Leibniz Legible

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LBr. 454 · Augustin Thomas à S.Josepho, fol. 37v

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: 0.85.

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. 36r); this page is its left half.

The machine reads it as

  1. Sequunt jam Comissis fracti innumeris) numeri integri possibiles pro va
  2. -l. p
  3. lore a. ex suxionbus Canonibus et schematibus intra primam Centuriam extracti.
  4. EA namque a = (3). 4. (5) 5. 9. (13). 14. 15. 18. (19). 20. 24. 28. (29) (31) 33. 34.
  5. 35. 39. 40. 46. 48. 49. 51. (53), 55. 60, 63, 64, 65, 6b. 66. (73). 50. 54. 58. (59).
  6. 94. 95. 99. 100. etc.
  7. Numeri intra parenthesinC sunt primitivi, et quinque WD. 4. 9. 49. 64. 100.
  8. ls
  9. Denique qui delectatur majoribus adhuc Universalitatibus, quas Thilosophi
  10. Analstici Tdeas vocant, hurc servire poterunt sequentes duo Canones Universa
  11. lissimi, ex superioribus Canonibus et schematismis in hoc compendiud contracti.
  12. Lx ne Canone erat Xy = X = a
  13. Fx 2d0 202+8 sive 272+8 = a
  14. Si jam in utroque Canone, substituat valor ipiius a
  15. et in 2d0, y loco X. habebunt sequentes duo Canones Universatissimi
  16. imus
  17. anon . X + a = X + X)
  18. 2
  19. = y2
  20. 2
  21. In numeris x et y sumunt ad libitud, integri
  22. Pro Confactore Y = X + Xγ- X = vel fracti, ut yy major sit quam X.
  23. Y= X
  24. anon 23g. X+ a = Y + 27Z7Z
  25. V2
  26. Tro Confactore 272+X
  27. y2
  28. =
  29. 29ZF22
  30. yF27Z+ 22
  31. (272FZ): y2
  32. 2
  33. Latus Y + E
  34. 4272+22
  35. 72
  36. Latus Y FE
  37. In numeris 2 et y pro hoc 2do Canone sumant ad libitu, utrobia
  38. alteruter major vel minor, vel aequalis, in integris, fractis, aut mixtis. 3
  39. Hisce duobus Canonibus comprehendunt omnes casus et numeri
  40. possibiles, tam pro a quam pro X, sive in integrus, sive in fractis
  41. sive mixtis, hoc est. partim integrus, partim fractis.
  42. Conchesio.
  43. Redeundo ergo ad intentuo Celeberrimi Dmi Proxonentis
  44. Detur ex possibilibus numerus a = 55 vel 59 etc. quaritur X
  45. ut X+ aequetur ito rationali.
  46. Qui pracedentibus e instructus, facile reperiet X, secus minime.
  47. Pro Colophone Liceat ex his proponere sequentia Problemata.
  48. F. Invenire duos numeros quadratos integros a, .
  49. n
  50. 2
  51. sit qua
  52. dratum rationale. dales sunt a = g. b = 4. et 4 +3 = 25. Petunts plures et plures.
  53. 2
  54. 2. Invenire numerum quadratum rationalem = a, eundemque = b, ita ut
  55. a sit quadratu rationale.
  56. 2. Invenire numeru primitivum = a, et alium quempram integrum = b
  57. ut b + 4 sit quadratu rationale. Sales sunt 17 = 4. 91 -- 100. 363 - 1369. et
  58. 51
  59. 163 -6724. Petuntur plura talia paradiymata.
  60. s1
  61. L
  62. 2
  63. g.

Cite

LBr. 454 · Augustin Thomas à S.Josepho, fol. 37v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 82). https://leibnizlegible.com/page/DE-611-HS-957479:0074?run=82