Leibniz Legible

Machine transcription of the Leibniz Nachlass

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[Ps. 1], fol. 485

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: 0.75.

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

The machine reads it as

  1. I per
  2. 10.
  3. uadi
  4. dic
  5. conu
  6. D0
  7. e
  8. il
  9. ale
  10. DE REDUCTFONE AE OIAZIOHUM. 185
  11. Fit siC Porro de caereris Regulis, tantum, uti dictum est, omni-
  12. bus illis particularibus relictis, qua originem duxerunt ex eo,
  13. quodnecesse sic, ut illa aequationes, ex quibus Propolica aequatio
  14. produci potest, illic lint rationales, quod Polum hic non requi-
  15. sItUE.
  16. Animadrertendum quoque est, hanc Regulam se non Polui
  17. extendere ad aequationes, in quibus nec ligna radicalia, neC FrZ-
  18. ctiones inreniuntur, (quemadinodum praecedens illis eantum
  19. quadrat,) sed quoque ad illas, in quibus de radicalia siona ex Fr2-
  20. Ctionesreperiuntur, hoc tantum excepto, quod non sint in ulci-
  21. mo Termino, ue antea dictum.
  22. Denique nocandum elt, quod idem etiam sequentimodo inve-
  23. niri postu.
  24. REOVL A DRO A OV A FEONEBVS S DLMF N-
  25. SIO N V N.
  26. Duare communem dirisorem duarum equationum,
  27. 9∞0, eyy - = y - hhp - +- + r B
  28. B
  29. _ per eum, valorem iphus y; eritque Propoltaa qua-
  30. eio dirisibilis per x x L y X F B∞ 0.
  31. REGYL A PRO A OV A TEONFBV S 6 DLMEN-
  32. STON V M.
  33. Si Propolita aequatio divisibilis est per
  34. ∞ X -L y X - B∞ O,
  35. earacur cemmunis dirisor duarum aequarionum.
  36. 117
  37. S
  38. Ph9 - 5∞O, e 13. pgy + 9 9- x ∞0,
  39. L + PB
  40. a percum, ralor ipsius.

Cite

[Ps. 1], fol. 485. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175905688X:0507?run=74