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Leibniz-Handschriften zur Mathematik LH 35, 4, 8, fol. 2r

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: 0.87.

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. 1v); this page is its right half.

The machine reads it as

  1. 22, 2 + 83, 3 = 113 aqu
  2. 12, 2, 2 + 12, (3, 3 = (13)17 aequ. 0.
  3. +C F12, 113 (aequ. 0 Ergo 3 so 22, 63
  4. 290
  5. 13, 22,-
  6. Et Z aequ 3,63, = 1, 113
  7. 1213, - 13, 22
  8. 12, 2 + (3, 3 + 14, 4. = 119 aequ. 8. 22, 2 + 23 3 + 24, 4 209agi 0. 32,2 + 38 3 424 299
  9. V 12, 2 + 13, d - 63 aequ. 0
  10. 2)) 22 + 23,3 - 113 aequ. 0.
  11. proba 12, 2 aequ. 24. 13, 2, aqu. 39. 39 + 244963
  12. Proba: 32, 2, aequ. 44 23, 3 aequ 69 44 +69 aequ. 13
  13. n 52. 2 Muctiplicatio reciproca aequationum per
  14. () 12,222 + 12, 23, 3 = 12, 113 aequ. 0 peri in 12 coefficientes incognitarum 2. 3.
  15. 6)413, 22, 3 -22, 63 aequ.0 aequ 3 - aequ. 4..
  16. (6) 3 aequ. 23, 63 = 12, 113 4 aequ. 5. divita per 1372 - 12, 23.
  17. -12, 23. +12, 113
  18. 13, 22 = 12, 23
  19. 25, 3 = 13, 113
  20. 12, 25 - 13, 22
  21. 14 aego - 63
  22. 24 equ 13
  23. 2, 63 aqu
  24. 1313
  25. summa
  26. + 13, 22 aequ
  27. = 12, 23
  28. summa
  29. Fit ad imitationem aequationis mutatis mo
  30. NAM, L invenitur ex 12. 22. 13, 23, 63, 113
  31. in quo ingens calculi compendium consis
  32. mutatis signis numeratoris pariter et nominatoris
  33. in valore ipsius 2. in aequ. 7. Ratio mutationis
  34. est, qu ut idem sit naminator
  35. appareat aequationis valoris ipsius 3 aequ. 6. et
  36. 1, 113 = 23,63
  37. 0020
  38. aequ
  39. qu i + 133 F14. 4 - 19 aquio (troba. 24 + 39 + 56 aequ. 19 g0
  40. 10)) 12iL +233 + 24, - 209 aqu. 0. Proba: 44 +69 + 96 aequ. 209
  41. 117. 32R. + 37,3 + 34, -299 aequ.0 proba: 64 99 136 aqu 299
  42. Jam ut quam compendiosissime procedamus et praecedenti calculo hic
  43. utamur, considerandum est esse
  44. 12)) 63 aequ. 119 - 14, 4 paq. 9 per aequ. 1. = aequ. 9.
  45. per aequ. 2 = egu. 10.
  46. quos valores literrum quantitatum 63. 113. substituendo in eorum
  47. 13)) 113, aequ. 209 - 24, 4
  48. 14) 2 aequ
  49. proba.
  50. Ut 3 invenitur ex 13, 23. 12, 22, 63. 113
  51. ipsius 2. hic: 12, 113 aequ. 1469
  52. (Proba :. - 2363 aequ 1449
  53. summa
  54. 13, 22 = 12, 13
  55. locum in valoribus quantitatum 2. 3. repertis aequ. 8. 6. e fiet:
  56. 13, 209 = 13, 24, 4 - 23, 119 + 23, 14, 4
  57. 13, 22 = 12, 23
  58. Hi duo valores ducti intelliguntur ex
  59. aequationibus 9. 10. qui si
  60. substituantur in aequ. 11 habebitur
  61. valor ipsius 4.
  62. 15) 3 aqu. 227 119 - 22, 14, 4 - 12, 209 + 12, 24 +
  63. Nimirum in aequ. 11. multiplicando 34, 4- 299 per nominatorem ammunem valorum 2. 3.
  64. 13, 22 = 12, 23.
  65. et pro ipsis 2. 3. sut in eadem, equatione 11. substituendo numeratores valorum, fiet:
  66. 16)) 13, 32, 209 - 13, 24, 32, 4 - 23, 32, 119 + 14, 23, 32, 2, 0 22, 33, 119 - 14, 22, 33, 4 - 12, 33 209 + 12, 24, 33, 4 .
  67. e
  68. soleo autem ne errem inter substituendum, separatim conside
  69. Ubi notandum primo inter substituendum ac describendum solere ne exiguum semper instituers examen per partes
  70. + 13, 22, 34,4 - 13, 28229, - 12, 23, 34, 4 + 12, 23, 299
  71. considerando separatim, signa, confficie terminos coefficientes. Sed quod palmarium hic est invenimus hic novissi
  72. aequationem sine ula destructione, quod signum est caculi compendiose instituti nam quoties claque multa sub exitum
  73. cietur, perumque signum est eo abintio vitari potuisse Bapitur quod autem nihil destrui possed, inihio potuit
  74. disi seaute
  75. i e asficcas
  76. altera, nempe
  77. ecum goatiodis des a an Pos. u
  78. aulirm 3atiils. et . a l 1es. pae n printus un sutt
  79. 22,63 - 12, 113
  80. 13, 22 - (2, 23
  81. +13, 22
  82. = 12, 23
  83. 56
  84. equ. 3
  85. +10 ut supra
  86. 2,: 24
  87. 81o28
  88. 12, 12, 2 + 13, , 5 - 163, 2 aqud
  89. +13 22, 3 d CB) 22,63
  90. =12, 23..
  91. 12, 2 4 13, 3 = (63) aqu. 0
  92. 322 64
  93. + 13, 113 = 23, 63
  94. aequ
  95. +13,22 = 12, c3
  96. aequ. 2.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 8, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068005:0003?run=73