Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 227 · Eckhard, A., fol. 43r

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: 0.86.

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. 42v); this page is its right half.

The machine reads it as

  1. Add.
  2. tum AB ∞ 47F
  3. C
  4. Ato BC∞ 22
  5. Agyr. erit Itu HC X 522
  6. Lto AC seu
  7. Ervo si ex (5Z extrahatur
  8. C
  9. rarlio quadrata, erit radix illa ipsum latus
  10. C
  11. jam vero radix ex 22 est 2, at ex valearatiu
  12. radix ex 5 est
  13. numecie dari non potest, unde hypothenusa
  14. AC ita notatur. E quad idem est at sid
  15. ex Abradicem extraatam atox cadic epsahendi
  16. et
  17. radicem est 5 extrahendam esce, et quad
  18. de resultat per 4 multiplicandum este, pcaduct
  19. foce hspothenasam A(: at rudix ex 5 ind
  20. ris cari nequis
  21. me
  22. Eed si hoi adeo manolestum Tiber non eriz adhur
  23. clacius me explicabo. Duo requiruntur in proble
  24. fecimo censc
  25. mate, ut omnia latera ali ABC
  26. sint numerira
  27. tionales: alterum ut area sit numerus quadrata
  28. Ut omnia latera sint numeri rationalet, necesa
  29. est, ut latera rita laterum AB et BC addita epu
  30. stitvant numerum quadratum, seu talem nume
  31. ex quo radis cquadrata extraci poscit: nam duo
  32. illa quadrata AB et C aequantur quadratu
  33. hypathenusa AC. Ei itaque bina illa quadraca
  34. BB et BC addita nonconstiturent numorum
  35. quadhatum, seu talem numerum ex quo radix
  36. quadrata exthahi poscit, hypothenusa At( non
  37. erit numerus ratinalis
  38. Ex ox. sesto AB4
  39. (3. Itum AB 1b additum eito BC
  40. Hituit alium numerum quadratum Z,
  41. 9 con-
  42. ex quo
  43. radix extracta 5 constrtuit hypothenusam A
  44. Quadsi lautem radix sextras ppotuiscet, huu
  45. Thenusa non escet rumeru rationalis
  46. Jam vero ut bina illa couadrata
  47. aliuemr
  48. et
  49. addita constituant numerum quadratum
  50. BC
  51. cel este debet ad
  52. stL
  53. ut ad
  54. Tarti notum

Cite

LBr. 227 · Eckhard, A., fol. 43r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 97). https://leibnizlegible.com/page/DE-611-HS-960119:0085?run=97