Leibniz Legible

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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. 735

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: 0.76.

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The machine reads it as

  1. PFOD. XVI. DeCalculo Centri Cravitatis.
  2. E respectu iptius F A, 30 P2 ~ - 852 P~ + 152V 4
  3. 13S=RF = 2 52 ~Z-
  4. 352 V R = 354.
  5. 4
  6. 33VR3 = 852 R2 + 65 = VR = 852 = EV R2+
  7. Adeoque, momenta per magnicudines dividendo (puta, Ongula momenta, per
  8. magnicudinem Ingula, SV2R F 55 2~ = 5VR 2 - 55 2R 5s E V, PrOP. praced.
  9. S R. inventam,) habetur distancia Ceneri gravicatis Vngulax B V A aciem ha-
  10. bentis Aa, (adeoque e Sectoris, vel Semisectoris correspondemris,) a ra,
  11. P + 80R: = 4 5 R + 4 59:
  12. TA, R-
  13. 8u R. = qui R + 45
  14. 8uP: - pe t 45 80N - 4. Pe + 4 + R - b
  15. Vel (quod eodem recidit) a T a, R
  16. 20R + 3s
  17. quk = a5 Vi d DC
  18. 6R 30
  19. q0R 45
  20. 4 R. + 4b + R - B-
  21. 6R - 30
  22. qu + 4s
  23. 3h52
  24. Boxe 4Rt q0
  25. FA,
  26. 360
  27. 4uR + 4 quR + 4 uB 4 R + 4B
  28. 4R + 4B R + v.
  29. Ex (restiuendo magnitidines) momentum (respectu iptius BV) Sermenei
  30. Sphaeriei BBA, 3V P2 D - 5 52 RP-
  31. 547
  32. 24C; Semileomenii BV A, SVR2~
  33. 1o: de corresponctentis Vngula, J V R3 - 3 52 R 2 - -1 54
  34. Sed ee poltune haec eadem, sic alias haberi.
  35. Cum enim (ur oltentum elt proP. Praeced. P. V.) Semi Ouadrata rectarum BV Fie
  36. d huic parallelarum semilesmentum A V B complentium; linc rectis VB, dc. 164.
  37. (tig. 264.) Parabola portionem A V B complentibus, proporcionalia; d quidem
  38. iplIS VB, Cc. in E R ductis Sigillatim aequalia; acque in eildem a T an T, A, DC
  39. distanciis: Eadem erunt respectu ixsarum ra FA, DC momenta Semiquadran-
  40. calis Ongula (quam illa complene Semignadrata) Semisesmento AV B insistencis;
  41. acque Prismatis porcioni Parabola a Ve insistentis, quam illa complent parallelo-
  42. 1
  43. a
  44. gran
  45. Ci, e 73) ab iplis 7 an F A, D C, (planis) respectire. Hoc est (ver S hujus)
  46. quantum inde distac iplius porcionis Parabolae A V B cencrum graritatis V.
  47. FIt aucem Semiparabola AAC magnicudo (per 6hujuS) ZACXC A = Z R =
  48. ejulque Cencri graricatis ab Axe C a distancia (per 8 hujus) SAC. = 8 R; adeoque
  49. 2 7 a, R F 3 R = SR; d T A, R = 8 R = 8R. Adeoque iphius momentum respectu
  50. DCB, est = R3; respectu ra, in R3; respectu F A, 13 R3.
  51. Icem Semiparabolae Bab, magnicudo ? abx bB = 2 V
  52. 3
  53. 24
  54. 3X: Centrique
  55. Pravicacis d Ca distantia 8bB = 8. N: (adeoque d ra, P L3 X; a F A, R FB; prouc fuerit
  56. Tupra intrare rectam C B.) Adeoque momentum ejus, respectu ipsius C.0.
  57. ei Cui
  58. addicum momentum parallelosrammi V. C. B B, hoc est (proprer PB, == _, 8 C b = X -
  59. + s
  60. Cenrique gravicatis d C a distanciam, 3BB = 3 N: )
  61. extribet porrionis V BDC. momentum respectu iptius C. A
  62. 2 52 N
  63. 2. Hujusque propierea portionis V Ba C (propter
  64. B N a d
  65. magnicudinem v R - = =) distaacia Cenri pravicaris a C. A, est 12x R: 4 v
  66. 6 R2 - 3 ∞ 2
  67. 22. - 4 4 V. Ade0q; d 7 a, R.
  68. 6N2 - 342
  69. R2 - 3
  70. 12R - q2 Vi d TA, R F 12 R - 4
  71. (DTOut
  72. supra
  73. A
  74. 160
  75. 4V R + 45
  76. 2 X R2 -

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. 735. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0755?run=74