Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[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. 886

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: 0.84.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. f18. 199. PNF vertus F
  2. De Calculo Centri Ceravitatis. C ap. V.
  3. 2 a2R
  4. i Focest, (propter lienum =, prevalens; cs
  5. urique, hoc casu, a2 semper plus quam 6 R 2; non porest enim a in fine circulacio.
  6. nis, minor eltè quam Z;) diltantix a P MF vertis C, = 2 2 R = 2 a 2 X
  7. quibus omnibus, exponetur a in tine Circulationis Prinme, per X; intine secunda,
  8. Per 2P; Terria, per 3P; et lic deinceps.
  9. Pro Circulationibus Dimidiis, quae incegram Circulationem non cerminant;
  10. (puran pro una, cribus, quinque, eC.) propter s=O, _E V = 2 R; CTUNE MaBMI-
  11. rudines (uE prius) ∞ 2; MOmentA reSpECtU PMF = Ca R + a
  12. PME VerTISF, (2 R+ F 2a2 R
  13. 3
  14. . In quibus exponetur a, in fine Semieir.
  15. culationis prima, Per LP; TerFIX, per 3 D; quinIX, per 3X; et Sic deinceps. A.
  16. deoquelignum F, in hoc calu, semper praeralet: proprer Ouadratum, Semiperi-
  17. etie
  18. Pro Circulationibus Ouadrantalibus, qux Semicirculationem non terminant,
  19. (puta, pro prima, terria, quinta, _c.) PFOPTer cum S= R, proprima, quinta, no-
  20. na, _c. Seds= - R, procerria, Seprima, undecima, ecc. tum v = R in omni-
  21. bus: magnicudiues crune (uc pcillo) S. iMOmentA respeCtuPME, = = 3a R
  22. =2 R. + == Pa; distantIA A PHIE, vertus F, == 12 R, + Ba= R; nempe
  23. pro prima, quinta, nona, ecc.. In quibus exponetur a, in tine Ouadrantis primis
  24. Per =D; quinci, per ZP; noni PerZP; et lic deinceps. Fc Signum F, Praeva-
  25. lec: Propter quadrarum Arcus Quadrantalis, majus quam Duo quadrata Racii. Sed,
  26. pro tertia, seprima, undecima, etc. (proprer scontrario lieno exponendum,
  27. seu s = = R,) Momenca erunc. + 6 Xo - 3 a 2 P
  28. F+2R3 -6a 2R
  29. 3
  30. 2X7-
  31. ∞3 R; Dictancia,
  32. ; adeoque (PrOPIeT a, interprecandum Bes, 3 P, 3 P, 3 P, C.)
  33. signum = praeralebit; cruntque tum Momenta, cum Distantia, versus C.
  34. Sin libeac singulos quadrantes Peortum perpendere, (non, ue hactenus, incho.
  35. audo à princixio, omniaque cories reperendo quories iveraco deseribunur;) illud
  36. lic tier.
  37. DePrimo quadrante, M F F. MI, jam ostensum est, magnicudinem cAc ∞ 2, hoc
  38. est (PrOPIeT a = 4 2,) _s R P; MOmentTUM Respectu PMF,
  39. 32R + Rrp
  40. 26P; distancia centri pravicaris d PMF vertuSF,
  41. =768_3 + 24 _ ∞
  42. 2 R 5 = a2 Ra
  43. 124 +6a
  44. Magnicudo Primae Semicirculationis, NP L. F. MI, eA = i HOC C (PrOpter P, d
  45. s AP: Momentum respectu PMIE.
  46. versus F, . 48 nt 2 P. p.
  47. 6a F a R - 24 R3 R2 D2
  48. 248.i diltantia
  49. Ex hujus itaque Momento, si subducatur Momencum primi quadrantis,
  50. 32 R5 = R+ ∞
  51. 2623
  52. spectu PMF.
  53. i Habetur Onadraniis secundi M E. FM, Momentum re-
  54. 96 N = ab ex- 9 P. p. + 2 p. P
  55. i Adeoque propter mS
  56. nicudinem
  57. 88C

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. 886. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0906?run=74