oua quidem momenta, per magnicudinem scementi BB A = C R L 5V, aue
  48. semiscomenri BV A = Le R = 350, (respectire,) arila: extibent segmenti,
  49. aut semitermenti, distantiam d r a, R +
  50. etam,
  51. 3CR F 3 5y: Adeoque illius altitudinem (uPTA CeNIUM C, auF C D sC.
  52. 3eR F 359 hoc est
  53. 2.S
  54. BaR = 3sR. F 3SV. BE Tupra rectam BB, seu BV,
  55. 0.
  56. L
  57. BCL + 350
  58. 5ta= 3544350,
  59. Atque

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. 719. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0739?run=74