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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. 409

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. NE INTZOR UM.
  2. dices TunE 3, 2, 3, 3, 3, 3,) auc alii cuiris serici, cujus index est unirate minor.
  3. Duia reciprocarum seltetum indices negatiri his concrarii (puca
  4. 43
  5. addirione unicaris tient astrmac adeoque ratio quam habec s ad indices 105
  6. PROP. CTTI.
  7. Theorema.
  8. 151O(I. MI L
  9. F vero ejusmodi Fixura ADBB sic contimue decreleat juxta se
  10. PxOD. CTTI.
  11. lic auctos, eric racio tinita; qupDe humeri positiri ad policirum.
  12. Ecripcum rationem intiICa: Cam nePE qua ett L 4d 0.
  13. D riem qua sic reciproca directae indicem habenti unitati aequalem
  14. (nempe le L) a de Lataa
  15. e S. ZECI) cet
  16. CEsiSCI FAnAE
  17. hoc elt + 2d 0.
  18. d seriem quae lic reciproca directae inchcem laben tale Majo
  19. rem; habebit illa ad Parallelogrammum inscripcum rationem pluF
  20. quam infinitam: qualem nempe habere supponatur numerus posici
  21. rus act numerum nesatirum, sire minorem nihilo. Nempe eam, quam
  22. habec s ad indicem unitate auctum.
  23. Cum enim series primanorum indicem habeat X, series huic reciproca indicem
  24. habebit = x, ideoque (DeT PFOP. 64.) ratio proveniens exit 2 2d - L + 2.
  25. eROP. CIV.
  26. Theorema.
  27. EF ac Camodi Figura ADBB, sic continue decrelcat juxta
  28. men negatiri, puta
  29. Puta cum indices seriei Secuncanorum, Pettianorum, Guatranorum, dec. sine
  30. 2n 33 43 Cl. utate Masoico,) Meliceo Lerierum illis rECIpTOCATUI CTUNE = = 2,
  31. de propterea ratio quam haber = ad indicessillos sic auctos, puta + all 1,
  32. 2d - 2, F ad = 3, _c. major exit quam Itinia, sive s ad o; quia nempe ra
  33. vionum consequentes lune minores quam o.
  34. Acque idem conrinset, Tisllmatur reciproca seriei radieum Onadratiearum
  35. Tertianorum, Ouartanorum, Ouincanorum, etc. (cujus indices (unE3, 3, 2, ec.)
  36. vel radicum Cubricarum Guarranorum, Guincanorum, Sextanorum, dec. (cujus
  37. Ec
  38. Datet.
  39. ndiceo lune 3. 33 33 c. adte eto tele a e Celtale Masl. B
  40. 22
  41. PKOF.

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. 409. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0429?run=74