Leibniz Legible

Machine transcription of the Leibniz Nachlass

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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. 392

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: 0.77.

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

The machine reads it as

  1. LL L LLAI ACL LSCA
  2. PFOD. L. IX.
  3. aequalia, eam quae est F ad +3, vel 3 2d5. Ouia DeMDE L, 23, 23, vel 3, 3, 3
  4. lunc Arichmerice proportionalia.
  5. Pariter, seriei lubquartanorum cubi, vel (quod tancundem est) radices biqua-
  6. draciea seriei cuborum vel certianorum; rationem habebunt ad seriem A: qualium
  7. ut 4 2d7. Cum enim series (ubquarcanorum rationem habeat in Tabella L ad F L
  8. vel 4 ad5: eorum cubi rationem habebune (ad seriem tocidem maximo aequa
  9. Lium) uc F ad F3, vel 4 2d7. Ouia nempe F, F4, 2Z, 237 vel 37 43 2, 3
  10. lune Arichmerice proporcionalia, licur Unitas, Radix, Guadratum, Cubus, ecc.
  11. Tune Greomerrice provortionalia.
  12. Et similicer in porellacibus magis adhue compoliuis; pura Radices quadratiex
  13. cuborum seriei Cubquincanorum. Itam seriei subquincanorum conrenit ratio L ad
  14. 22, vel 5 ad 6; ergo eorum cubis conreniet rario F ad F3 vel 5 ad 8, (quia nem.
  15. DE 2, X3, F3, 23, vel 3, 5,3,3, lune Arichmerice proportionalia;) et corum
  16. Radicibus quadraris, ratio F ad F,3, vel 10 ad. 13, (quia nempe F 3 est medium
  17. arichmeticum inter x ad F3, Tunc enim 1, 1 13, 2 6
  18. = 13) vel 183 10, 18(= 3
  19. Arictmerice proporcionalia;) Vel eriam cum radices Ouadrariea subquineanorum
  20. lint series subdecimanorum; cui convenic ratio 20 ad EF, vel F ad F o: Farum
  21. radicum Cubi rationem habebunt eam qua elt F0 ad 23, vel F adt 2 1: OUIa L, L 107
  22. 2133 2B, vel 18, 15, 13, 18, sunc quatuor cermini Rrichmerice proporrionales.
  23. arque eodem modo, in seriebus aliarum P’oceltatum urcunque compolicarum.
  24. carundem ratio ad seriem aequalium, inrellisabitur. Adeoque
  25. P R O P. L TZ
  26. x incellisatur series intinita quancitatum, à puncto leu o incto.
  27. carum, e continue crelcentium pro ratione porestaris cujulris
  28. ex simplicibus (PrOP. 44 _ 54 memoratis) composiex; erit totius
  29. ratio ad seriem totidem maxima aequalium, ea qux sequieur in hac
  30. Zabella, Nempe
  31. Theorema.
  32. SCTICI
  33. Quactatic
  34. Beccii
  35. S C
  36. ALISee
  37. 13
  38. ve e
  39. 3
  40. 1.
  41. 131
  42. et
  43. e s rre
  44. Bote
  45. Cubiex
  46. Biquadrat.
  47. Supertolida
  48. Sencanae
  49. Seprimanae
  50. Octaranae
  51. NOnanX
  52. Decimana luo l1e. ve l 13 ( V lV
  53. Ex sic deinCcBS.
  54. re
  55. 22 22
  56. PROF

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. 392. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0412?run=74