Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 182

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: 0.80.

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

The machine reads it as

  1. HeC
  2. A L G E BR A. CaP. XL. 1.
  3. =ccc = V: BbbBBB = CCCCCC:
  4. = cec. + V: BbbbbB +CCCCCC:
  5. BBbbbB.
  6. aq
  7. BBBBE
  8. Adeoque, cum prior aequet cec; volterior aquabit =
  9. cec
  10. P intex quas bBb
  11. est media proportionalis; ejusque radix cubica aequabit ..)
  12. Et consequenter; valor ipsius a (= c -2):
  13. VC. =CcC = Y: B0bBBB =CCCCC5. - 1C. = c5c. = V: bbbbbb = CCCCCC.
  14. EAtque haec una earum, quae diei tolent Reculae Cardani. Hujus solurionis,
  15. haec exhibe in Numeris, Exempla.
  16. 20 =6a. + aaa. a = VC: VY108 F 10. =YC. Y108 = 10. = 2.
  17. 26 = 9a = aaa. a = VC. Y 106 + 13. = YC. Y196 -13. = 2.
  18. 3 = 6 a + aaa. a = Y C. Yo F 3. = YC. Y 3 = 8. = 2.
  19. hoc est, a = Y C. 2 + 3. = YC. 3 - 3. = Y5. 8. = 1c. L. = 2 = 2 = L.
  20. ZIII. Aquationem aa a - 366a = = 2Ccc.
  21. distinguie ille in tres calus: Prout c est Major, auc qualis,s aut Minor quam B.
  22. T. Si c sic major quam B:
  23. Tum, Bolico a = e c. +6b
  24. Adeoque Hececeet3bbeecet3 bbbbect bbbbbb- + aaa
  25. Fit
  26. HIoc est
  27. =3bbceec = 3bbbb ec = - 3bba: = +26cc.
  28. e
  29. cecece +bbbbbb = = ZCCCCCC.
  30. Ceeece - ZCCCeCC== - bbbbbb.
  31. Additoque (quo compleatux quadratum) c55C5C utrinque
  32. Cecc = 2CCeCC= CCCCCC = = BbBbbB =CCCC56.
  33. Vet (Proxter B minus quam C) pOLico + d d d a a d = + cccCCC = B83BBb.
  34. eccecc = 200ceeC +CCCCCC= = ad d d d d.
  35. Fc raclix quadratiea, cec =ecC = d d d. Hoc et eee = Ccc. + d d d.
  36. Ft C = YC. CCc + add. = Y C. ccc = V: CCCCCC = bbbBbB.
  37. bbbbbb
  38. Tum, propter ecc. bbb. ec. concinue proportionales: Adeoque e. B. . Co.
  39. enicis jam valoribus ecc X BbB: otendic db bb = ec0 - Y: + cececc - 00b lbb:
  40. =0c0 - 4 ad.
  41. ee
  42. Adeoque
  43. (Nam A
  44. mulciplicetur in

Cite

[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis, fol. 182. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851708439:0206?run=74