Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 43

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

The machine reads it as

  1. aleimi.
  2. nc.
  3. e1dI.
  4. qutioum
  5. quemli.
  6. A
  7. ponendi
  8. Prodatis
  9. Alphabeti
  10. Eut pet-
  11. MBUM Id-
  12. Oine.
  13. lependent,
  14. DdiS expit.
  15. Mti uu
  16. quae ratio
  17. DItaS d In.
  18. tae, divet.
  19. ex lequem
  20. idem adu
  21. +
  22. 201.
  23. AIA TEESEOS TINLVERSALIS.
  24. Ethabeacur b - Z e00, Fiet, addendo uerobique Z, b 30Z. FF (I Ha-
  25. DCatUE
  26. =a9∞ O, eTII
  27. Fier Z3 ∞ a a4, eec.
  28. ∞ ag: UC _ (1Z3 - a a G _GHCEUF O,
  29. Non secus lihabeatur Z+ - - a 23 -- b b27 ∞ dt = c3Z, adden-
  30. douerique parti f a 73 F bb
  31. n
  32. L a
  33. Ex quibus constat, quantitates signo = adfectas ad di utrique
  34. parti, li eximantur ab una parte, e in alteram partem transte-
  35. rantur sub signo.
  36. De Deductione per Subtractionem.
  37. FindesitueritZ = 3 ∞ 12; quia si ab aequalibus aequalia vel
  38. idem auteras, illa quae relinquuneur (unt ae qualias tit ue, sub-
  39. erahendo utrinque L 3, habeatur Z ∞9.
  40. Fodem nodo (ihabeaturZZ F aZ 0 bb, Suberacto utringue
  41. Y aZ, HCLZ Z ∞ = aZ F bb.
  42. Similiter Z3- f 2C3∞ aZZ F bbZ L C3 reducetUE ad Z3 DAZZ
  43. 1bbZ - c3, Suberahendo utrinque + 263.
  44. Unde colligitur quantitates igno -L adfectas ab utraque parte
  45. Suberahi, eximendo ipsas ex una parte de transterendo in alteram
  46. partem sub signo -: atque adeo quicquid rel additione rel sub-
  47. cractione transtertur, adtici ligno contrario.
  48. DeReductione per Mulciplicationem.
  49. DOrro si ad reducendu prOPONATUE = ∞ 5: quoniamm X qua-
  50. lia per aequalia vel idem mulciplicata, producunt aequalia;
  51. Eiet mulciplicando utrinque per 3, Z ∞ 25. Sic de si habeatur
  52. ag
  53. 2 ∞= inrenietur, mulciplicando utrinque per Z, ZZ ∞ aq, eC.
  54. Fodem modo si fuerit.
  55. a: quoniam, delendo denomina-
  56. FOrCM Z b prioris partis 22
  57. E. ipla pars mulciplicatur per 2-- b:
  58. hinc oportet etiam alteram partem a multiplicare PCFZ = b, UE
  59. habCaEUL AqUatIOItCFZZ _C aZ. = a b.
  60. Similicer (I (it ~ ∞ 22 -- b2. +- bB
  61. :quoniam, Tublato denomina-
  62. tOrc

Cite

Ps. 2, fol. 43. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0067?run=74