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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 91v

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: 0.76.

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. 90r); this page is its left half.

The machine reads it as

  1. l+ m = -Y Im = = q.7
  2. M3
  3. x+l+ m =0
  4. fiet M = - q. 3l
  5. et 27l + 27Y13 -9= 0 seu 16+ rl - 1=
  6. fint l’+ M = Y
  7. X = - l, m X = - l m FImX, seu X lmX +
  8. jam X+ gX +r =o fit qu lm. 3 et r 1= m lm = - 9: 3
  9. 1+m = Y = lA , B = Y. fiat 2716 - 27r12- 90 seu fiet
  10. 2
  11. 6- rl - _ =0 1+m.
  12. Pulem Hypothesin sic faciendam ut omne sit non nisi
  13. per 1 m, erc. fine rationale excepto max. seu totali
  14. = X - dm X + lmin XX +. lmap X + lan lm. b
  15. (10
  16. Hinc si 15 contnent aliquod rationalem
  17. necesse est e valorem aliquid rationare
  18. conficere; quod si lnqo ema lmup nihil
  19. deberent. Nam cum X ex nostra hypothesi, necesse est id solum quod est
  20. in XS rationale, Equari ipsi 15 ut supposuimm sit Im = B Emn - Imup- S
  21. .
  22. D
  23. 5
  24. 3B8
  25. 3yP
  26. eIS
  27. 3
  28. Hic ex hypothesi quod rationale in 10 sumi debet ex eo quo rationale est
  29. et in dd XX, et in (5. posito omnia praeter 8 esse nrationalia
  30. sed in fallor res meliis deducitur priore mores ex
  31. + 23C
  32. +B3p,
  33. + βd
  34. u
  35. et in SX
  36. X= P = Om + Vmm = le mn + l’M + l mun = lMap + ar Cminn. mmnpi
  37. p
  38. =lm + Vmn + B mnn + Cm ap + Pmmnnp + FMA ( m n+ lmnp + l’Nn’H mnp i
  39. m
  40. continerent rationale, etiam ta saltem line tm. lun aliquid rationple confaere
  41. Urum
  42. = X + Bx + yX + ( X + BY X + (3 B X + B2xx + X +
  43. +M nP + P mnp lX ubi infaller statum patet in solo
  44. 10 et ln laere ravale quod est in r quia lmnp hic cum aliis non combinatur
  45. sed videndum an secundum hanc hypothesin posito immp esse rationalem conscn
  46. +
  47. tiaut quae du rationalia quae ducuntur ex l = x + BXd etc. Et quae ducuntur
  48. d
  49. ex (10 = (d Bm etc. Nam in priore occurrit B3 cortmens aliquid rationale est
  50. autem B= composita ex Cm n B et ita resoloendo ad modim ta 1. patet
  51. quad ratiorale in B, non posse secund hn rothesu assumtam esse nisi in BM ita
  52. pidebimus auliceat facere _ d rationalem, seu an ita habeatur consensus.
  53. Un
  54. anes si liceat assamemus prd pro rationali incerta, quae demutur
  55. altinia aequotione deferminabitur modo ibi non occurgal
  56. 20
  57. aqualis difficultate cum quaesila, seu 8 +.. d + et
  58. et aequalio
  59. es ois in itio et quiulo gradu prius bene excilcenda est
  60. ex ab ab ab etc. possunt haberi per B, V, S, etc. sed i non tamen plane sine x simplice
  61. est
  62. abC
  63. 2aabc7 = 2abX
  64. albc
  65. atcC
  66. jane XX haberi potest per X et aa ab= B aa bb + 2aabc + 2abcd
  67. Hinc mo licut facere ab et abc, et = datis quia sic con passent haberi ab, atE, et sine X
  68. t

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 91v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0182?run=74