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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 241v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 240r); this page is its left half.

The machine reads it as

  1. Ut litrras _t 1, 13; 31, 33; 12, 22 irveniamus ope denominatum 123, 223; 11, 213; 112, 112
  2. Incipiamus ab 11 et 33 per denominatores 3 et pumum et ultimum
  3. 00. 223 + (00- 13) 32
  4. Ex denom. 1 33 = 00 (123 +2 + 13) - 13. 32, : 12 = 00 (2231 321 33) 33. 32, gE 00 (223 132) 1332, :, 12 -00 nom. 2
  5. Unde fit 13 f00 31) 13 = 00. 12. 223 00. 123 00. 12. PE 0000.
  6. , 12. 13. 23Foao2 u, Unde fit B3 00 213 00 12. 123 F 00, 137. 32 - 00. 12. 123 - 00. 12. 12 400. 00. 123, 00. dv 12; 00. 32
  7. v0. 1b. 131 399
  8. A = 10 1331 seu 13= 0d cc 12 + (16) 123 (03:, 1n E 1092 (0)00.
  9. seu 13 =
  10. seu 13Z 1( 12
  11. nde 100, 22512 + 00. 32. 12C 13. 32, 2. 3. 721. 12)
  12. =12 + 08: 123 00. 123. 12 +00. 12. 12 +00. 13. 12 69. 125. 00 - 00. 12.00 - 0d. 1700
  13. 4223 +22)4 e
  14. vgo, Teg3
  15. F13. 32.00
  16. Exralore 13 fit valsr 33 permutando t. e3. itm t0. et 2..
  17. Ex valore 13 fit valor 33 per mutando 10 et 30 item 10r et 20.
  18. 3212Z F12) +00. 223
  19. Ero siet 33 =
  20. Ulli ex 123, 223 duximus 13 et 33, ita ex 112, 212 ducemus 11 et 31, permutando 1D et, 3a
  21. fita ee
  22. (= 22 132) +00. 112
  23. 2 (+ 112 + 12) +00. 212
  24. valores inventos quantitatum 13, 33, U, 31 substituere oportet in valoribus ipsorum 113, 213
  25. fit 11 =
  26. Sed hoc ut possit commode fieri expripendi sunt compendiose + 223 - 123 +32- 12 400 = 1312
  27. ubi nota oa yHE bis 00 = 1312+3121
  28. 32+ 12E = B 82 8
  29. = 2112+ 1321
  30. 32, 12 = 42 32t 12 = dt2
  31. 1I = 12. 3112 +00. 112,:42
  32. 13 = 32. 3121 +00. 123:42
  33. 122 - 227 +12-32 400 = 3121
  34. 312- 112 + 32 - 12 +00 = 31 12
  35. 112 = 212 +12 - 32 +00 = 1321
  36. 31 = 32. 1321 +9a212, iq HS valores substituamus in voloribus 113, 213
  37. 33 = 12. 1312 +C0023,42
  38. firt 9042. 42. 113 = 12. 12. 3112. 1312+ 00. 12. 223. 3112+00,00. 112. 223
  39. 400. 12 112. 1312
  40. 3232. 3121.1321 + 00. 32. 42. 3121 +00100. 113. 212
  41. Et 00. 42. 42. 213 =
  42. 00. 37, 123. 1321
  43. -00. 42. 12. 3112-00.00. 42. 112
  44. 00. 42 323121 =00. 00. 42 123
  45. = 00. 42. 32.131 = 00.00. 42. 712
  46. - 00. 42. 121312 = 00. 00. 42 223
  47. 92. (13- 21) = +1 2519 12 4 32 ( 317 + 0092 22, 4 00G21
  48. 1 a
  49. ineur
  50. + 32(+112 421
  51. unde fit
  52. L - 212 = 123
  53. 216(o3 1223+2.
  54. +21325+ 12 + 13 (+M fu2Ipu + 0 ( 00 (5 400 (1215
  55. = 123l+ 31)
  56. V.11252325
  57. Itio si faceremus 12 +32 0 fieret 223 = t23
  58. Haec aequatio eadem manet, si permutas 1. et 2. item 100 et 2..
  59. -11357+32

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 241v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0478?run=74