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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 4r

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: 0.84.

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. 6v); this page is its right half.

The machine reads it as

  1. (x+b, RrcX X+b, XFE, X+ d, productum aequandum quadrat
  2. sit X= f Hno s P. 1, m, n P, et si les significant formulas quales 10Z+ 11,
  3. +a X= ftlm + g sn + h smn +R ak 7 = (2) on sutot p) = o lm HB ∞O. orp stm Y 2. 000. 012 p S, pr e 30 p mB
  4. Ergo f = 2. 000. 01 F
  5. 210226113
  6. o mutco Dn. +2. 02073M o a3l im
  7. aK= o1 lon +000 pp - ac
  8. 023 smn
  9. 9=2. 000. 013p h = 2.000. 023 P
  10. ors mn
  11. +2.012.013l
  12. tr a t2a
  13. ax + ab = q un +Y In Fs YA, in (2) (21 Sal + 22 am + 23 san G 4)
  14. 110, 120, 13
  15. +7. O12. 023. M
  16. seu fitm+ giint himnq as
  17. 2013. 023 p
  18. et habentur f, g, h, H
  19. 2. 31. 22a (M
  20. +2st al quem tial qribn +2 al 25VA r. 12 aq In
  21. + d3 ans
  22. +an
  23. +2d B ag mn
  24. + di AH
  25. atm Zaatsm +22. X aat Ama rre at
  26. +2. V Bakllm 12. 12. 13agm lIn +2. V. LaL sma
  27. +2. V. Ba5ilm 12. V. Lasmiln +2. X2_lImn
  28. seu salm+ gunah omn + at =.
  29. ut prius, nisi quod pro 2, 22, B
  30. ponuntur 31, 32,33
  31. prodeunt aequationes et pro literis ubi citerae p, 4.Y, si t, libeae
  32. et t
  33. neque invicem ductae habentur et earum ope profligantur ipt aequationes E
  34. restant tres, quas ingrediuntur literae l, m, n
  35. Hic ope deremmi
  36. taut aprum arbitrariarum, 012, 013, 023; 41, 42, 2; 31, 32, 33 quae sunt 9
  37. novem tollantur B, inh n, lin lnd le lmn 10, 11; 20, 21, 30,3)
  38. numero 15, explicatione. jam lu min srecta veniendum ad identiva
  39. 4 +3 + 2∞i si assungitur ad 23, opus est bi aequationibis
  40. 4+31 2+1, sed si assurgeretur ad Z, opus soret
  41. 5 + 4, + 3 +2 +1 = 15, et credo non sufficerent
  42. arbitiaris
  43. si in plicius omnia
  44. 2. 113, 123n
  45. 2. 100. 112 P
  46. 2. 213, 223n
  47. 2. 200 212
  48. 2. 313. 323n
  49. ax+ ab = quadr. ab 12 ulm 4 113 + In + 173 smm + 100
  50. ax + ac
  51. ax + ad
  52. 9-2 112. 123m
  53. 2. 100. 113P
  54. 2.212. 223m
  55. 2.200. 2139
  56. 2.312. 313M
  57. h = 2. 112. 1131
  58. 2. 100. 123P
  59. 2. 212. 2131
  60. 2. 200. 2239
  61. 2. 212. 3131
  62. 2. 300. 323Y
  63. 2. 300. 213r
  64. ax = 12 ln 4100 pp - ab
  65. = 22 ln + 200 99-ac
  66. = 3ietm +300 r
  67. sunt aequationes octo, ubi tolluntur primum , , + ope priorum 6, ipsae
  68. 2. 300. 312Y
  69. l, m, n, sed ita ut inveniantur valores ipsarum p, q,r, m, n, sed non valor
  70. ipsius l, quod cavetur sablatiane destrnctione.. Restant duae posteniores
  71. in ni reditur ad I1, l, jo et destinantur
  72. denique 117 et l, rest abit l 20. qua omnia videntur per facile
  73. ubi explicalis P, g,r,
  74. Rem puginis sequia ious exiquamur
  75. eodem modo ax +.
  76. Mande
  77. Mtaltntdum
  78. viztlan
  79. Unde

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 4r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0007?run=74