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Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 8r

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: 0.81.

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half.

The machine reads it as

  1. eo Methodus triplicium aequallatum.
  2. A X + 8Z3 1 1b
  3. ivenire methodum generalem ex uno exemplo.
  4. problema Numericum quod Dsanna judicat
  5. 3
  6. ficillimum ex his quae solvit
  7. onc
  8. 1lb - X p
  9. fiat 16v - X V Z. + 27c+ co
  10. Ergo Z r lbva- X p
  11. =DC1 +
  12. sit majoq ahuilo
  13. G
  14. et fict: H IbV - X p 4 Bb- 1X
  15. Duplex aequalitas.
  16. X 1
  17. (+ 2t-
  18. F, 1b
  19. 42
  20. Ergo 1tq e Joso 145 posa
  21. (2. 2 16721)
  22. ex-
  23. Ergoleue e ut
  24. sed non ideo raliquas licet sumere pro artitrio
  25. vventus valor ipsius7. substituatur in ejus locum
  26. aequatione Z2
  27. 1)
  28. 2X
  29. jamque purs inveniatur
  30. valor ipsius x. quod eadem arte
  31. ootentis
  32. nabus aequationibus facile obtinem potest
  33. quibus X, facile vobtiieri potest.
  34. ponatur 25 Y Hsi fie b et X S Et tam s. quam
  35. 490
  36. 2.
  37. perconendi aliquid prodesse methodus
  38. sludesor
  39. quam dicam.
  40. sume duos Numeros si quos habes, saepe autem habemus satis facientes, et
  41. ipsos resolvendeo, eue ex illis methodum deducendi id quod prae stant analyticam
  42. utrique communem; ea methodus forte ducet ad l generalem
  43. quaentuur modus datis num duobus numero invenire quadra duos quadratos, quorum
  44. summa datus; pone 34 7 esse datum, constat duos quadiatos esse 16 et g.
  45. item ponc. 13 esse datum, componitur ex 4 et 9. jam quaere methodim ulrus
  46. communem, emendi propositum: Fac . 34 bc. et 13 p CC + l dati autem
  47. funt quae quadrati sunt et + et d C + E + 2bC + e
  48. Ergo fier e +C bC, et 2e+CE rbel CC + B
  49. saltem sta miquisitio artes plurimas ostendet, quibus, natura ad exitum utitur

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 16, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068229:0015?run=74