Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 66

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: 0.88.

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

The machine reads it as

  1. E N A F U R A
  2. 2 Propositio.
  3. Ad cognoscendam naturam dt constitutionem prioris aqua-
  4. tionis propOlIex, Formemus per mulciplicationem harum dua-
  5. rUI X X bX- [ CC∞ O _ X -- b ∞ O hanc aequationem
  6. X3 X = bb x = b56∞ 0. Suppolico autem cc majori quam bb,
  7. LCC
  8. ipla eandem habebit Formam acque primma propo(IEa X3 X L MMV
  9. n3 ∞0. e per conlequens ejuldem erunt natura d constitu.
  10. tionis. Fiat igitur illarum collatio, d per comparationem tertio-
  11. rum terminorum habebimus c0 =bb m m. Unde constat, si
  12. veraradix b cognoscitur, cc Fore aequale mm Lbb, e conse-
  13. quenter x x. bx- L mm f bb ∞ 0. Qua aquatio duas reliquas
  14. radices respicie, ac cum rera radice b concurric ad Formandam
  15. aequationem propolicam.
  16. Praecerea, acta comparatione ultimorum terminorum, habe-
  17. bimus n3 ∞b66. Unde lequitur oc esse aquale 7; d COgnItd
  18. rerâ radice b, hanc aequarioneim ax L bx ∞0 similiter
  19. duas religuas radices respicere, ee cum rera b concurrere ad For-
  20. mationem propOlIEX _quatIOMIS.
  21. 2 Propositio.
  22. Dro secunda aequatione propOsita Formetur rursus per mulei-
  23. plicationem duarum x x - [ b x- f- 56∞ 0 _ X - b ∞ O aequatio
  24. X3X - bbx - b56∞ 0. Supposito autem bb majori quaim66, ha-
  25. L60
  26. bebic illa eandem Formam atque secunda ∞ 3 F -m M X = n3 ∞0,
  27. ee per consequens habebune eandem naturam e consticutionem.
  28. Fiac iBIEUE COlIaLIO, _E Cx COIPAFALIONC EETEIORUIM TEKMINOTIIM
  29. habebimus bb -c0 mm. IInde constat, c0 esse ae quale bb -- MM;
  30. et, cognita rera radiceb, aequationem hanc xx L bx. F bb- mm0
  31. duasreliquas radices concernere. POrro, ex comparatione duo.
  32. rum postremorum terminorum, habebimus n3 ∞ b00, unde se-
  33. quitur ec esse aequale; e cosmita rera radiceb, hanc ae quatio
  34. nEM X X L bX F similicer ad duas reliquas respicere.
  35. 210

Cite

Ps. 2, fol. 66. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0090?run=74